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2017

  • 1.

    Borisov A. V., Kilin A. A., Mamaev I. S.

    Hamilton’s Principle and the Rolling Motion of a Symmetric Ball
    Doklady Physics, 2017, vol. 62, no. 6, pp. 314-317
    Abstract          pdf  (206.42 Kb)
  • 2.

    Borisov A. V., Kilin A. A., Karavaev Y. L.

    On the retrograde motion of a rolling disk
    Physics-Uspekhi, 2017, vol. 60, no. 9, pp. 1003-1006
    Abstract          pdf  (467.82 Kb)
  • 3.

    Borisov A. V., Vetchanin  E. V., Kilin A. A.

    Control of the Motion of a Triaxial Ellipsoid in a Fluid Using Rotors
    Mathematical Notes, 2017, vol. 102, no. 4, pp. 455-464
    Abstract          pdf  (616.14 Kb)
  • 4.

    Borisov A. V., Mamaev I. S., Bizyaev I. A.

    Dynamical systems with nonintegrable constraints: vakonomic mechanics, sub-Riemannian geometry and nonholonomic mechanics
    Russian Mathematical Surveys, 2017, vol. 72, no. 5(437), pp. 3-62
    Abstract          pdf  (1.11 Mb)
  • 5.

    Borisov A. V., Mamaev I. S.

    An Inhomogeneous Chaplygin Sleigh
    Regular and Chaotic Dynamics, 2017, vol. 22, no. 4, pp. 435-447
    Abstract          pdf  (676.55 Kb)
  • 6.

    Bizyaev I. A.

    The Inertial Motion of a Roller Racer
    Regular and Chaotic Dynamics, 2017, vol. 22, no. 3, pp. 239-247
    Abstract          pdf  (3.26 Mb)
  • 7.

    Kilin A. A., Pivovarova E. N.

    The Rolling Motion of a Truncated Ball Without Slipping and Spinning on a Plane
    Regular and Chaotic Dynamics, 2017, vol. 22, no. 3, pp. 298-317
    Abstract          pdf  (399.6 Kb)
  • 8.

    Bizyaev I. A.

    The Inertial Motion of a <i>Roller Racer</i>
    Regular and Chaotic Dynamics, 2017, vol. 22, no. 3, pp. 239-247
    Abstract          pdf  (3.26 Mb)
  • 9.

    Bizyaev I. A., Borisov A. V., Mamaev I. S.

    The Hess–Appelrot Case and Quantization of the Rotation Number
    Regular and Chaotic Dynamics, 2017, vol. 22, no. 2, pp. 180-196
    Abstract          pdf  (991.1 Kb)
  • 10.

    Bizyaev I. A., Borisov A. V., Mamaev I. S.

    The Hess–Appelrot case and quantization of the rotation number
    Russian Journal of Nonlinear Dynamics, 2017, vol. 13, no. 3, pp. 433-452
    Abstract          pdf  (556.32 Kb)
  • 11.

    Borisov A. V., Kazakov A. O., Pivovarova E. N.

    Regular and chaotic dynamics in the rubber model of a Chaplygin top
    Russian Journal of Nonlinear Dynamics, 2017, vol. 13, no. 2, pp. 277-297
    Abstract          pdf  (2.3 Mb)
  • 12.

    Bizyaev I. A., Borisov A. V., Kilin A. A., Mamaev I. S.

    Integrability and nonintegrability of sub-Riemannian geodesic flows on Carnot groups
    Russian Journal of Nonlinear Dynamics, 2017, vol. 13, no. 1, pp. 129-146
    Abstract          pdf  (2.82 Mb)
  • 13.

    Vetchanin  E. V., Kilin A. A.

    Control of Body Motion in an Ideal Fluid Using the Internal Mass and the Rotor in the Presence of Circulation Around the Body
    Journal of Dynamical and Control Systems, 2017, vol. 23, pp. 435-458
    Abstract          pdf  (1.49 Mb)
  • 14.

    Vetchanin  E. V., Mamaev I. S.

    Optimal control of the motion of a helical body in a liquid using rotors
    Russian Journal of Mathematical Physics, 2017, vol. 24, no. 3, pp. 399-411
    Abstract          pdf  (582.92 Kb)

2016

  • 15.

    Ivanova T. B., Erdakova N. N., Karavaev Y. L.

    Experimental Investigation of the Dynamics of a Brake Shoe
    Doklady Physics, 2016, vol. 61, no. 12, pp. 611-614
    Abstract          pdf  (414.8 Kb)
  • 16.

    Vetchanin  E. V., Kilin A. A.

    Free and controlled motion of a body with moving internal mass though a fluid in the presence of circulation around the body
    Doklady Physics, 2016, vol. 466, no. 3, pp. 293-297
    Abstract          pdf  (300.44 Kb)
  • 17.

    Kozlov V. V., Sergeev A. G.

    Modern problems of mechanics, Collected papers
    Proceedings of the Steklov Institute of Mathematics, 2016, vol. 295, 351 pp.
    Abstract         
  • 18.

    Vetchanin  E. V., Kilin A. A.

    Controlled Motion of a Rigid Body with Internal Mechanisms in an Ideal Incompressible Fluid
    Proceedings of the Steklov Institute of Mathematics, 2016, vol. 295, pp. 302-332
    Abstract          pdf  (1.36 Mb)
  • 19.

    Karavaev Y. L., Kilin A. A.

    Nonholonomic Dynamics and Control of a Spherical Robot with an Internal Omniwheel Platform: Theory and Experiments
    Proceedings of the Steklov Institute of Mathematics, 2016, vol. 295, pp. 158-167
    Abstract          pdf  (366.98 Kb)
  • 20.

    Bizyaev I. A., Borisov A. V., Mamaev I. S.

    Generalizations of the Kovalevskaya Case and Quaternions
    Proceedings of the Steklov Institute of Mathematics, 2016, vol. 295, pp. 33-44
    Abstract          pdf  (190.82 Kb)
  • 21.

    Bizyaev I. A., Borisov A. V., Mamaev I. S.

    The Hess–Appelrot system and its nonholonomic analogs
    Proceedings of the Steklov Institute of Mathematics, 2016, vol. 294, pp. 268-292
    Abstract          pdf  (1.23 Mb)
  • 22.

    Kozlov V. V., Treschev D. V.

    Topology of the configuration space, singularities of the potential, and polynomial integrals of equations of dynamics
    Sbornik: Mathematics, 2016, vol. 207, no. 10, pp. 1435–1449
    Abstract         
  • 23.

    Borisov A. V., Ryabov P. E., Sokolov S. V.

    Bifurcation Analysis of the Motion of a Cylinder and a Point Vortex in an Ideal Fluid
    Mathematical Notes, 2016, vol. 99, no. 6, pp. 834-839
    Abstract          pdf  (545.15 Kb)
  • 24.

    Kozlov V. V.

    On the equations of the hydrodynamic type
    Journal of Applied Mathematics and Mechanics, 2016, vol. 80, no. 3, pp. 209–214
    Abstract         
  • 25.

    Kozlov V. V.

    Invariant measures of smooth dynamical systems, generalized functions and summation methods
    Izvestiya: Mathematics, 2016, vol. 80, no. 2, pp. 342–358
    Abstract          pdf  (289.71 Kb)
  • 26.

    Ivanova T. B., Mamaev I. S.

    Dynamics of a Painlevé-Appel system
    Journal of Applied Mathematics and Mechanics, 2016, vol. 80, no. 1, pp. 7-15
    Abstract          pdf  (1.78 Mb)
  • 27.

    Kozlov V. V.

    Polynomial conservation laws for the Lorentz gas and the Boltzmann–Gibbs gas
    Russian Mathematical Surveys, 2016, vol. 71, no. 2, pp. 253–290
    Abstract          pdf  (723.26 Kb)
  • 28.

    Borisov A. V., Kuznetsov S. P., Mamaev I. S., Tenenev V. A.

    Describing the Motion of a Body with an Elliptical Cross Section in a Viscous Uncompressible Fluid by Model Equations Reconstructed from Data Processing
    Technical Physics Letters, 2016, vol. 42, no. 9, pp. 886-890
    Abstract          pdf  (508.12 Kb)
  • 29.

    Borisov A. V., Kuznetsov S. P.

    Regular and Chaotic Motions of a Chaplygin Sleigh under Periodic Pulsed Torque Impacts
    Regular and Chaotic Dynamics, 2016, vol. 21, no. 7-8, pp. 792-803
    Abstract          pdf  (1.65 Mb)
  • 30.

    Vetchanin  E. V., Kilin A. A., Mamaev I. S.

    Control of the Motion of a Helical Body in a Fluid Using Rotors
    Regular and Chaotic Dynamics, 2016, vol. 21, no. 7-8, pp. 874-884
    Abstract          pdf  (1.23 Mb)
  • 31.

    Borisov A. V., Kazakov A. O., Pivovarova E. N.

    Regular and Chaotic Dynamics in the Rubber Model of a Chaplygin Top
    Regular and Chaotic Dynamics, 2016, vol. 21, no. 7-8, pp. 885-901
    Abstract          pdf  (2.21 Mb)
  • 32.

    Karavaev Y. L., Kilin A. A., Klekovkin A. V.

    Experimental Investigations of the Controlled Motion of a Screwless Underwater Robot
    Regular and Chaotic Dynamics, 2016, vol. 21, no. 7-8, pp. 918-926
    Abstract          pdf  (6.91 Mb)
  • 33.

    Klenov A. I., Kilin A. A.

    Influence of Vortex Structures on the Controlled Motion of an Above-water Screwless Robot
    Regular and Chaotic Dynamics, 2016, vol. 21, no. 7-8, pp. 927-938
    Abstract          pdf  (6.5 Mb)
  • 34.

    Borisov A. V., Kazakov A. O., Sataev I. R.

    Spiral Chaos in the Nonholonomic Model of a Chaplygin Top
    Regular and Chaotic Dynamics, 2016, vol. 21, no. 7-8, pp. 939-954
    Abstract          pdf  (2.21 Mb)
  • 35.

    Bizyaev I. A., Borisov A. V., Kilin A. A., Mamaev I. S.

    Integrability and Nonintegrability of Sub-Riemannian Geodesic Flows on Carnot Groups
    Regular and Chaotic Dynamics, 2016, vol. 21, no. 6, pp. 759-774
    Abstract          pdf  (3.48 Mb)
  • 36.

    Borisov A. V., Mamaev I. S., Bizyaev I. A.

    The Spatial Problem of 2 Bodies on a Sphere. Reduction and Stochasticity
    Regular and Chaotic Dynamics, 2016, vol. 21, no. 5, pp. 556-580
    Abstract          pdf  (1.45 Mb)
  • 37.

    Borisov A. V., Mamaev I. S., Bizyaev I. A.

    Historical and Critical Review of the Development of Nonholonomic Mechanics: the Classical Period
    Regular and Chaotic Dynamics, 2016, vol. 21, no. 4, pp. 455-476
    Abstract          pdf  (1.87 Mb)
  • 38.

    Bizyaev I. A., Borisov A. V., Mamaev I. S.

    The Dynamics of Vortex Sources in a Deformation Flow
    Regular and Chaotic Dynamics, 2016, vol. 21, no. 3, pp. 367-376
    Abstract          pdf  (1.37 Mb)
  • 39.

    Borisov A. V., Mamaev I. S.

    Adiabatic Invariants, Diffusion and Acceleration in Rigid Body Dynamics
    Regular and Chaotic Dynamics, 2016, vol. 21, no. 2, pp. 232-248
    Abstract          pdf  (941.28 Kb)
  • 40.

    Bizyaev I. A., Borisov A. V., Mamaev I. S.

    Dynamics of the Chaplygin Sleigh on a Cylinder
    Regular and Chaotic Dynamics, 2016, vol. 21, no. 1, pp. 136-146
    Abstract          pdf  (268.54 Kb)
  • 41.

    Bizyaev I. A., Borisov A. V., Mamaev I. S.

    Dynamics of the Chaplygin sleigh on a cylinder
    Russian Journal of Nonlinear Dynamics, 2016, vol. 12, no. 4, pp. 675–687
    Abstract          pdf  (331.42 Kb)
  • 42.

    Vetchanin  E. V., Kilin A. A.

    Control of the motion of an unbalanced heavy ellipsoid in an ideal fluid using rotors
    Russian Journal of Nonlinear Dynamics, 2016, vol. 12, no. 4, pp. 663–674
    Abstract          pdf  (304.78 Kb)
  • 43.

    Borisov A. V., Mamaev I. S., Bizyaev I. A.

    Historical and critical review of the development of nonholonomic mechanics: the classical period
    Russian Journal of Nonlinear Dynamics, 2016, vol. 12, no. 3, pp. 385-411
    Abstract          pdf  (1.9 Mb)
  • 44.

    Bizyaev I. A., Borisov A. V., Kazakov A. O.

    Dynamics of the Suslov problem in a gravitational field: reversal and strange attractors
    Russian Journal of Nonlinear Dynamics, 2016, vol. 12, no. 2, pp. 263-287
    Abstract          pdf  (3.54 Mb)
  • 45.

    Borisov A. V., Kilin A. A., Mamaev I. S.

    On the Hadamard–Hamel problem and the dynamics of wheeled vehicles
    Russian Journal of Nonlinear Dynamics, 2016, vol. 12, no. 1, pp. 145-163
    Abstract          pdf  (445.79 Kb)
  • 46.

    Tenenev V. A., Vetchanin  E. V., Ilaletdinov L. F.

    Chaotic dynamics in the problem of the fall of a screw-shaped body in a fluid
    Russian Journal of Nonlinear Dynamics, 2016, vol. 12, no. 1, pp. 99-120
    Abstract          pdf  (4.44 Mb)
  • 47.

    Bizyaev I. A., Borisov A. V., Mamaev I. S.

    The Hojman Construction and Hamiltonization of Nonholonomic Systems
    Symmetry, Integrability and Geometry: Methods and Applications, 2016, vol. 12, 012, 19 pp.
    Abstract          pdf  (571.09 Kb)
  • 48.

    Vetchanin  E. V., Kazakov A. O.

    Bifurcations and chaos in the dynamics of two point vortices in an acoustic wave
    International Journal of Bifurcation and Chaos, 2016, vol. 26, no. 4, 1650063, 13 pp.
    Abstract          pdf  (1.38 Mb)
  • 49.

    Borisov A. V., Mamaev I. S.

    Rigid Body Dynamics in Non-Euclidean Spaces
    Russian Journal of Mathematical Physics, 2016, vol. 23, no. 4, pp. 431-454
    Abstract          pdf  (704.17 Kb)
  • 50.

    Borisov A. V., Mamaev I. S., Erdakova N. N.

    Dynamics of a body sliding on a rough plane and supported at three points
    Theoretical and Applied Mechanics, 2016, vol. 43, no. 2, pp. 169-190
    Abstract          pdf  (1.81 Mb)
  • 51.

    Kozlov V. V.

    The phenomenon of reversal in the Euler–Poincaré–Suslov nonholonomic systems
    Journal of Dynamical and Control Systems, 2016, vol. 22, no. 4, pp. 713–724
    Abstract         

2015

  • 52.

    Kozlov V. V., Smolyanov O. G.

    Invariant and quasi-invariant measures on infinite-dimensional spaces
    Doklady Mathematics, 2015, vol. 92, no. 3, pp. 743–746
    Abstract         
  • 53.

    Borisov A. V., Mamaev I. S.

    A New Integrable System of Nonholonomic Mechanics
    Doklady Physics, 2015, vol. 60, no. 6, pp. 269-271
    Abstract          pdf  (255.48 Kb)
  • 54.

    Bizyaev I. A., Kozlov V. V.

    Homogeneous systems with quadratic integrals, Lie–Poisson quasi-brackets, and the Kovalevskaya method
    Sbornik: Mathematics, 2015, vol. 206, no. 12, pp. 29–54
    Abstract          pdf  (481.65 Kb)
  • 55.

    Borisov A. V., Mamaev I. S.

    Notes on new friction models and nonholonomic mechanics
    Physics-Uspekhi, 2015, vol. 58, no. 12, pp. 1220-1222
    Abstract          pdf  (262.98 Kb)
  • 56.

    Bizyaev I. A., Borisov A. V., Mamaev I. S.

    Figures of equilibrium of an inhomogeneous self-gravitating fluid
    Celestial Mechanics and Dynamical Astronomy, 2015, vol. 122, no. 1, pp. 1-26
    Abstract          pdf  (651.34 Kb)
  • 57.

    Bolsinov A. V., Kilin A. A., Kazakov A. O.

    Topological monodromy as an obstruction to Hamiltonization of nonholonomic systems: Pro or contra?
    Journal of Geometry and Physics, 2015, vol. 87, pp. 61-75
    Abstract          pdf  (754.64 Kb)
  • 58.

    Borisov A. V., Mamaev I. S., Karavaev Y. L.

    On the loss of contact of the Euler disk
    Nonlinear Dynamics, 2015, vol. 79, no. 4, pp. 2287-2294
    Abstract          pdf  (829.12 Kb)
  • 59.

    Kozlov V. V.

    Rational integrals of quasi-homogeneous dynamical systems
    Journal of Applied Mathematics and Mechanics, 2015, vol. 79, no. 3, pp. 209–216
    Abstract         
  • 60.

    Borisov A. V., Mamaev I. S.

    Equations of motion of non-holonomic systems
    Russian Mathematical Surveys, 2015, vol. 70, no. 6, pp. 1167-1169
    Abstract          pdf  (335.26 Kb)
  • 61.

    Bugaev A. S., Buslaev A. P., Kozlov V. V., Tatashev A. G., Yashina M. V.

    Generalized transport-logistic problem as class of dynamical systems
    Mathematical Models and Computer Simulations, 2015, vol. 27, no. 12, pp. 65–87
    Abstract          pdf  (925.4 Kb)
  • 62.

    Pivovarova E. N., Klekovkin A. V.

    Influence of rolling friction on the controlled motion of a robot wheel
    Bulletin of Udmurt University. Mathematics. Mechanics. Computer Science, 2015, vol. 25, no. 4, pp. 583-592
    Abstract          pdf  (395.52 Kb)
  • 63.

    Klenov A. I., Vetchanin  E. V., Kilin A. A.

    Experimental determination of the added masses by method of towing
    Bulletin of Udmurt University. Mathematics. Mechanics. Computer Science, 2015, vol. 25, no. 4, pp. 568-582
    Abstract          pdf  (1.88 Mb)
  • 64.

    Vetchanin  E. V., Klenov A. I.

    Optical measurement of a fluid velocity field around a falling plate
    Bulletin of Udmurt University. Mathematics. Mechanics. Computer Science, 2015, vol. 25, no. 4, pp. 554-567
    Abstract          pdf  (4.06 Mb)
  • 65.

    Vetchanin  E. V., Karavaev Y. L., Kalinkin A. A., Klekovkin A. V., Pivovarova E. N.

    A model of a screwless underwater robot
    Bulletin of Udmurt University. Mathematics. Mechanics. Computer Science, 2015, vol. 25, no. 4, pp. 544-553
    Abstract          pdf  (308.24 Kb)
  • 66.

    Borisov A. V., Mamaev I. S., Kilin A. A., Bizyaev I. A.

    Qualitative Analysis of the Dynamics of a Wheeled Vehicle
    Regular and Chaotic Dynamics, 2015, vol. 20, no. 6, pp. 739-751
    Abstract          pdf  (445.93 Kb)
  • 67.

    Borisov A. V., Kilin A. A., Mamaev I. S.

    On the Hadamard – Hamel Problem and the Dynamics of Wheeled Vehicles
    Regular and Chaotic Dynamics, 2015, vol. 20, no. 6, pp. 752-766
    Abstract          pdf  (265.93 Kb)
  • 68.

    Kilin A. A., Pivovarova E. N., Ivanova T. B.

    Spherical Robot of Combined Type: Dynamics and Control
    Regular and Chaotic Dynamics, 2015, vol. 20, no. 6, pp. 716-728
    Abstract          pdf  (306.92 Kb)
  • 69.

    Bizyaev I. A., Borisov A. V., Kazakov A. O.

    Dynamics of the Suslov Problem in a Gravitational Field: Reversal and Strange Attractors
    Regular and Chaotic Dynamics, 2015, vol. 20, no. 5, pp. 605-626
    Abstract          pdf  (640.12 Kb)
  • 70.

    Borisov A. V., Mamaev I. S.

    Symmetries and Reduction in Nonholonomic Mechanics
    Regular and Chaotic Dynamics, 2015, vol. 20, no. 5, pp. 553-604
    Abstract          pdf  (539.38 Kb)
  • 71.

    Borisov A. V., Karavaev Y. L., Mamaev I. S., Erdakova N. N., Ivanova T. B., Tarasov V. V.

    Experimental Investigation of the Motion of a Body with an Axisymmetric Base Sliding on a Rough Plane
    Regular and Chaotic Dynamics, 2015, vol. 20, no. 5, pp. 518-541
    Abstract          pdf  (516.92 Kb)
  • 72.

    Kozlov V. V.

    The Dynamics of Systems with Servoconstraints. II
    Regular and Chaotic Dynamics, 2015, vol. 20, no. 4, pp. 401-427
    Abstract          pdf  (861.95 Kb)
  • 73.

    Borisov A. V., Mamaev I. S., Bizyaev I. A.

    The Jacobi Integral in Nonholonomic Mechanics
    Regular and Chaotic Dynamics, 2015, vol. 20, no. 3, pp. 383-400
    Abstract          pdf  (990.04 Kb)
  • 74.

    Kozlov V. V.

    The Dynamics of Systems with Servoconstraints. I
    Regular and Chaotic Dynamics, 2015, vol. 20, no. 3, pp. 205-224
    Abstract          pdf  (810.79 Kb)
  • 75.

    Borisov A. V., Kilin A. A., Mamaev I. S.

    Dynamics and Control of an Omniwheel Vehicle
    Regular and Chaotic Dynamics, 2015, vol. 20, no. 2, pp. 153-172
    Abstract          pdf  (1.11 Mb)
  • 76.

    Karavaev Y. L., Kilin A. A.

    The Dynamics and Control of a Spherical Robot with an Internal Omniwheel Platform
    Regular and Chaotic Dynamics, 2015, vol. 20, no. 2, pp. 134-152
    Abstract          pdf  (1.38 Mb)
  • 77.

    Borisov A. V., Mamaev I. S.

    Symmetries and Reduction in Nonholonomic Mechanics
    Russian Journal of Nonlinear Dynamics, 2015, vol. 11, no. 4, pp. 763–823
    Abstract          pdf  (909.32 Kb)
  • 78.

    Bizyaev I. A., Bolsinov A. V., Borisov A. V., Mamaev I. S.

    Topology and Bifurcations in Nonholonomic Mechanics
    Russian Journal of Nonlinear Dynamics, 2015, vol. 11, no. 4, pp. 735–762
    Abstract          pdf  (561.73 Kb)
  • 79.

    Kilin A. A., Karavaev Y. L.

    Experimental research of dynamic of spherical robot of combined type
    Russian Journal of Nonlinear Dynamics, 2015, vol. 11, no. 4, pp. 721–734
    Abstract          pdf  (761.73 Kb)
  • 80.

    Kilin A. A., Vetchanin  E. V.

    The contol of the motion through an ideal fluid of a rigid body by means of two moving masses
    Russian Journal of Nonlinear Dynamics, 2015, vol. 11, no. 4, pp. 633–645
    Abstract          pdf  (413.58 Kb)
  • 81.

    Kozlov V. V.

    The dynamics of systems with servoconstraints. II
    Russian Journal of Nonlinear Dynamics, 2015, vol. 11, no. 3, pp. 579-611
    Abstract          pdf  (560.42 Kb)
  • 82.

    Borisov A. V., Karavaev Y. L., Mamaev I. S., Erdakova N. N., Ivanova T. B., Tarasov V. V.

    On the dynamics of a body with an axisymmetric base sliding on a rough plane
    Russian Journal of Nonlinear Dynamics, 2015, vol. 11, no. 3, pp. 547-577
    Abstract          pdf  (2.38 Mb)
  • 83.

    Borisov A. V., Mamaev I. S., Bizyaev I. A.

    The Jacobi Integral in NonholonomicMechanics
    Russian Journal of Nonlinear Dynamics, 2015, vol. 11, no. 2, pp. 377-396
    Abstract          pdf  (1.9 Mb)
  • 84.

    Kozlov V. V.

    The dynamics of systems with servoconstraints. I
    Russian Journal of Nonlinear Dynamics, 2015, vol. 11, no. 2, pp. 353-376
    Abstract          pdf  (505.17 Kb)
  • 85.

    Karavaev Y. L., Kilin A. A.

    The dynamic of a spherical robot with an internal omniwheel platform
    Russian Journal of Nonlinear Dynamics, 2015, vol. 11, no. 1, pp. 187-204
    Abstract          pdf  (530.7 Kb)
  • 86.

    Kozlov V. V.

    Principles of dynamics and servo-constraints
    Russian Journal of Nonlinear Dynamics, 2015, vol. 11, no. 1, pp. 169-178
    Abstract          pdf  (316.31 Kb)
  • 87.

    Bolsinov A. V., Borisov A. V., Mamaev I. S.

    Geometrisation of Chaplygin's reducing multiplier theorem
    Nonlinearity, 2015, vol. 28, no. 7, pp. 2307–2318
    Abstract          pdf  (156.41 Kb)
  • 88.

    Bizyaev I. A., Bolsinov A. V., Borisov A. V., Mamaev I. S.

    Topology and Bifurcations in Nonholonomic Mechanics
    International Journal of Bifurcation and Chaos, 2015, vol. 25, no. 10, 1530028, 21 pp.
    Abstract          pdf  (645.53 Kb)
  • 89.

    Bizyaev I. A., Borisov A. V., Mamaev I. S.

    Hamiltonization of Elementary Nonholonomic Systems
    Russian Journal of Mathematical Physics, 2015, vol. 22, no. 4, pp. 444-453
    Abstract          pdf  (115.49 Kb)
  • 90.

    Ivanova T. B., Pivovarova E. N.

    Dynamics and Control of a Spherical Robot with an Axisymmetric Pendulum Actuator
    arXiv:1511.02655v1, 2015, 14 pp.
    Abstract          pdf  (535.3 Kb)
  • 91.

    Kozlov V. V., Buslaev A. P., Tatashev A. G.

    A dynamical communication system on a network
    Journal of Computational and Applied Mathematics, 2015, vol. 275, pp. 247–261
    Abstract         
  • 92.

    Kozlov V. V., Buslaev A. P., Tatashev A. G., Yashina M. V.

    Dynamical systems on honeycombs
    Traffic and granular flow '13, Springer, 2015, pp. 441–452
    Abstract         
  • 93.

    Kozlov V. V., Buslaev A. P., Tatashev A. G.

    Monotonic walks on a necklace and a coloured dynamic vector
    International Journal of Computer Mathematics, 2015, vol. 92, no. 9, pp. 1910–1920
    Abstract         
  • 94.

    Kozlov V. V., Buslaev A. P., Tatashev A. G.

    On real-valued oscillations of a bipendulum
    Applied Mathematics Letters, 2015, vol. 46, pp. 44–49
    Abstract         
  • 95.

    Kozlov V. V.

    Coarsening in ergodic theory
    Russian Journal of Mathematical Physics, 2015, vol. 22, no. 2, pp. 184–187
    Abstract         

2014

  • 96.

    Bizyaev I. A.

    Nonintegrability and Obstructions to the Hamiltonianization of a Nonholonomic Chaplygin Top
    Doklady Mathematics, 2014, vol. 90, no. 2, pp. 631–634
    Abstract          pdf  (203.47 Kb)
  • 97.

    Kozlov V. V.

    Fluctuations of gibbs ensembles
    Doklady Mathematics, 2014, vol. 90, no. 2, pp. 622–625
    Abstract         
  • 98.

    Borisov A. V., Kazakov A. O., Kuznetsov S. P.

    Nonlinear dynamics of the rattleback: a nonholonomic model
    Physics-Uspekhi, 2014, vol. 184, no. 5, pp. 453-460
    Abstract          pdf  (750.09 Kb)
  • 99.

    Borisov A. V., Mamaev I. S., Tsiganov A. V.

    On the Nonlinear Poisson Bracket Arising in Nonholonomic Mechanics
    Mathematical Notes, 2014, vol. 95, no. 3, pp. 308-315
    Abstract          pdf  (509.63 Kb)
  • 100.

    Kozlov V. V.

    Liouville's equation as a Schrödinger equation
    Izvestiya: Mathematics, 2014, vol. 78, no. 4, pp. 744–757
    Abstract         
  • 101.

    Kozlov V. V.

    The dynamics of systems with large gyroscopic forces and the realization of constraints
    Journal of Applied Mathematics and Mechanics, 2014, vol. 78, no. 3, pp. 213–219
    Abstract         
  • 102.

    Borisov A. V., Mamaev I. S., Tsiganov A. V.

    Non-holonomic dynamics and Poisson geometry
    Russian Mathematical Surveys, 2014, vol. 69, no. 3, pp. 481-538
    Abstract          pdf  (917.58 Kb)
  • 103.

    Davydov A. A., Kozlov V. V., Chernousko F. L.

    International mathematical conferences and schools for young researchers in Suzdal
    Russian Mathematical Surveys, 2014, vol. 69, no. 1, pp. 183–185
    Abstract         
  • 104.

    Erdakova N. N., Mamaev I. S.

    On the dynamics of point vortices in an annular region
    Fluid Dynamics Research, 2014, vol. 46, no. 3, 031420, 7 pp.
    Abstract          pdf  (205.4 Kb)
  • 105.

    Borisov A. V., Kazakov A. O., Sataev I. R.

    The Reversal and Chaotic Attractor in the Nonholonomic Model of Chaplygin’s Top
    Regular and Chaotic Dynamics, 2014, vol. 19, no. 6, pp. 718-733
    Abstract          pdf  (1.29 Mb)
  • 106.

    Bizyaev I. A., Borisov A. V., Mamaev I. S.

    The Dynamics of Three Vortex Sources
    Regular and Chaotic Dynamics, 2014, vol. 19, no. 6, pp. 694-701
    Abstract          pdf  (244.27 Kb)
  • 107.

    Borisov A. V., Erdakova N. N., Ivanova T. B., Mamaev I. S.

    The Dynamics of a Body with an Axisymmetric Base Sliding on a Rough Plane
    Regular and Chaotic Dynamics, 2014, vol. 19, no. 6, pp. 607-634
    Abstract          pdf  (965.59 Kb)
  • 108.

    Kozlov V. V.

    On Rational Integrals of Geodesic Flows
    Regular and Chaotic Dynamics, 2014, vol. 19, no. 6, pp. 601-606
    Abstract          pdf  (145.78 Kb)
  • 109.

    Bizyaev I. A., Borisov A. V., Mamaev I. S.

    Superintegrable Generalizations of the Kepler and Hook Problems
    Regular and Chaotic Dynamics, 2014, vol. 19, no. 3, pp. 415-434
    Abstract          pdf  (300.95 Kb)
  • 110.

    Bizyaev I. A., Borisov A. V., Mamaev I. S.

    The Dynamics of Nonholonomic Systems Consisting of a Spherical Shell with a Moving Rigid Body Inside
    Regular and Chaotic Dynamics, 2014, vol. 19, no. 2, pp. 198-213
    Abstract          pdf  (241.48 Kb)
  • 111.

    Kozlov V. V.

    Remarks on Integrable Systems
    Regular and Chaotic Dynamics, 2014, vol. 19, no. 2, pp. 145-161
    Abstract          pdf  (186.79 Kb)
  • 112.

    Ivanova T. B., Pivovarova E. N.

    Comments on the Paper by A.V. Borisov, A.A. Kilin, I.S. Mamaev "How to Control the Chaplygin Ball Using Rotors. II"
    Regular and Chaotic Dynamics, 2014, vol. 19, no. 1, pp. 140-143
    Abstract          pdf  (170.77 Kb)
  • 113.

    Mamaev I. S., Ivanova T. B.

    The Dynamics of a Rigid Body with a Sharp Edge in Contact with an Inclined Surface in the Presence of Dry Friction
    Regular and Chaotic Dynamics, 2014, vol. 19, no. 1, pp. 116-139
    Abstract          pdf  (735.75 Kb)
  • 114.

    Borisov A. V., Kudryashov N. A.

    Paul Painlevé and His Contribution to Science
    Regular and Chaotic Dynamics, 2014, vol. 19, no. 1, pp. 1-19
    Abstract          pdf  (1.89 Mb)
  • 115.

    Kilin A. A., Karavaev Y. L.

    The kinematic control model for a spherical robot with an unbalanced internal omniwheel platform
    Russian Journal of Nonlinear Dynamics, 2014, vol. 10, no. 4, pp. 497-511
    Abstract          pdf  (986.08 Kb)
  • 116.

    Borisov A. V., Erdakova N. N., Ivanova T. B., Mamaev I. S.

    On the dynamics of a body with an axisymmetric base sliding on a rough plane
    Russian Journal of Nonlinear Dynamics, 2014, vol. 10, no. 4, pp. 483-495
    Abstract          pdf  (667.35 Kb)
  • 117.

    Kilin A. A., Bobykin A. D.

    Control of a Vehicle with Omniwheels on a Plane
    Russian Journal of Nonlinear Dynamics, 2014, vol. 10, no. 4, pp. 473-481
    Abstract          pdf  (520.34 Kb)
  • 118.

    Kozlov V. V.

    On Rational Integrals of Geodesic Flows
    Russian Journal of Nonlinear Dynamics, 2014, vol. 10, no. 4, pp. 439-445
    Abstract          pdf  (302.05 Kb)
  • 119.

    Borisov A. V., Kazakov A. O., Sataev I. R.

    Regular and Chaotic Attractors in the Nonholonomic Model of Chapygin's ball
    Russian Journal of Nonlinear Dynamics, 2014, vol. 10, no. 3, pp. 361-380
    Abstract          pdf  (1.3 Mb)
  • 120.

    Borisov A. V., Mamaev I. S.

    Invariant Measure and Hamiltonization of Nonholonomic Systems
    Russian Journal of Nonlinear Dynamics, 2014, vol. 10, no. 3, pp. 355-359
    Abstract          pdf  (283.75 Kb)
  • 121.

    Vetchanin  E. V., Kazakov A. O.

    Bifurcations and chaos in the problem of the motion of two point vortices in an acoustic wave
    Russian Journal of Nonlinear Dynamics, 2014, vol. 10, no. 3, pp. 329-343
    Abstract          pdf  (5.62 Mb)
  • 122.

    Bizyaev I. A., Borisov A. V., Mamaev I. S.

    The dynamics of three vortex sources
    Russian Journal of Nonlinear Dynamics, 2014, vol. 10, no. 3, pp. 319-327
    Abstract          pdf  (413.32 Kb)
  • 123.

    Bizyaev I. A.

    On a generalization of systems of Calogero type
    Russian Journal of Nonlinear Dynamics, 2014, vol. 10, no. 2, pp. 209-212
    Abstract          pdf  (237.84 Kb)
  • 124.

    Ivanova T. B., Pivovarova E. N.

    Comment on the paper by A.V. Borisov, A.A. Kilin, I.S. Mamaev “How to control the Chaplygin ball using rotors. II”
    Russian Journal of Nonlinear Dynamics, 2014, vol. 10, no. 1, pp. 127-131
    Abstract          pdf  (234.11 Kb)
  • 125.

    Kilin A. A., Karavaev Y. L., Klekovkin A. V.

    Kinematic control of a high manoeuvrable mobile spherical robot with internal omni-wheeled platform
    Russian Journal of Nonlinear Dynamics, 2014, vol. 10, no. 1, pp. 113-126
    Abstract          pdf  (3.43 Mb)
  • 126.

    Bizyaev I. A., Borisov A. V., Mamaev I. S.

    Figures of equilibrium of an inhomogeneous self-gravitating fluid
    Russian Journal of Nonlinear Dynamics, 2014, vol. 10, no. 1, pp. 73-100
    Abstract          pdf  (492.78 Kb)
  • 127.

    Alalykin S. S., Bogatyrev A. V., Ivanova T. B., Pivovarova E. N.

    Determination of moments of inertia and the position of the center of mass of robotic devices
    Bulletin of Udmurt University. Physics and Chemistry, 2014, no. 4, pp. 79-86
    Abstract          pdf  (311.48 Kb)
  • 128.

    Borisov A. V., Kilin A. A., Mamaev I. S., Tenenev V. A.

    The dynamics of vortex rings: leapfrogging in an ideal and viscous fluid
    Fluid Dynamics Research, 2014, vol. 46, no. 3, 031415, 16 pp.
    Abstract          pdf  (746.69 Kb)
  • 129.

    Fedorov Y. N., Kozlov V. V.

    A memoir on integrable systems
    Springer Monographs in Mathematics. Berlin: Springer, 2014, 480 pp.
    Abstract         
  • 130.

    Kozlov V. V.

    Conservation laws of generalized billiards that are polynomial in momenta
    Russian Journal of Mathematical Physics, 2014, vol. 21, no. 2, pp. 226–241
    Abstract         
  • 131.

    Kozlov V. V., Buslaev A. P., Tatashev A. G.

    Behavior of pendulums on a regular polygon
    Journal of Communication and Computer, 2014, vol. 11, no. 1, pp. 30–38
    Abstract          pdf  (294.98 Kb)
  • 132.

    Buslaev A. P., Kozlov V. V.

    On a system of nonlinear differential equations for the model of totally connected traffic
    Journal of Concrete and Applicable Mathematics, 2014, vol. 12, no. 1-2, pp. 86–93
    Abstract          pdf  (580.72 Kb)

2013

  • 133.

    Kozlov V. V.

    On Bohl's Argument Theorem
    Mathematical Notes, 2013, vol. 93, no. 1, pp. 83–89
    Abstract          pdf  (426.79 Kb)
  • 134.

    Kozlov V. V.

    The behaviour of cyclic variables in integrable systems
    Journal of Applied Mathematics and Mechanics, 2013, vol. 77, no. 2, pp. 128–136
    Abstract          pdf  (246.21 Kb)
  • 135.

    Bizyaev I. A., Tsiganov A. V.

    On the Routh sphere problem
    Journal of Physics A: Mathematical and Theoretical, 2013, vol. 46, no. 8, 085202, 11 pp.
    Abstract          pdf  (169.11 Kb)
  • 136.

    Bugaev A. S., Buslaev A. P., Kozlov V. V., Tatashev A. G., Yashina M. V.

    Traffic modeling: monotonic total-connected random walk on a network
    Mathematical Models and Computer Simulations, 2013, vol. 25, no. 8, pp. 3–21
    Abstract          pdf  (449.44 Kb)
  • 137.

    Borisov A. V., Kilin A. A., Mamaev I. S.

    The Problem of Drift and Recurrence for the Rolling Chaplygin Ball
    Regular and Chaotic Dynamics, 2013, vol. 18, no. 6, pp. 832-859
    Abstract          pdf  (702.93 Kb)
  • 138.

    Borisov A. V., Mamaev I. S.

    The Dynamics of the Chaplygin Ball with a Fluid-filled Cavity
    Regular and Chaotic Dynamics, 2013, vol. 18, no. 5, pp. 490-496
    Abstract          pdf  (405.38 Kb)
  • 139.

    Borisov A. V., Mamaev I. S.

    Topological Analysis of an Integrable System Related to the Rolling of a Ball on a Sphere
    Regular and Chaotic Dynamics, 2013, vol. 18, no. 4, pp. 356-371
    Abstract          pdf  (488.37 Kb)
  • 140.

    Kozlov V. V.

    The Euler–Jacobi–Lie Integrability Theorem
    Regular and Chaotic Dynamics, 2013, vol. 18, no. 4, pp. 329-343
    Abstract          pdf  (377.18 Kb)
  • 141.

    Borisov A. V., Mamaev I. S., Bizyaev I. A.

    The Hierarchy of Dynamics of a Rigid Body Rolling without Slipping and Spinning on a Plane and a Sphere
    Regular and Chaotic Dynamics, 2013, vol. 18, no. 3, pp. 277-328
    Abstract          pdf  (2.69 Mb)
  • 142.

    Borisov A. V., Kilin A. A., Mamaev I. S.

    How to Control the Chaplygin Ball Using Rotors. II
    Regular and Chaotic Dynamics, 2013, vol. 18, no. 1-2, pp. 144-158
    Abstract          pdf  (1.73 Mb)
  • 143.

    Vetchanin  E. V., Mamaev I. S., Tenenev V. A.

    The Self-propulsion of a Body with Moving Internal Masses in a Viscous Fluid
    Regular and Chaotic Dynamics, 2013, vol. 18, no. 1-2, pp. 100-117
    Abstract          pdf  (1.71 Mb)
  • 144.

    Borisov A. V., Kilin A. A., Mamaev I. S.

    The Dynamics of Vortex Rings: Leapfrogging, Choreographies and the Stability Problem
    Regular and Chaotic Dynamics, 2013, vol. 18, no. 1-2, pp. 33-62
    Abstract          pdf  (857.35 Kb)
  • 145.

    Borisov A. V., Kilin A. A., Mamaev I. S.

    The problem of drift and recurrence for the rolling Chaplygin ball
    Russian Journal of Nonlinear Dynamics, 2013, vol. 9, no. 4, pp. 721-754
    Abstract          pdf  (875.6 Kb)
  • 146.

    Bolsinov A. V., Borisov A. V., Mamaev I. S.

    Geometrization of the Chaplygin reducing-multiplier theorem
    Russian Journal of Nonlinear Dynamics, 2013, vol. 9, no. 4, pp. 627-640
    Abstract          pdf  (373.67 Kb)
  • 147.

    Mamaev I. S., Ivanova T. B.

    The dynamics of rigid body whose sharp edge is in contact with a inclined surface with dry friction
    Russian Journal of Nonlinear Dynamics, 2013, vol. 9, no. 3, pp. 567-594
    Abstract          pdf  (886.59 Kb)
  • 148.

    Bizyaev I. A., Borisov A. V., Mamaev I. S.

    The dynamics of nonholonomic systems consisting of a spherical shell with a moving rigid body inside
    Russian Journal of Nonlinear Dynamics, 2013, vol. 9, no. 3, pp. 547-566
    Abstract          pdf  (441.83 Kb)
  • 149.

    Erdakova N. N., Mamaev I. S.

    On the dynamics of a body with an axisymmetric base sliding on a rough plane
    Russian Journal of Nonlinear Dynamics, 2013, vol. 9, no. 3, pp. 521-545
    Abstract          pdf  (612.94 Kb)
  • 150.

    Ivanova T. B., Pivovarova E. N.

    Dynamics and Control of a Spherical Robot with an Axisymmetric Pendulum Actuator
    Russian Journal of Nonlinear Dynamics, 2013, vol. 9, no. 3, pp. 507-520
    Abstract          pdf  (582.48 Kb)
  • 151.

    Borisov A. V., Mamaev I. S., Karavaev Y. L.

    On the loss of contact of the Euler disk
    Russian Journal of Nonlinear Dynamics, 2013, vol. 9, no. 3, pp. 499-506
    Abstract          pdf  (362.06 Kb)
  • 152.

    Kozlov V. V.

    Notes on integrable systems
    Russian Journal of Nonlinear Dynamics, 2013, vol. 9, no. 3, pp. 459-478
    Abstract          pdf  (375.2 Kb)
  • 153.

    Bizyaev I. A., Kazakov A. O.

    Integrability and stochastic behavior in some nonholonomic dynamics problems
    Russian Journal of Nonlinear Dynamics, 2013, vol. 9, no. 2, pp. 257-265
    Abstract          pdf  (2.27 Mb)
  • 154.

    Kozlov V. V.

    The Euler–Jacobi–Lie integrability theorem
    Russian Journal of Nonlinear Dynamics, 2013, vol. 9, no. 2, pp. 229-245
    Abstract          pdf  (377.18 Kb)
  • 155.

    Bolsinov A. V., Kilin A. A., Kazakov A. O.

    Topological monodromy in nonholonomic systems
    Russian Journal of Nonlinear Dynamics, 2013, vol. 9, no. 2, pp. 203-227
    Abstract          pdf  (890.26 Kb)
  • 156.

    Borisov A. V., Mamaev I. S., Bizyaev I. A.

    The hierarchy of dynamics of a rigid body rolling without slipping and spinning on a plane and a sphere
    Russian Journal of Nonlinear Dynamics, 2013, vol. 9, no. 2, pp. 141-202
    Abstract          pdf  (7.91 Mb)
  • 157.

    Karavaev Y. L., Trefilov S. A.

    Deviation based discrete control algorithm for omni-wheeled mobile robot
    Russian Journal of Nonlinear Dynamics, 2013, vol. 9, no. 1, pp. 91-100
    Abstract          pdf  (434.7 Kb)
  • 158.

    Borisov A. V., Kilin A. A., Mamaev I. S.

    How to control the Chaplygin ball using rotors. II
    Russian Journal of Nonlinear Dynamics, 2013, vol. 9, no. 1, pp. 59-76
    Abstract          pdf  (2.71 Mb)
  • 159.

    Vetchanin  E. V., Tenenev V. A., Shaura  A. S.

    Motion control of a rigid body in viscous fluid
    Computer Research and Modeling, 2013, vol. 5, no. 4, pp. 659-675
    Abstract          pdf  (359.11 Kb)
  • 160.

    Borisov A. V., Mamaev I. S., Treschev D. V.

    Rolling of a Rigid Body Without Slipping and Spinning: Kinematics and Dynamics
    Journal of Applied Nonlinear Dynamics, 2013, vol. 2, no. 2, pp. 161-173
    Abstract          pdf  (269.77 Kb)
  • 161.

    Kozlov V. V.

    Obschaya teoriya vikhrei
    2 ed., Moscow–Izhevsk: Institute of Computer Science, 2013, 324 pp.
    Abstract         
  • 162.

    Kozlov V. V.

    Polynomial in momenta invariants of Hamilton's equations, divergent series and generalized functions
    Nonlinearity, 2013, vol. 26, no. 3, pp. 745–756
    Abstract         
  • 163.

    Kozlov V. V., Furta S. D.

    Asymptotic solutions of strongly nonlinear systems of differential equations
    Translated from the 2009 Russian second edition [first edition: MR1457796] by Lester J. Senechal. Springer Monographs in Mathematics. Springer, Heidelberg, 2013, xx+262 pp.
    Abstract          pdf  (165.98 Kb)

2012

  • 164.

    Kozlov V. V., Smolyanov O. G.

    Hamiltonian aspects of quantum theory
    Doklady Mathematics, 2012, vol. 85, no. 3, pp. 416–420
    Abstract         
  • 165.

    Kozlov V. V.

    An extension of the Hamilton-Jacobi method
    Doklady Mathematics, 2012, vol. 85, no. 2, pp. 301–303
    Abstract         
  • 166.

    Denisova N. V., Kozlov V. V., Treschev D. V.

    Remarks on polynomial integrals of higher degrees for reversible systems with toral configuration space
    Izvestiya: Mathematics, 2012, vol. 76, no. 5, pp. 907–921
    Abstract          pdf  (519.88 Kb)
  • 167.

    Kozlov V. V.

    Invariant manifolds of Hamilton's equations
    Journal of Applied Mathematics and Mechanics, 2012, vol. 76, no. 4, pp. 378–387
    Abstract          pdf  (254.88 Kb)
  • 168.

    Kozlov V. V.

    The statistical mechanics of a class of dissipative systems
    Journal of Applied Mathematics and Mechanics, 2012, vol. 76, no. 1, pp. 15–24
    Abstract         
  • 169.

    Kozlov V. V.

    An Extended Hamilton–Jacobi Method
    Regular and Chaotic Dynamics, 2012, vol. 17, no. 6, pp. 580-596
    Abstract          pdf  (216.54 Kb)
  • 170.

    Bolsinov A. V., Borisov A. V., Mamaev I. S.

    Rolling of a Ball without Spinning on a Plane: the Absence of an Invariant Measure in a System with a Complete Set of Integrals
    Regular and Chaotic Dynamics, 2012, vol. 17, no. 6, pp. 571-579
    Abstract          pdf  (402.12 Kb)
  • 171.

    Borisov A. V., Jalnine A. Y., Kuznetsov S. P., Sataev I. R., Sedova Y. V.

    Dynamical Phenomena Occurring due to Phase Volume Compression in Nonholonomic Model of the Rattleback
    Regular and Chaotic Dynamics, 2012, vol. 17, no. 6, pp. 512-532
    Abstract          pdf  (4.23 Mb)
  • 172.

    Bolsinov A. V., Borisov A. V., Mamaev I. S.

    The Bifurcation Analysis and the Conley Index in Mechanics
    Regular and Chaotic Dynamics, 2012, vol. 17, no. 5, pp. 457-478
    Abstract          pdf  (614.32 Kb)
  • 173.

    Borisov A. V., Kilin A. A., Mamaev I. S.

    How to Control Chaplygin’s Sphere Using Rotors
    Regular and Chaotic Dynamics, 2012, vol. 17, no. 3-4, pp. 258-272
    Abstract          pdf  (242.89 Kb)
  • 174.

    Borisov A. V., Mamaev I. S.

    Two Non-holonomic Integrable Problems Tracing Back to Chaplygin
    Regular and Chaotic Dynamics, 2012, vol. 17, no. 2, pp. 191-198
    Abstract          pdf  (150.32 Kb)
  • 175.

    Borisov A. V., Kilin A. A., Mamaev I. S.

    Generalized Chaplygin’s Transformation and Explicit Integration of a System with a Spherical Support
    Regular and Chaotic Dynamics, 2012, vol. 17, no. 2, pp. 170-190
    Abstract          pdf  (484.82 Kb)
  • 176.

    Kozlov V. V.

    On Invariant Manifolds of Nonholonomic Systems
    Regular and Chaotic Dynamics, 2012, vol. 17, no. 2, pp. 131-141
    Abstract          pdf  (239.09 Kb)
  • 177.

    Borisov A. V., Mamaev I. S.

    Topological analysis of one integrable system related to the rolling of a ball over a sphere
    Russian Journal of Nonlinear Dynamics, 2012, vol. 8, no. 5, pp. 957-975
    Abstract          pdf  (796.84 Kb)
  • 178.

    Vetchanin  E. V., Mamaev I. S., Tenenev V. A.

    The motion of a body with variable mass geometry in a viscous fluid
    Russian Journal of Nonlinear Dynamics, 2012, vol. 8, no. 4, pp. 815-836
    Abstract          pdf  (15.9 Mb)
  • 179.

    Borisov A. V., Mamaev I. S., Treschev D. V.

    Rolling of a rigid body without slipping and spinning: kinematics and dynamics
    Russian Journal of Nonlinear Dynamics, 2012, vol. 8, no. 4, pp. 783-797
    Abstract          pdf  (347.06 Kb)
  • 180.

    Bolsinov A. V., Borisov A. V., Mamaev I. S.

    Rolling without spinning of a ball on a plane: absence of an invariant measure in a system with a complete set of first integrals
    Russian Journal of Nonlinear Dynamics, 2012, vol. 8, no. 3, pp. 605-616
    Abstract          pdf  (328.96 Kb)
  • 181.

    Treschev D. V., Erdakova N. N., Ivanova T. B.

    On the final motion of cylindrical solids on a rough plane
    Russian Journal of Nonlinear Dynamics, 2012, vol. 8, no. 3, pp. 585-603
    Abstract          pdf  (623.55 Kb)
  • 182.

    Bizyaev I. A., Tsiganov A. V.

    On the Routh sphere
    Russian Journal of Nonlinear Dynamics, 2012, vol. 8, no. 3, pp. 569-583
    Abstract          pdf  (299.77 Kb)
  • 183.

    Kozlov V. V.

    An extended Hamilton–Jacobi method
    Russian Journal of Nonlinear Dynamics, 2012, vol. 8, no. 3, pp. 549-568
    Abstract          pdf  (400.68 Kb)
  • 184.

    Borisov A. V., Kilin A. A., Mamaev I. S.

    How to control the Chaplygin sphere using rotors
    Russian Journal of Nonlinear Dynamics, 2012, vol. 8, no. 2, pp. 289-307
    Abstract          pdf  (400.44 Kb)
  • 185.

    Grinchenko V. T., Krasnopolskaya T. S., Borisov A. V., van Heijst G. J.

    Viatcheslav Vladimirovich Meleshko (07.10.1951–14.11.2011)
    Russian Journal of Nonlinear Dynamics, 2012, vol. 8, no. 1, pp. 179-182
    Abstract          pdf  (1.73 Mb)
  • 186.

    Borisov A. V., Kilin A. A., Mamaev I. S.

    The dynamics of vortex rings: Leapfrogging, choreographies and the stability problem
    Russian Journal of Nonlinear Dynamics, 2012, vol. 8, no. 1, pp. 113-147
    Abstract          pdf  (1.03 Mb)
  • 187.

    Borisov A. V., Mamaev I. S.

    The dynamics of the Chaplygin ball with a fluid-filled cavity
    Russian Journal of Nonlinear Dynamics, 2012, vol. 8, no. 1, pp. 103-111
    Abstract          pdf  (305.43 Kb)
  • 188.

    Kozlov V. V.

    On invariant manifolds of nonholonomic systems
    Russian Journal of Nonlinear Dynamics, 2012, vol. 8, no. 1, pp. 57-69
    Abstract          pdf  (329.1 Kb)
  • 189.

    Pivovarova E. N., Ivanova T. B.

    Stability analysis of periodic solutions in the problem of the rolling of a ball with a pendulum
    Bulletin of Udmurt University. Mathematics. Mechanics. Computer Science, 2012, no. 4, pp. 146-155
    Abstract          pdf  (688.03 Kb)
  • 190.

    Ivanov A. P., Shuvalov N. D., Ivanova T. B.

    On detachment conditions of a top on an absolutely rough support
    Bulletin of Udmurt University. Mathematics. Mechanics. Computer Science, 2012, no. 3, pp. 103-113
    Abstract          pdf  (292.26 Kb)
  • 191.

    Kozlov V. V.

    On Gibbs distribution for quantum systems
    p-Adic Numbers, Ultrametric Analysis, and Applications, 2012, vol. 4, no. 1, pp. 76–83
    Abstract         
  • 192.

    Kozlov V. V., Buslaev A. P.

    Metropolis traffic modeling: from intelligent monitoring through physical representation to mathematical problems
    Proc. International Conference on Computational and Mathematical Methods in Science and Engineering, 2012, vol. 1, pp. 750–756
    Abstract         

2011

  • 193.

    Kozlov V. V.

    Wigner measures on infinite-dimensional spaces and the Bogolyubov equations for quantum systems
    Doklady Mathematics, 2011, vol. 84, no. 1, pp. 571–575
    Abstract         
  • 194.

    Kozlov V. V.

    Friction in the sense of Painlevé and Lagrangian mechanics
    Doklady Mathematics, 2011, vol. 56, no. 6, pp. 355–358
    Abstract         
  • 195.

    Kozlov V. V.

    On the dry-friction mechanism
    Doklady Mathematics, 2011, vol. 56, no. 4, pp. 256–257
    Abstract         
  • 196.

    Kozlov V. V.

    Problem of stability of two-link trajectories in a multidimensional Birkhoff billiard
    Proceedings of the Steklov Institute of Mathematics, 2011, vol. 273, pp. 196–213
    Abstract         
  • 197.

    Kozlov V. V.

    The equations of motion of a collisionless continuum
    Journal of Applied Mathematics and Mechanics, 2011, vol. 75, no. 6, pp. 619–630
    Abstract          pdf  (689.16 Kb)
  • 198.

    Borisov A. V., Meleshko V. V., Stremler M. A., van Heijst G. J.

    Hassan Aref (1950–2011)
    Regular and Chaotic Dynamics, 2011, vol. 16, no. 6, pp. 671-684
    Abstract          pdf  (777.79 Kb)
  • 199.

    Borisov A. V., Kilin A. A., Mamaev I. S.

    On the Model of Non-holonomic Billiard
    Regular and Chaotic Dynamics, 2011, vol. 16, no. 6, pp. 653-662
    Abstract          pdf  (199.9 Kb)
  • 200.

    Kozlov V. V.

    The Vlasov Kinetic Equation, Dynamics of Continuum and Turbulence
    Regular and Chaotic Dynamics, 2011, vol. 16, no. 6, pp. 602-622
    Abstract          pdf  (323.98 Kb)
  • 201.

    Borisov A. V., Meleshko V. V., Stremler M. A., van Heijst G. J.

    Hassan Aref (1950–2011)
    Regular and Chaotic Dynamics, 2011, vol. 16, no. 6, pp. 671-684
    Abstract          pdf  (777.79 Kb)
  • 202.

    Kozlov V. V.

    Statistical Irreversibility of the Kac Reversible Circular Model
    Regular and Chaotic Dynamics, 2011, vol. 16, no. 5, pp. 536-549
    Abstract          pdf  (202.6 Kb)
  • 203.

    Borisov A. V., Kilin A. A., Mamaev I. S.

    Rolling of a Homogeneous Ball over a Dynamically Asymmetric Sphere
    Regular and Chaotic Dynamics, 2011, vol. 16, no. 5, pp. 465-483
    Abstract          pdf  (643.15 Kb)
  • 204.

    Bolsinov A. V., Borisov A. V., Mamaev I. S.

    Hamiltonization of Nonholonomic Systems in the Neighborhood of Invariant Manifolds
    Regular and Chaotic Dynamics, 2011, vol. 16, no. 5, pp. 443-464
    Abstract          pdf  (425.83 Kb)
  • 205.

    Borisov A. V., Kilin A. A., Mamaev I. S.

    Hamiltonicity and integrability of the Suslov problem
    Regular and Chaotic Dynamics, 2011, vol. 16, no. 1-2, pp. 104-116
    Abstract          pdf  (239.81 Kb)
  • 206.

    Borisov A. V., Kilin A. A., Mamaev I. S.

    An omni-wheel vehicle on a plane and a sphere
    Russian Journal of Nonlinear Dynamics, 2011, vol. 7, no. 4, pp. 785-801
    Abstract          pdf  (726.7 Kb)
  • 207.

    Bolsinov A. V., Borisov A. V., Mamaev I. S.

    The bifurcation analysis and the Conley index in mechanics
    Russian Journal of Nonlinear Dynamics, 2011, vol. 7, no. 3, pp. 649-681
    Abstract          pdf  (782.35 Kb)
  • 208.

    Kozlov V. V.

    The Lorentz force and its generalizations
    Russian Journal of Nonlinear Dynamics, 2011, vol. 7, no. 3, pp. 627-634
    Abstract          pdf  (359.22 Kb)
  • 209.

    Kuleshov A. S., Treschev D. V., Ivanova T. B., Naymushina O. S.

    A rigid cylinder on a viscoelastic plane
    Russian Journal of Nonlinear Dynamics, 2011, vol. 7, no. 3, pp. 601-625
    Abstract          pdf  (499.7 Kb)
  • 210.

    Borisov A. V., Mamaev I. S.

    Two non-holonomic integrable systems of coupled rigid bodies
    Russian Journal of Nonlinear Dynamics, 2011, vol. 7, no. 3, pp. 559-568
    Abstract          pdf  (404.52 Kb)
  • 211.

    Borisov A. V., Gazizullina L., Mamaev I. S.

    On V.A. Steklov’s legacy in classical mechanics
    Russian Journal of Nonlinear Dynamics, 2011, vol. 7, no. 2, pp. 389-403
    Abstract          pdf  (368.21 Kb)
  • 212.

    Borisov A. V., Kilin A. A., Mamaev I. S.

    Generalized Chaplygin’s transformation and explicit integration of a system with a spherical support
    Russian Journal of Nonlinear Dynamics, 2011, vol. 7, no. 2, pp. 313-338
    Abstract          pdf  (1.78 Mb)
  • 213.

    Borisov A. V., Mamaev I. S., Vaskina A. V.

    Stability of new relative equilibria of the system of three point vortices in a circular domain
    Russian Journal of Nonlinear Dynamics, 2011, vol. 7, no. 1, pp. 119-138
    Abstract          pdf  (1.2 Mb)
  • 214.

    Kozlov V. V.

    Statistical irreversibility of the Kac reversible circular model
    Russian Journal of Nonlinear Dynamics, 2011, vol. 7, no. 1, pp. 101-117
    Abstract          pdf  (419.07 Kb)
  • 215.

    Vetchanin  E. V., Tenenev V. A.

    Motion control simulating in a viscous liquid of a body with variable geometry of weights
    Computer Research and Modeling, 2011, vol. 3, no. 4, pp. 371-381
    Abstract          pdf  (594.85 Kb)
  • 216.

    Bugaev A. S., Buslaev A. P., Kozlov V. V., Yashina M. V.

    Some mathematical and information aspects of traffic modeling
    T-Comm: Telecommunications and Transport, 2011, no. 4, pp. 29–31
    Abstract          pdf  (809.09 Kb)
  • 217.

    Bizyaev I. A., Ivanova T. B.

    Figures of equilibrium of liquid self-gravitating inhomogeneous mass
    Bulletin of Udmurt University. Mathematics. Mechanics. Computer Science, 2011, no. 3, pp. 142-153
    Abstract          pdf  (215.68 Kb)
  • 218.

    Kozlov V. V., Smolyanov O. G.

    Osnovaniya statisticheskoi mekhaniki i raboty Puankare, Erenfestov i fon Neimana
    in A. Puankare, T. and P. Erenfesty, Dzh. fon Neiman, Raboty po statisticheskoi mekhanike, Moscow–Izhevsk: Institute of Computer Science, 2011, 249–279 pp.
    Abstract         
  • 219.

    Kozlov V. V., Smolyanov O. G.

    Bogoliubov type equations via infinite-dimensional equations for measures
    Quantum bio-informatics IV, QP–PQ: Quantum Probability and White Noise Analysis, 2011, vol. 28, pp. 321–337
    Abstract         
  • 220.

    Bugaev A. S., Buslaev A. P., Kozlov V. V., Yashina M. V.

    Distributed problems of monitoring and modern approaches to traffic modeling
    2011 14th IEEE International IEEE Conference on Intelligent Transportation Systems (ITSC), 14th International IEEE Conference on Intelligent Transportation Systems-ITSC, 2011, pp. 477–481
    Abstract         

2010

  • 221.

    Borisov A. V., Mamaev I. S., Ramodanov S. M.

    Basic principles and models of dynamic advection
    Doklady Physics, 2010, vol. 432, no. 1, pp. 41–44
    Abstract          pdf  (178.99 Kb)
  • 222.

    Kozlov V. V., Smolyanov O. G.

    Infinite-dimensional Liouville equations with respect to measures
    Doklady Mathematics, 2010, vol. 81, no. 3, pp. 476–480
    Abstract          pdf  (335.38 Kb)
  • 223.

    Kozlov V. V.

    Variational principle for periodic orbits of invertible dynamical equations
    Doklady Mathematics, 2010, vol. 81, no. 1, pp. 139–141
    Abstract          pdf  (152.97 Kb)
  • 224.

    Kozlov V. V.

    On the variational principles of mechanics
    Journal of Applied Mathematics and Mechanics, 2010, vol. 74, no. 5, pp. 505–512
    Abstract         
  • 225.

    Kozlov V. V.

    Remarks on the degree of instability
    Journal of Applied Mathematics and Mechanics, 2010, vol. 74, no. 1, pp. 10–12
    Abstract          pdf  (242.92 Kb)
  • 226.

    Bolsinov A. V., Borisov A. V., Mamaev I. S.

    Topology and stability of integrable systems
    Russian Mathematical Surveys, 2010, vol. 65, no. 2, pp. 259–318
    Abstract          pdf  (1.12 Mb)
  • 227.

    Borisov A. V., Mamaev I. S., Ramodanov S. M.

    Coupled motion of a rigid body and point vortices on a two-dimensional spherical surface
    Regular and Chaotic Dynamics, 2010, vol. 15, no. 4-5, pp. 440-461
    Abstract          pdf  (298.75 Kb)
  • 228.

    Kozlov V. V.

    Note on dry friction and non-holonomic constraints
    Russian Journal of Nonlinear Dynamics, 2010, vol. 6, no. 4, pp. 903-906
    Abstract          pdf  (183.28 Kb)
  • 229.

    Borisov A. V.

    Reply to V.F. Zhuravlev
    Russian Journal of Nonlinear Dynamics, 2010, vol. 6, no. 4, pp. 897-901
    Abstract          pdf  (112.42 Kb)
  • 230.

    Borisov A. V., Mamaev I. S.

    Reply to A. T. Fomenko's comments
    Russian Journal of Nonlinear Dynamics, 2010, vol. 6, no. 4, pp. 893-895
    Abstract          pdf  (97.18 Kb)
  • 231.

    Borisov A. V., Kilin A. A., Mamaev I. S.

    Rolling of a homogeneous ball over a dynamically asymmetric sphere
    Russian Journal of Nonlinear Dynamics, 2010, vol. 6, no. 4, pp. 869-889
    Abstract          pdf  (486.45 Kb)
  • 232.

    Kozlov V. V.

    Lagrangian mechanics and dry friction
    Russian Journal of Nonlinear Dynamics, 2010, vol. 6, no. 4, pp. 855-868
    Abstract          pdf  (265.11 Kb)
  • 233.

    Bolsinov A. V., Borisov A. V., Mamaev I. S.

    Hamiltonisation of non-holonomic systems in the neighborhood of invariant manifolds
    Russian Journal of Nonlinear Dynamics, 2010, vol. 6, no. 4, pp. 829-854
    Abstract          pdf  (398.78 Kb)
  • 234.

    Borisov A. V., Mamaev I. S., Ivanova T. B.

    Stability of a liquid self-gravitating elliptic cylinder with intrinsic rotation
    Russian Journal of Nonlinear Dynamics, 2010, vol. 6, no. 4, pp. 807-822
    Abstract          pdf  (902.16 Kb)
  • 235.

    Borisov A. V., Mamaev I. S., Ramodanov S. M.

    Dynamic advection
    Russian Journal of Nonlinear Dynamics, 2010, vol. 6, no. 3, pp. 521-530
    Abstract          pdf  (10.3 Mb)
  • 236.

    Kozlov V. V.

    The Vlasov kinetic equation, dynamics of continuum and turbulence
    Russian Journal of Nonlinear Dynamics, 2010, vol. 6, no. 3, pp. 489-512
    Abstract          pdf  (276.41 Kb)
  • 237.

    Borisov A. V., Bolotin S. V., Kilin A. A., Mamaev I. S., Treschev D. V.

    Valery Vasilievich Kozlov. On his 60th birthday
    Russian Journal of Nonlinear Dynamics, 2010, vol. 6, no. 3, pp. 461-488
    Abstract          pdf  (25.39 Mb)
  • 238.

    Borisov A. V., Kilin A. A., Mamaev I. S.

    On the model of non-holonomic billiard
    Russian Journal of Nonlinear Dynamics, 2010, vol. 6, no. 2, pp. 373-385
    Abstract          pdf  (237.96 Kb)
  • 239.

    Vaskin V. V., Vaskina A. V., Mamaev I. S.

    Problems of stability and asymptotic behavior of vortex patches on the plane
    Russian Journal of Nonlinear Dynamics, 2010, vol. 6, no. 2, pp. 327-343
    Abstract          pdf  (685.19 Kb)
  • 240.

    Borisov A. V., Kilin A. A., Mamaev I. S.

    Hamiltonian representation and integrability of the Suslov problem
    Russian Journal of Nonlinear Dynamics, 2010, vol. 6, no. 1, pp. 127-142
    Abstract          pdf  (654.76 Kb)
  • 241.

    Ivanova T. B.

    Construction of bifurcation diagram and analysis of stability of self-gravitating fluid elliptical cylinder with internal flow
    Bulletin of Udmurt University. Mathematics. Mechanics. Computer Science, 2010, no. 4, pp. 77-86
    Abstract          pdf  (588.63 Kb)
  • 242.

    Borisov A. V., Lutsenko S. G., Mamaev I. S.

    Dynamics of a wheeled carriage on a plane
    Bulletin of Udmurt University. Mathematics. Mechanics. Computer Science, 2010, no. 4, pp. 39-48
    Abstract          pdf  (385.82 Kb)
  • 243.

    Borisov A. V., Mamaev I. S.

    Dynamics of liquid and gas ellipsoids
    Izhevsk: Regular and Chaotic Dynamics, 2010, 364 pp.
    Abstract          pdf  (3.89 Mb)
  • 244.

    Borisov A. V., Ivanov A. P.

    Thomson W., Tait P. Treatise on natural philosophy. P. I, II
    Izhevsk: Regular and Chaotic Dynamics, 2010, pp. 19-24
    Abstract          pdf  (87.32 Kb)
  • 245.

    Borisov A. V., Mamaev I. S., Tsiganov A. V.

    Lyapunov A.M. Works on theoretical mechanics. From the 1882-1894 handwritten heritage
    Izhevsk: Regular and Chaotic Dynamics, 2010, pp. 6-20
    Abstract          pdf  (174.49 Kb)

2009

  • 246.

    Kozlov V. V.

    On the stabilization of unstable equilibria by time-periodic gyroscopic forces
    Doklady Mathematics, 2009, vol. 54, no. 12, pp. 561–562
    Abstract         
  • 247.

    Kozlov V. V., Smolyanov O. G.

    The relativistic Poincaré model
    Doklady Mathematics, 2009, vol. 80, no. 2, pp. 769–774
    Abstract          pdf  (227.78 Kb)
  • 248.

    Kozlov V. V.

    Kelvin's instability theorem: Topological meaning and generalizations
    Doklady Mathematics, 2009, vol. 79, no. 1, pp. 25–28
    Abstract          pdf  (279.94 Kb)
  • 249.

    Borisov A. V., Mamaev I. S.

    The dynamics of a Chaplygin sleigh
    Journal of Applied Mathematics and Mechanics, 2009, vol. 73, no. 2, pp. 156-161
    Abstract          pdf  (263.77 Kb)
  • 250.

    Kozlov V. V.

    The Steklov Mathematical Institute has turned 75 years old
    Russian Mathematical Surveys, 2009, vol. 64, no. 4, pp. 757–768
    Abstract          pdf  (724.87 Kb)
  • 251.

    Kozlov V. V.

    On the mechanism of stability loss
    Differential Equations, 2009, vol. 45, no. 4, pp. 510–519
    Abstract          pdf  (316.78 Kb)
  • 252.

    Borisov A. V., Kilin A. A., Mamaev I. S.

    Superintegrable system on a sphere with the integral of higher degree
    Regular and Chaotic Dynamics, 2009, vol. 14, no. 6, pp. 615-620
    Abstract          pdf  (125.27 Kb)
  • 253.

    Kozlov V. V.

    Kinetics of collisionless gas: Equalization of temperature, growth of the coarse-grained entropy and the Gibbs paradox
    Regular and Chaotic Dynamics, 2009, vol. 14, no. 4-5, pp. 535-540
    Abstract          pdf  (172.17 Kb)
  • 254.

    Borisov A. V., Mamaev I. S.

    Isomorphisms of geodesic flows on quadrics
    Regular and Chaotic Dynamics, 2009, vol. 14, no. 4-5, pp. 455-465
    Abstract          pdf  (376.58 Kb)
  • 255.

    Borisov A. V., Mamaev I. S., Kilin A. A.

    The Hamiltonian Dynamics of Self-gravitating Liquid and Gas Ellipsoids
    Regular and Chaotic Dynamics, 2009, vol. 14, no. 2, pp. 179-217
    Abstract          pdf  (885.59 Kb)
  • 256.

    Borisov A. V., Kilin A. A., Mamaev I. S.

    Multiparticle Systems. The Algebra of Integrals and Integrable Cases
    Regular and Chaotic Dynamics, 2009, vol. 14, no. 1, pp. 18-41
    Abstract          pdf  (472.45 Kb)
  • 257.

    Borisov A. V., Kilin A. A., Mamaev I. S.

    New superintegrable system on a sphere
    Russian Journal of Nonlinear Dynamics, 2009, vol. 5, no. 4, pp. 455-462
    Abstract          pdf  (214.58 Kb)
  • 258.

    Vaskin V. V., Erdakova N. N., Mamaev I. S.

    Statistical mechanics of nonlinear dynamical systems
    Russian Journal of Nonlinear Dynamics, 2009, vol. 5, no. 3, pp. 385-402
    Abstract          pdf  (896.55 Kb)
  • 259.

    Kozlov V. V.

    Kinetics of collisionless gas: equalization of temperature, growth of the coarse-grained entropy and the Gibbs paradox
    Russian Journal of Nonlinear Dynamics, 2009, vol. 5, no. 3, pp. 377-383
    Abstract          pdf  (208.37 Kb)
  • 260.

    Borisov A. V., Mamaev I. S., Ramodanov S. M.

    Coupled motion of a rigid body and point vortices on a sphere
    Russian Journal of Nonlinear Dynamics, 2009, vol. 5, no. 3, pp. 319-343
    Abstract          pdf  (429.33 Kb)
  • 261.

    Borisov A. V., Mamaev I. S.

    Isomorphisms of geodesic flows on quadrics
    Russian Journal of Nonlinear Dynamics, 2009, vol. 5, no. 2, pp. 145-158
    Abstract          pdf  (532.83 Kb)
  • 262.

    Kilin A. A.

    The Jacobi problem on a plane
    Russian Journal of Nonlinear Dynamics, 2009, vol. 5, no. 1, pp. 83-86
    Abstract          pdf  (137.41 Kb)
  • 263.

    Borisov A. V., Kilin A. A., Mamaev I. S.

    Multiparticle Systems. The Algebra of Integrals and Integrable Cases
    Russian Journal of Nonlinear Dynamics, 2009, vol. 5, no. 1, pp. 53-82
    Abstract          pdf  (508.81 Kb)
  • 264.

    Ivanova T. B., Vaskin V. V.

    Generalized model of kinetics of formation of a new phase
    Bulletin of Udmurt University. Mathematics. Mechanics. Computer Science, 2009, no. 2, pp. 110-117
    Abstract          pdf  (724.17 Kb)
  • 265.

    Kozlov V. V., Furta S. D.

    Asymptotic expansions of solutions of strongly nonlinear systems of differential equations
    Moscow–Izhevsk: Regular and Chaotic Dynamics, Institute of Computer Science, 2009, 312 pp.
    Abstract          pdf  (2.14 Mb)
  • 266.

    Borisov A. V., Tsiganov A. V.

    The Clebsch System. Separation of Variables and Explicit Integration?
    Izhevsk: Regular and Chaotic Dynamics, 2009, 288 pp.
    Abstract          pdf  (1.68 Mb)

2008

  • 267.

    Borisov A. V., Mamaev I. S., Marikhin V. G.

    Explicit integration of one problem in nonholonomic mechanics
    Doklady Physics, 2008, vol. 53, no. 10, pp. 525-528
    Abstract          pdf  (229.05 Kb)
  • 268.

    Kozlov V. V.

    Gyroscopic stabilization of degenerate equilibria and the topology of real algebraic varieties
    Doklady Mathematics, 2008, vol. 77, no. 3, pp. 412–415
    Abstract          pdf  (178.12 Kb)
  • 269.

    Kozlov V. V.

    Novikov day at the Mathematical Institute
    Russian Mathematical Surveys, 2008, vol. 63, no. 6, pp. 995–997
    Abstract          pdf  (251.64 Kb)
  • 270.

    Kozlov V. V.

    The generalized Vlasov kinetic equation
    Russian Mathematical Surveys, 2008, vol. 63, no. 4, pp. 691–726
    Abstract          pdf  (719.96 Kb)
  • 271.

    Kozlov V. V.

    On the instability of equilibria of conservative systems under typical degenerations
    Differential Equations, 2008, vol. 44, no. 8, pp. 1064–1071
    Abstract          pdf  (285.36 Kb)
  • 272.

    Kozlov V. V.

    Topology of Real Algebraic Curves
    Functional Analysis and Its Applications, 2008, vol. 42, no. 2, pp. 98–102
    Abstract          pdf  (117.67 Kb)
  • 273.

    Borisov A. V., Fedorov Y. N., Mamaev I. S.

    Chaplygin ball over a fixed sphere: an explicit integration
    Regular and Chaotic Dynamics, 2008, vol. 13, no. 6, pp. 557-571
    Abstract          pdf  (282.96 Kb)
  • 274.

    Borisov A. V., Mamaev I. S.

    Conservation Laws, Hierarchy of Dynamics and Explicit Integration of Nonholonomic Systems
    Regular and Chaotic Dynamics, 2008, vol. 13, no. 5, pp. 443-490
    Abstract          pdf  (508.23 Kb)
  • 275.

    Kozlov V. V.

    Gauss Principle and Realization of Constraints
    Regular and Chaotic Dynamics, 2008, vol. 13, no. 5, pp. 431-434
    Abstract          pdf  (144.15 Kb)
  • 276.

    Borisov A. V., Kilin A. A., Mamaev I. S.

    Stability of Steady Rotations in the Nonholonomic Routh Problem
    Regular and Chaotic Dynamics, 2008, vol. 13, no. 4, pp. 239-249
    Abstract          pdf  (392.42 Kb)
  • 277.

    Borisov A. V., Kilin A. A., Mamaev I. S.

    Chaos in a Restricted Problem of Rotation of a Rigid Body with a Fixed Point
    Regular and Chaotic Dynamics, 2008, vol. 13, no. 3, pp. 221-233
    Abstract          pdf  (491.62 Kb)
  • 278.

    Borisov A. V., Kilin A. A., Mamaev I. S.

    Absolute and Relative Choreographies in Rigid Body Dynamics
    Regular and Chaotic Dynamics, 2008, vol. 13, no. 3, pp. 204-220
    Abstract          pdf  (447.19 Kb)
  • 279.

    Kozlov V. V.

    Gibbs Ensembles, Equidistribution of the Energy of Sympathetic Oscillators and Statistical Models of Thermostat
    Regular and Chaotic Dynamics, 2008, vol. 13, no. 3, pp. 141-154
    Abstract          pdf  (192.61 Kb)
  • 280.

    Kozlov V. V.

    Lagrange’s Identity and Its Generalizations
    Regular and Chaotic Dynamics, 2008, vol. 13, no. 2, pp. 71-80
    Abstract          pdf  (144.77 Kb)
  • 281.

    Borisov A. V., Gazizullina L., Ramodanov S. M.

    E. Zermelo Habilitationsschrift on the vortex hydrodynamics on a sphere
    Russian Journal of Nonlinear Dynamics, 2008, vol. 4, no. 4, pp. 497-513
    Abstract          pdf  (286.99 Kb)
  • 282.

    Borisov A. V., Mamaev I. S., Ramodanov S. M.

    Algebraic reduction of systems on two- and three-dimensional spheres
    Russian Journal of Nonlinear Dynamics, 2008, vol. 4, no. 4, pp. 407-416
    Abstract          pdf  (180.6 Kb)
  • 283.

    Borisov A. V., Mamaev I. S., Kilin A. A.

    Hamiltonian Dynamics of Liquid and Gas Self-Gravitating Ellipsoids
    Russian Journal of Nonlinear Dynamics, 2008, vol. 4, no. 4, pp. 363-406
    Abstract          pdf  (994.54 Kb)
  • 284.

    Kozlov V. V.

    Gauss Principle and Realization of Constraints
    Russian Journal of Nonlinear Dynamics, 2008, vol. 4, no. 3, pp. 281-285
    Abstract          pdf  (78.44 Kb)
  • 285.

    Borisov A. V., Mamaev I. S.

    Conservation Laws, Hierarchy of Dynamics and Explicit Integration of Nonholonomic Systems
    Russian Journal of Nonlinear Dynamics, 2008, vol. 4, no. 3, pp. 223-280
    Abstract          pdf  (634.39 Kb)
  • 286.

    Kozlov V. V.

    Lagrange’s identity and its generalizations
    Russian Journal of Nonlinear Dynamics, 2008, vol. 4, no. 2, pp. 157-168
    Abstract          pdf  (128.42 Kb)
  • 287.

    Kilin A. A.

    Generalization of Lagrange’s identity and new integrals of motion
    Bulletin of Udmurt University. Mathematics. Mechanics. Computer Science, 2008, no. 3, pp. 69-74
    Abstract          pdf  (154.14 Kb)
  • 288.

    Kozlov V. V.

    Gibbs ensembles and nonequilibrium statistical mechanics
    Moscow–Izhevsk: Regular and Chaotic Dynamics, 2008, 203 pp.
    Abstract          pdf  (2.38 Mb)
  • 289.

    Borisov A. V., Mamaev I. S.

    Dynamics of Two Rings of Vortices on a Sphere
    in IUTAM Symposium on Hamiltonian Dynamics, Vortex Structures, Turbulence, Springer, 2008, vol. 6, pp.  445–458
    Abstract          pdf  (7.9 Mb)
  • 290.

    Borisov A. V., Kilin A. A., Mamaev I. S.

    A New Integrable Problem of Motion of Point Vortices on the Sphere
    in IUTAM Symposium on Hamiltonian Dynamics, Vortex Structures, Turbulence, Springer, 2008, vol. 6, pp. 39–53
    Abstract          pdf  (10.34 Mb)
  • 291.

    Kozlov V. V.

    Several problems on dynamical systems and mechanics
    Nonlinearity, 2008, vol. 21, no. 9, pp. T149–T155
    Abstract          pdf  (79.46 Kb)

2007

  • 292.

    Kozlov V. V., Smolyanov O. G.

    Weak convergence of states in quantum statistical mechanics
    Doklady Mathematics, 2007, vol. 76, no. 3, pp. 958–961
    Abstract          pdf  (171.28 Kb)
  • 293.

    Kozlov V. V.

    Statistical properties of billiards in polytopes
    Doklady Mathematics, 2007, vol. 76, no. 2, pp. 696–699
    Abstract          pdf  (169.48 Kb)
  • 294.

    Kozlov V. V., Treschev D. V.

    Fine-grained and coarse-grained entropy in problems of statistical mechanics
    Theoretical and Mathematical Physics, 2007, vol. 151, no. 1, pp. 539–555
    Abstract          pdf  (502.32 Kb)
  • 295.

    Kozlov V. V.

    Euler and mathematical methods in mechanics (on the 300th anniversary of the birth of Leonhard Euler)
    Russian Mathematical Surveys, 2007, vol. 62, no. 4, pp. 639–661
    Abstract          pdf  (425.6 Kb)
  • 296.

    Borisov A. V., Mamaev I. S.

    Isomorphism and Hamilton representation of some nonholonomic systems
    Siberian Mathematical Journal, 2007, vol. 48, no. 1, pp. 26-36
    Abstract          pdf  (154.1 Kb)
  • 297.

    Borisov A. V., Kozlov V. V., Mamaev I. S.

    Asymptotic stability and associated problems of dynamics of falling rigid body
    Regular and Chaotic Dynamics, 2007, vol. 12, no. 5, pp. 531-565
    Abstract          pdf  (1.81 Mb)
  • 298.

    Borisov A. V., Mamaev I. S.

    Rolling of a Non-homogeneous Ball Over a Sphere Without Slipping and Twisting
    Regular and Chaotic Dynamics, 2007, vol. 12, no. 2, pp. 153-159
    Abstract          pdf  (189.47 Kb)
  • 299.

    Borisov A. V., Mamaev I. S.

    Interaction between Kirchhoff vortices and point vortices in an ideal fluid
    Regular and Chaotic Dynamics, 2007, vol. 12, no. 1, pp. 68-80
    Abstract          pdf  (358.32 Kb)
  • 300.

    Borisov A. V., Mamaev I. S., Ramodanov S. M.

    Motion of two spheres in ideal fluid. I. Equations o motions in the Euclidean space. First integrals and reduction
    Russian Journal of Nonlinear Dynamics, 2007, vol. 3, no. 4, pp. 411-422
    Abstract          pdf  (182.63 Kb)
  • 301.

    Borisov A. V., Kozlov V. V., Mamaev I. S.

    Asymptotic stability and associated problems of dynamics of falling rigid body
    Russian Journal of Nonlinear Dynamics, 2007, vol. 3, no. 3, pp. 255-296
    Abstract          pdf  (1.62 Mb)
  • 302.

    Borisov A. V., Kilin A. A., Mamaev I. S.

    A New Integrable Problem of Motion of Point Vortices on the Sphere
    Russian Journal of Nonlinear Dynamics, 2007, vol. 3, no. 2, pp. 211-223
    Abstract          pdf  (298.41 Kb)
  • 303.

    Kozlov V. V.

    Gibbs Ensembles, Equidistribution of the Energy of Sympathetic Oscillators and Statistical Models of Thermostat
    Russian Journal of Nonlinear Dynamics, 2007, vol. 3, no. 2, pp. 123-140
    Abstract          pdf  (263.66 Kb)
  • 304.

    Borisov A. V., Mamaev I. S.

    On isomorphisms of some integrable systems on a plane and a sphere
    Russian Journal of Nonlinear Dynamics, 2007, vol. 3, no. 1, pp. 49-56
    Abstract          pdf  (166.52 Kb)
  • 305.

    Borisov A. V., Mamaev I. S., Ramodanov S. M.

    Dynamic Interaction of Point Vortices and a Two-Dimensional Cylinder
    Journal of Mathematical Physics, 2007, vol. 48, no. 6, 065403, 9 pp.
    Abstract          pdf  (126.99 Kb)
  • 306.

    Borisov A. V., Mamaev I. S.

    Relations between Integrable Systems in Plane and Curved Spaces
    Celestial Mechanics and Dynamical Astronomy, 2007, vol. 99, no. 4, pp. 253–260
    Abstract          pdf  (151.07 Kb)
  • 307.

    Borisov A. V., Mamaev I. S., Ramodanov S. M.

    Dynamics of Two Interacting Circular Cylinders in Perfect Fluid
    Discrete and Continuous Dynamical Systems - Series A, 2007, vol. 19, no. 2, pp. 235-253
    Abstract          pdf  (350.69 Kb)

2006

  • 308.

    Kozlov V. V., Smolyanov O. G.

    Information entropy in problems of classical and quantum statistical mechanics
    Doklady Mathematics, 2006, vol. 74, no. 3, pp. 910–913
    Abstract          pdf  (199.38 Kb)
  • 309.

    Volovich I. V., Kozlov V. V.

    Square integrable solutions to the Klein-Gordon equation on a manifold
    Doklady Mathematics, 2006, vol. 73, no. 3, pp. 441–444
    Abstract          pdf  (292.17 Kb)
  • 310.

    Borisov A. V., Kilin A. A., Mamaev I. S.

    New effects in dynamics of rattlebacks
    Doklady Physics, 2006, vol. 408, no. 2, pp. 192-195
    Abstract          pdf  (214.19 Kb)
  • 311.

    Borisov A. V., Kilin A. A., Mamaev I. S.

    Transition to chaos in dynamics of four point vortices on a plane
    Doklady Physics, 2006, vol. 51, no. 5, pp. 262-267
    Abstract          pdf  (249.72 Kb)
  • 312.

    Borisov A. V., Mamaev I. S.

    Motion of Chaplygin ball on an inclined plane
    Doklady Physics, 2006, vol. 51, no. 2, pp. 73-76
    Abstract          pdf  (212.42 Kb)
  • 313.

    Borisov A. V., Mamaev I. S.

    An Integrable System with a Nonintegrable Constraint
    Mathematical Notes, 2006, vol. 80, no. 1, pp. 127-130
    Abstract          pdf  (98.56 Kb)
  • 314.

    Borisov A. V., Kilin A. A., Mamaev I. S.

    On a Nonholonomic Dynamical Problem
    Mathematical Notes, 2006, vol. 79, no. 5, pp. 734-740
    Abstract          pdf  (189.22 Kb)
  • 315.

    Kozlov V. V., Smolyanov O. G.

    Wigner function and diffusion in collisionfree media of quantum particles
    Theory of Probability and its Applications, 2006, vol. 51, no. 1, pp. 168–181
    Abstract          pdf  (952.66 Kb)
  • 316.

    Borisov A. V., Kozlov V. V., Mamaev I. S.

    On the fall of a heavy rigid body in an ideal fluid
    Proceedings of the Steklov Institute of Mathematics, 2006, vol. 12, no. 1, pp. S24-S47
    Abstract          pdf  (1.06 Mb)
  • 317.

    Borisov A. V., Mamaev I. S.

    On the problem of motion of vortex sources on a plane
    Regular and Chaotic Dynamics, 2006, vol. 11, no. 4, pp. 455-466
    Abstract          pdf  (377.53 Kb)
  • 318.

    Borisov A. V., Mamaev I. S.

    Rolling of a heterotgeneous ball over a sphere without sliding and spinning
    Russian Journal of Nonlinear Dynamics, 2006, vol. 2, no. 4, pp. 445-452
    Abstract          pdf  (162.92 Kb)
  • 319.

    Kozlov V. V.

    Vorticity equation of 2D-hydrodynamics, Vlasov steady-state kinetic equation and developed turbulence
    Russian Journal of Nonlinear Dynamics, 2006, vol. 2, no. 4, pp. 425-434
    Abstract          pdf  (152.1 Kb)
  • 320.

    Borisov A. V., Kilin A. A., Mamaev I. S.

    Stability of steady rotations in the non-holonomic Routh problem
    Russian Journal of Nonlinear Dynamics, 2006, vol. 2, no. 3, pp. 333-345
    Abstract          pdf  (398.23 Kb)
  • 321.

    Borisov A. V., Mamaev I. S.

    Reduction in the two-body problem on the Lobatchevsky plane
    Russian Journal of Nonlinear Dynamics, 2006, vol. 2, no. 3, pp. 279-285
    Abstract          pdf  (148.66 Kb)
  • 322.

    Borisov A. V., Mamaev I. S.

    Interaction between Kirchhoff vortices and point vortices in an ideal fluid
    Russian Journal of Nonlinear Dynamics, 2006, vol. 2, no. 2, pp. 199-213
    Abstract          pdf  (535.61 Kb)
  • 323.

    Kilin A. A.

    New integral in nonholonomic Painleve-Chaplygin problem
    Russian Journal of Nonlinear Dynamics, 2006, vol. 2, no. 2, pp. 193-198
    Abstract          pdf  (132.6 Kb)
  • 324.

    Borisov A. V., Mamaev I. S.

    Dynamics of two vortex rings on a sphere
    Russian Journal of Nonlinear Dynamics, 2006, vol. 2, no. 2, pp. 181-192
    Abstract          pdf  (321.21 Kb)
  • 325.

    Borisov A. V., Mamaev I. S.

    On the motion of a heavy rigid body in an ideal fluid with circulation
    Chaos, 2006, vol. 16, no. 1, 013118, 7 pp.
    Abstract          pdf  (303.93 Kb)
  • 326.

    Borisov A. V., Mamaev I. S.

    The restricted two-body problem in constant curvature spaces
    Celestial Mechanics and Dynamical Astronomy, 2006, vol. 96, no. 1, pp. 1-17
    Abstract          pdf  (479.18 Kb)
  • 327.

    Borisov A. V., Kozlov V. V., Mamaev I. S.

    Proceedings of the IUTAM Symposium on Hamiltonian Dynamics, Vortex Structures, Turbulence (Moscow August 25-30, 2006)
    Dordrecht Springer, 2006, 512 pp.
    Abstract          pdf  (10.44 Mb)
  • 328.

    Borisov A. V., Mamaev I. S.

    Classification of Birkhoff-Integrable generalized Toda lattices
    in "Topological Methods in the Theory of Integrable Systems", Cambridge: Cambridge Scientific Publishers Ltd., 2006, pp. 69-79
    Abstract          pdf  (560.25 Kb)
  • 329.

    Kozlov V. V., Volovich I. V.

    Finite action Klein–Gordon solutions on Lorentzian manifolds
    International Journal of Geometric Methods in Modern Physics, 2006, vol. 3, no. 7, pp. 1349–1357
    Abstract          pdf  (163.15 Kb)
  • 330.

    Arnold V. I., Kozlov V. V., Neishtadt A. I.

    Mathematical aspects of classical and celestial mechanics
    Dynamical systems. III, Encyclopaedia Math. Sci., 3, Ed. 3, Springer-Verlag, Berlin, 2006, xiv+518 pp.
    Abstract          pdf  (4.59 Mb)

2005

  • 331.

    Kozlov V. V.

    To the piston problem
    Doklady Mathematics, 2005, vol. 72, no. 1, pp. 634–637
    Abstract          pdf  (188.72 Kb)
  • 332.

    Kozlov V. V.

    Remarks on eigenvalues of real matrices
    Doklady Mathematics, 2005, vol. 72, no. 1, pp. 567–569
    Abstract          pdf  (186.42 Kb)
  • 333.

    Kozlov V. V.

    Topological obstructions to the existence of quantum conservation laws
    Doklady Mathematics, 2005, vol. 71, no. 2, pp. 300–302
    Abstract          pdf  (138.71 Kb)
  • 334.

    Borisov A. V., Kilin A. A., Mamaev I. S.

    Absolute and Relative Choreographies in the Problem of the Motion of Point Vortices in a Plane
    Doklady Physics, 2005, vol. 71, no. 1, pp. 139-144
    Abstract          pdf  (168.54 Kb)
  • 335.

    Kozlov V. V., Madsen T.

    Uniform distribution and Voronoi convergence
    Sbornik: Mathematics, 2005, vol. 196, no. 10, pp. 1495–1502
    Abstract          pdf  (127.63 Kb)
  • 336.

    Kozlov V. V.

    Weighted Means, Strict Ergodicity, and Uniform Distributions
    Mathematical Notes, 2005, vol. 78, no. 3, pp. 329–337
    Abstract          pdf  (155.58 Kb)
  • 337.

    Borisov A. V., Mamaev I. S.

    The Nonexistence of an Invariant Measure for an Inhomogeneous Ellipsoid Rolling on a Plane
    Mathematical Notes, 2005, vol. 77, no. 6, pp. 855-857
    Abstract          pdf  (74.38 Kb)
  • 338.

    Kozlov V. V., Polikarpov S. A.

    On periodic trajectories of a billiard in a magnetic field
    Journal of Applied Mathematics and Mechanics, 2005, vol. 69, no. 6, pp. 844–851
    Abstract          pdf  (384.03 Kb)
  • 339.

    Kozlov V. V.

    Weighted averages, uniform distribution, and strict ergodicity
    Russian Mathematical Surveys, 2005, vol. 60, no. 6, pp. 1121–1146
    Abstract          pdf  (293.33 Kb)
  • 340.

    Kozlov V. V.

    Remarks on a Lie theorem on the exact integrability of differential equations
    Differential Equations, 2005, vol. 41, no. 4, pp. 588–590
    Abstract          pdf  (85.01 Kb)
  • 341.

    Karapetyan A. A., Kozlov V. V.

    On the degree of stability
    Differential Equations, 2005, vol. 41, no. 2, pp. 195–201
    Abstract          pdf  (109.84 Kb)
  • 342.

    Kozlov V. V.

    Restrictions of Quadratic Forms to Lagrangian Planes, Quadratic Matrix Equations, and Gyroscopic Stabilization
    Functional Analysis and Its Applications, 2005, vol. 39, no. 4, pp. 271–283
    Abstract          pdf  (170.93 Kb)
  • 343.

    Borisov A. V., Mamaev I. S.

    Superintegrable systems on a sphere
    Regular and Chaotic Dynamics, 2005, vol. 10, no. 3, pp. 257-266
    Abstract          pdf  (312.81 Kb)
  • 344.

    Borisov A. V., Kilin A. A., Mamaev I. S.

    Reduction and chaotic behavior of point vortices on a plane and a sphere
    Russian Journal of Nonlinear Dynamics, 2005, vol. 1, no. 2, pp. 233-246
    Abstract          pdf  (473.55 Kb)
  • 345.

    Borisov A. V., Kilin A. A., Mamaev I. S.

    Chaos in a restricted problem of rotation of a rigid body with a fixed point
    Russian Journal of Nonlinear Dynamics, 2005, vol. 1, no. 2, pp. 191-207
    Abstract          pdf  (650.7 Kb)
  • 346.

    Borisov A. V., Kilin A. A., Mamaev I. S.

    Absolute and relative choreographies in rigid body dynamics
    Russian Journal of Nonlinear Dynamics, 2005, vol. 1, no. 1, pp. 123-141
    Abstract          pdf  (401.63 Kb)
  • 347.

    Borisov A. V., Mamaev I. S., Ramodanov S. M.

    Interaction of two circular cylinders in a perfect fluid
    Russian Journal of Nonlinear Dynamics, 2005, vol. 1, no. 1, pp. 3-21
    Abstract          pdf  (401.14 Kb)
  • 348.

    Borisov A. V., Mamaev I. S.

    Rigid body dynamics. Hamiltonian methods, integrability, chaos
    Moscow–Izhevsk: Institute of Computer Science, 2005, 576 pp.
    Abstract          pdf  (21.11 Mb)
  • 349.

    Borisov A. V., Mamaev I. S.

    Mathematical methods in the dynamics of vortex structures
    Moscow–Izhevsk: Institute of Computer Science, 2005, 368 pp.
    Abstract          pdf  (7.6 Mb)
  • 350.

    Borisov A. V., Mamaev I. S., Kilin A. A.

    Selected Problems on Nonholonomic Mechanics
    Moscow–Izhevsk: Institute of Computer Science, 2005, 290 pp.
    Abstract          pdf  (5.92 Mb)
  • 351.

    Borisov A. V., Mamaev I. S., Ramodanov S. M.

    Dynamics of a circular cylinder interacting with point vortices
    Discrete and Continuous Dynamical Systems - Series B, 2005, vol. 5, no. 1, pp. 35-50
    Abstract          pdf  (210.01 Kb)
  • 352.

    Borisov A. V., Mamaev I. S.

    Generalized problem of two and four Newtonian centers
    Celestial Mechanics and Dynamical Astronomy, 2005, vol. 92, no. 4, pp. 371-380
    Abstract          pdf  (291.25 Kb)
  • 353.

    Borisov A. V., Mamaev I. S.

    Hamiltonization of nonholonomic systems
    arXiv:nlin/0509036v1, 2005, 24 pp.
    Abstract          pdf  (321.8 Kb)
  • 354.

    Borisov A. V., Kilin A. A., Mamaev I. S.

    Reduction and chaotic behavior of point vortices on a plane and a sphere
    Discrete and Continuous Dynamical Systems - Series B (Supplement Volume devoted to the 5th AIMS International Conference on Dynamical Systems and Differential Equations (Pomona, California, USA, June 2004)), 2005, pp. 100-109
    Abstract          pdf  (360.5 Kb)
  • 355.

    Borisov A. V., Mamaev I. S., Kilin A. A.

    New periodic solutions for three or four identical vortices on a plane and a sphere
    Discrete and Continuous Dynamical Systems - Series B (Supplement Volume devoted to the 5th AIMS International Conference on Dynamical Systems and Differential Equations (Pomona, California, USA, June 2004)), 2005, pp. 110-120
    Abstract          pdf  (194.7 Kb)

2004

  • 356.

    Kozlov V. V., Treschev D. V.

    Conservation laws in quantum systems on a torus
    Doklady Mathematics, 2004, vol. 70, no. 2, pp. 807–810
    Abstract          pdf  (173.72 Kb)
  • 357.

    Kozlov V. V.

    Gibbs and Poincaré statistical equilibria in systems with slowly varying parameters
    Doklady Mathematics, 2004, vol. 69, no. 2, pp. 278–281
    Abstract          pdf  (182.91 Kb)
  • 358.

    Borisov A. V., Mamaev I. S.

    Necessary and Sufficient Conditions for the Polynomial Integrability of Generalized Toda Chains
    Doklady Physics, 2004, vol. 69, no. 1, pp. 131-135
    Abstract          pdf  (280.72 Kb)
  • 359.

    Kozlov V. V., Treschev D. V.

    Polynomial Conservation Laws in Quantum Systems
    Theoretical and Mathematical Physics, 2004, vol. 140, no. 3, pp. 1283–1298
    Abstract          pdf  (219.79 Kb)
  • 360.

    Borisov A. V., Mamaev I. S.

    Integrability of the Problem of the Motion of a Cylinder and a Vortex in an Ideal Fluid
    Mathematical Notes, 2004, vol. 75, no. 1, pp. 19-22
    Abstract          pdf  (79.87 Kb)
  • 361.

    Kozlov V. V.

    Dynamics of variable systems, and Lie groups
    Journal of Applied Mathematics and Mechanics, 2004, vol. 68, no. 6, pp. 803–808
    Abstract          pdf  (478.49 Kb)
  • 362.

    Kozlov V. V.

    Linear systems with a quadratic integral and the symplectic geometry of Artin spaces
    Journal of Applied Mathematics and Mechanics, 2004, vol. 68, no. 3, pp. 329–340
    Abstract          pdf  (648.21 Kb)
  • 363.

    Borisov A. V., Mamaev I. S., Kilin A. A.

    Two-body problem on a sphere. Reduction, stochasticity, periodic orbits
    Regular and Chaotic Dynamics, 2004, vol. 9, no. 3, pp. 265-279
    Abstract          pdf  (13.58 Mb)
  • 364.

    Borisov A. V., Mamaev I. S., Kilin A. A.

    Absolute and relative choreographies in the problem of point vortices moving on a plane
    Regular and Chaotic Dynamics, 2004, vol. 9, no. 2, pp. 101-111
    Abstract          pdf  (389.11 Kb)
  • 365.

    Kozlov V. V.

    Billiards, invariant measures, and equilibrium thermodynamics. II
    Regular and Chaotic Dynamics, 2004, vol. 9, no. 2, pp. 91-100
    Abstract          pdf  (283.7 Kb)
  • 366.

    Kozlov V. V.

    Notes on diffusion in collisionless medium
    Regular and Chaotic Dynamics, 2004, vol. 9, no. 1, pp. 29-34
    Abstract          pdf  (148.96 Kb)
  • 367.

    Kozlov V. V., Madsen T., Sorokin A. A.

    On weighted mean values of weakly dependent random variables
    Vestnik Moskov. Univ. Ser. I Mat. Mekh., 2004, vol. 59, no. 5, pp. 36–39
    Abstract          pdf  (288.46 Kb)
  • 368.

    Kozlov V. V.

    On a uniform distribution on a torus
    Vestnik Moskov. Univ. Ser. I Mat. Mekh., 2004, vol. 59, no. 2, pp. 23–31
    Abstract          pdf  (582.1 Kb)
  • 369.

    Borisov A. V., Mamaev I. S.

    Classical dynamics in non-Eucledian spaces
    Moscow–Izhevsk: Institute of Computer Science, 2004, 348 pp.
    Abstract          pdf  (3.5 Mb)

2003

  • 370.

    Kozlov V. V.

    The spectrum of a linear Hamiltonian system and symplectic geometry of a complex Artin space
    Doklady Mathematics, 2003, vol. 68, no. 3, pp. 385–387
    Abstract          pdf  (133.43 Kb)
  • 371.

    Kozlov V. V.

    Weak limits of probability distributions in systems with nonstationary perturbations
    Doklady Mathematics, 2003, vol. 67, no. 2, pp. 283–285
    Abstract          pdf  (148.42 Kb)
  • 372.

    Mamaev I. S.

    Two Integrable System on a Two-dimensional Sphere
    Doklady Physics, 2003, vol. 389, no. 3, pp. 
    Abstract          pdf  (160.12 Kb)
  • 373.

    Borisov A. V., Mamaev I. S.

    Strange Attractors in Rattleback Dynamics
    Physics-Uspekhi, 2003, vol. 46, no. 4, pp. 393-403
    Abstract          pdf  (484.78 Kb)
  • 374.

    Kozlov V. V., Treschev D. V.

    Evolution of Measures in the Phase Space of Nonlinear Hamiltonian Systems
    Theoretical and Mathematical Physics, 2003, vol. 136, no. 3, pp. 1325–1335
    Abstract          pdf  (168.45 Kb)
  • 375.

    Kozlov V. V., Treschev D. V.

    Weak Convergence of Solutions of the Liouville Equation for Nonlinear Hamiltonian Systems
    Theoretical and Mathematical Physics, 2003, vol. 134, no. 3, pp. 339–350
    Abstract          pdf  (168.45 Kb)
  • 376.

    Kozlov V. V., Madsen T.

    Poincaré Rotation Numbers and the Riesz and Voronoi Means
    Mathematical Notes, 2003, vol. 74, no. 2, pp. 299–301
    Abstract          pdf  (86.85 Kb)
  • 377.

    Kozlov V. V., Onishchenko D. A.

    The motion in a perfect fluid of a body containing a moving point mass
    Journal of Applied Mathematics and Mechanics, 2003, vol. 67, no. 4, pp. 553–564
    Abstract          pdf  (271.99 Kb)
  • 378.