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  • 2022
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2022

  • 1.

    Bizyaev I. A., Mamaev I. S.

    Bifurcation diagram and a qualitative analysis of particle motion in a Kerr metric
    Physical Review D, 2022, vol. 105, 063003, 28 pp.
    Abstract          pdf  (2.68 Mb)
  • 2.

    Artemova E. M., Vetchanin E. V.

    The Motion of an Unbalanced Circular Disk in the Field of a Point Source
    Regular and Chaotic Dynamics, 2022, vol. 27, no. 1, pp. 24-42
    Abstract          pdf  (1019.43 Kb)
  • 3.

    Kozlov V. V.

    On the Integrability of Circulatory Systems
    Regular and Chaotic Dynamics, 2022, vol. 27, no. 1, pp. 11-17
    Abstract          pdf  (378.07 Kb)
  • 4.

    Karavaev Y. L., Klekovkin A. V., Mamaev I. S., Tenenev V. A., Vetchanin E. V.

    A Simple Physical Model for Control of an Propellerless Aquatic Robot
    Journal of Mechanisms and Robotics, 2022, vol. 14, no. 1, 011007, 11 pp.
    Abstract          pdf  (981.69 Kb)
  • 5.

    Kilin A. A., Karavaev Y. L., Ivanova T. B.

    Rolling Resistance Model and Control of Spherical Robot
    Climbing and Walking Robots Conference: Robotics for Sustainable Future, CLAWAR 2021, 2022, pp. 396-407
    Abstract          pdf  (693.88 Kb)
  • 6.

    Kilin A. A., Karavaev Y. L., Yefremov K. S.

    Experimental Investigations of the Controlled Motion of the Roller Racer Robot
    Climbing and Walking Robots Conference: Robotics for Sustainable Future, CLAWAR 2021, 2022, pp. 428-437
    Abstract          pdf  (710.39 Kb)
  • 7.

    Ivanova T. B., Karavaev Y. L., Kilin A. A.

    Control of a pendulum-actuated spherical robot on a horizontal plane with rolling resistance
    Archive of Applied Mechanics, 2022, vol. 92, pp. 137–150
    Abstract          pdf  (618.92 Kb)
  • 8.

    Kilin A. A., Pivovarova E. N.

    Motion control of the spherical robot rolling on a vibrating plane
    Applied Mathematical Modelling, 2022, vol. 109, pp. 492-508
    Abstract          pdf  (1.26 Mb)

2021

  • 1.

    Bizyaev I. A., Mamaev I. S.

    Qualitative Analysis of the Dynamics of a Balanced Circular Foil and a Vortex
    Regular and Chaotic Dynamics, 2021, vol. 26, no. 6, pp. 658-674
    Abstract          pdf  (1.34 Mb)
  • 2.

    Kilin A. A., Pivovarova E. N.

    A Particular Integrable Case in the Nonautonomous Problem of a Chaplygin Sphere Rolling on a Vibrating Plane
    Regular and Chaotic Dynamics, 2021, vol. 26, no. 6, pp. 775-786
    Abstract          pdf  (679.77 Kb)
  • 3.

    Kozlov V. V.

    Integrals of Circulatory Systems Which are Quadratic in Momenta
    Regular and Chaotic Dynamics, 2021, vol. 26, no. 6, pp. 647-657
    Abstract          pdf  (374.52 Kb)
  • 4.

    Mamaev I. S., Kilin A. A., Karavaev Y. L., Shestakov V. A.

    Criteria of Motion Without Slipping for an Omnidirectional Mobile Robot
    Russian Journal of Nonlinear Dynamics, 2021, vol. 17, no. 4, pp. 527-546
    Abstract          pdf  (1.24 Mb)
  • 5.

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

    The Problem of Balancing an Inverted Spherical Pendulum on an Omniwheel Platform
    Russian Journal of Nonlinear Dynamics, 2021, vol. 17, no. 4, pp. 507-525
    Abstract          pdf  (501.49 Kb)
  • 6.

    Kilin A. A., Pivovarova E. N.

    Conservation laws for a spherical top on a plane with friction
    International Journal of Non-Linear Mechanics, 2021, vol. 129, 103666, 5 pp.
    Abstract          pdf  (353.6 Kb)
  • 7.

    Kilin A. A., Pivovarova E. N.

    The influence of the first integrals and the rolling resistance model on tippe top inversion
    Nonlinear Dynamics, 2021, vol. 103, no. 1, pp. 419-428
    Abstract          pdf  (494.9 Kb)
  • 8.

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

    Normal forms and averaging in an acceleration problem in nonholonomic mechanics
    Chaos, 2021, vol. 31, 013132, 16 pp.
    Abstract          pdf  (1.05 Mb)
  • 9.

    Mamaev I. S., Bizyaev I. A.

    Dynamics of an unbalanced circular foil and point vortices in an ideal fluid
    Physics of Fluids, 2021, vol. 33, 087119, 18 pp.
    Abstract          pdf  (2.36 Mb)
  • 10.

    Artemova E. M., Kilin A. A.

    Nonlinear stability of regular vortex polygons in a Bose – Einstein condensate
    Physics of Fluids, 2021, vol. 33, no. 12, 127105, 7 pp.
    Abstract          pdf  (610.67 Kb)
  • 11.

    Kilin A. A., Pivovarova E. N.

    Separatrix splitting in the problem of a spherical top rolling on a vertically vibrating plane
    2021 International Conference ''Nonlinearity, Information and Robotics'' – IEEE, 2021, pp. 1-7
    Abstract          pdf  (135.06 Kb)
  • 12.

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

    Influence of the design features of omni-wheeled mobile robots on the possibility of motion without slipping
    2021 International Conference ''Nonlinearity, Information and Robotics'' – IEEE, 2021, pp. 1-4
    Abstract          pdf  (187.28 Kb)
  • 13.

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

    Design and control for the underwater robot with internal rotor
    2021 International Conference ''Nonlinearity, Information and Robotics'' – IEEE, 2021, pp. 1-5
    Abstract          pdf  (139.59 Kb)
  • 14.

    Vetchanin E. V.

    Calculation of instability regions of the Liouville problem based on the harmonic balance method
    2021 International Conference ''Nonlinearity, Information and Robotics'' – IEEE, 2021, pp. 1-5
    Abstract          pdf  (117.07 Kb)
  • 15.

    Ardentov A. A., Yefremov K. S.

    Automatic reparking of the robot trailer along suboptimal paths
    2021 International Conference ''Nonlinearity, Information and Robotics'' – IEEE, 2021, pp. 1-5
    Abstract          pdf  (391.66 Kb)
  • 16.

    Artemova E. M., Kilin A. A.

    Dynamics of interacting two vortex $N$-gons in BECs
    2021 International Conference ''Nonlinearity, Information and Robotics'' – IEEE, 2021, pp. 1-4
    Abstract          pdf  (274.08 Kb)

2020

  • 1.

    Bizyaev I. A., Mamaev I. S.

    Separatrix splitting and nonintegrability in the nonholonomic rolling of a generalized Chaplygin sphere
    International Journal of Non-Linear Mechanics, 2020, vol. 126, 103550, 7 pp.
    Abstract          pdf  (2.22 Mb)
  • 2.

    Kilin A. A., Artemova E. M.

    Stability of regular vortex polygons in Bose–Einstein condensate
    Izvestiya Instituta Matematiki i Informatiki Udmurtskogo Gosudarstvennogo Universiteta, 2020, vol. 56, pp. 20-29
    Abstract          pdf  (185 Kb)
  • 3.

    Klekovkin A. V.

    Simulation of the motion of a propellerless mobile robot controlled by rotation of the internal rotor
    Bulletin of Udmurt University. Mathematics. Mechanics. Computer Science, 2020, vol. 30, no. 4, pp. 645-656
    Abstract          pdf  (210.33 Kb)
  • 4.

    Kilin A. A., Pivovarova E. N.

    Nonintegrability of the problem of a spherical top rolling on a vibrating plane
    Bulletin of Udmurt University. Mathematics. Mechanics. Computer Science, 2020, vol. 30, no. 4, pp. 628-644
    Abstract          pdf  (299.53 Kb)
  • 5.

    Bizyaev I. A., Mamaev I. S.

    Dynamics of a pair of point vortices and a foil with parametric excitation in an ideal fluid
    Bulletin of Udmurt University. Mathematics. Mechanics. Computer Science, 2020, vol. 30, no. 4, pp. 618-627
    Abstract          pdf  (553.19 Kb)
  • 6.

    Artemova E. M., Vetchanin E. V.

    Control of the motion of a circular cylinder in an ideal fluid using a source
    Bulletin of Udmurt University. Mathematics. Mechanics. Computer Science, 2020, vol. 30, no. 4, pp. 604-617
    Abstract          pdf  (356.62 Kb)
  • 7.

    Kilin A. A., Pivovarova E. N.

    Stability and Stabilization of Steady Rotations of a Spherical Robot on a Vibrating Base
    Regular and Chaotic Dynamics, 2020, vol. 25, no. 6, pp. 729-752
    Abstract          pdf  (1.62 Mb)
  • 8.

    Artemova E. M., Karavaev Y. L., Mamaev I. S., Vetchanin E. V.

    Dynamics of a Spherical Robot with Variable Moments of Inertia and a Displaced Center of Mass
    Regular and Chaotic Dynamics, 2020, vol. 25, no. 6, pp. 689-706
    Abstract          pdf  (950.79 Kb)
  • 9.

    Kozlov V. V.

    Nonequilibrium Statistical Mechanics of Weakly Ergodic Systems
    Regular and Chaotic Dynamics, 2020, vol. 25, no. 6, pp. 674-688
    Abstract          pdf  (431.27 Kb)
  • 10.

    Mamaev I. S., Vetchanin E. V.

    Dynamics of Rubber Chaplygin Sphere under Periodic Control
    Regular and Chaotic Dynamics, 2020, vol. 25, no. 2, pp. 215-236
    Abstract          pdf  (4.03 Mb)
  • 11.

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

    Circular orbits of a ball on a rotating conical turntable
    Acta Mechanica, 2020, vol. 231, no. 3, pp. 1021–1028
    Abstract          pdf  (323.69 Kb)
  • 12.

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

    Motion of a Smooth Foil in a Fluid under the Action of External Periodic Forces. II
    Russian Journal of Mathematical Physics, 2020, vol. 27, no. 1, pp. 1-17
    Abstract          pdf  (1.98 Mb)
  • 13.

    Hricko J., Havlík Š., Karavaev Y. L.

    Verifying the Performance Characteristics of the (micro) Robotic Devices
    Russian Journal of Nonlinear Dynamics, 2020, vol. 16, no. 1, pp. 161-172
    Abstract          pdf  (2.54 Mb)
  • 14.

    Bozek P., Karavaev Y. L., Ardentov A. A., Yefremov K. S.

    Neural network control of a wheeled mobile robot based on optimal trajectories
    International Journal of Advanced Robotic Systems, 2020, pp. 1-10
    Abstract          pdf  (911.75 Kb)
  • 15.

    Bizyaev I. A., Mamaev I. S.

    Dynamics of the nonholonomic Suslov problem under periodic control: unbounded speedup and strange attractors
    Journal of Physics A: Mathematical and Theoretical, 2020, vol. 53, 185701, 17 pp.
    Abstract          pdf  (1.24 Mb)
  • 16.

    Ivanova T. B.

    Non-holonomic rolling of a ball on the surface of a rotating cylinder
    ZAMM - Zeitschrift fur Angewandte Mathematik und Mechanik, 2020, vol. 100, no. 12, e202000067, 13 pp.
    Abstract          pdf  (476.51 Kb)
  • 17.

    Vetchanin E. V., Mamaev I. S.

    Asymptotic behavior in the dynamics of a smooth body in an ideal fluid
    Acta Mechanica, 2020, vol. 231, pp. 4529-4535
    Abstract          pdf  (519.06 Kb)
  • 18.

    Karavaev Y. L., Mamaev I. S., Kilin A. A., Pivovarova E. N.

    Spherical rolling robots: Different designs and control algorithms
    Robots in Human Life: Proceedings of the 23rd International Conference on Climbing and Walking Robots and the Support Technologies for Mobile Machines, CLAWAR 2020, 2020, pp. 195-202
    Abstract          pdf  (415.75 Kb)
  • 19.

    Klekovkin A. V., Mamaev I. S., Vetchanin E. V., Tenenev V. A., Karavaev Y. L.

    Propellerless aquatic robots
    Robots in Human Life: Proceedings of the 23rd International Conference on Climbing and Walking Robots and the Support Technologies for Mobile Machines, CLAWAR 2020, 2020, pp. 404-411
    Abstract          pdf  (633.84 Kb)
  • 20.

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

    Controlled motion of a highly maneuverable mobile robot along curvilinear trajectories
    2020 International Conference Nonlinearity, Information and Robotics – IEEE, 2020, pp. 1-4
    Abstract          pdf  (3.15 Mb)
  • 21.

    Karavaev Y. L., Kilin A. A., Klekovkin A. V., Pivovarova E. N.

    Stabilization of a spherical robot rolling on an oscillating underlying surface
    2020 International Conference Nonlinearity, Information and Robotics – IEEE, 2020, pp. 1-2
    Abstract          pdf  (1.09 Mb)
  • 22.

    Yefremov K. S., Ivanova T. B., Kilin A. A., Karavaev Y. L.

    Theoretical and experimental investigations of the controlled motion of the Roller Racer
    2020 International Conference Nonlinearity, Information and Robotics – IEEE, 2020, pp. 1-5
    Abstract          pdf  (408.24 Kb)
  • 23.

    Mamaev I. S., Vetchanin E. V.

    Dynamics of a spherical robot with periodically changing moments of inertia
    2020 International Conference Nonlinearity, Information and Robotics – IEEE, 2020, pp. 1-5
    Abstract          pdf  (310.64 Kb)
  • 24.

    Mamaev I. S., Bizyaev I. A.

    Dynamics of point vortices and a cylinder in an ideal fluid
    2020 International Conference Nonlinearity, Information and Robotics – IEEE, 2020, pp. 1-3
    Abstract          pdf  (241.98 Kb)
  • 25.

    Artemova E. M., Kilin A. A.

    An integrable case in the dynamics of a three-link vehicle
    2020 International Conference Nonlinearity, Information and Robotics – IEEE, 2020, pp. 1-6
    Abstract          pdf  (1.17 Mb)
  • 26.

    Vetchanin E. V.

    Stabilization of rotations of a rigid body with a fixed point by periodic perturbations
    2020 International Conference Nonlinearity, Information and Robotics – IEEE, 2020, pp. 1-5
    Abstract          pdf  (1.06 Mb)
  • 27.

    Klekovkin A. V., Karavaev Y. L., Mamaev I. S., Vetchanin E. V., Tenenev V. A.

    Experimental evaluation of simplified physical model for control of aquatic robot with internal rotor
    2020 International Conference Nonlinearity, Information and Robotics – IEEE, 2020, pp. 1-2
    Abstract          pdf  (330.17 Kb)
  • 28.

    Artemova E. M., Kilin A. A.

    Dynamics and control of a three-link wheeled vehicle
    2020 International Conference Nonlinearity, Information and Robotics – IEEE, 2020, pp. 1-2
    Abstract          pdf  (226.65 Kb)

2019

  • 1.

    Borisov A. V., Kilin A. A., Pivovarova E. N.

    Speedup of the Chaplygin Top by Means of Rotors
    Doklady Physics, 2019, vol. 64, no. 3, pp. 120-124
    Abstract          pdf  (486.65 Kb)
  • 2.

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

    Different Models of Rolling for a Robot Ball on a Plane as a Generalization of the Chaplygin Ball Problem
    Regular and Chaotic Dynamics, 2019, vol. 24, no. 5, pp. 560-582
    Abstract          pdf  (1.93 Mb)
  • 3.

    Ardentov A. A., Karavaev Y. L., Yefremov K. S.

    Euler Elasticas for Optimal Control of the Motion of Mobile Wheeled Robots: the Problem of Experimental Realization
    Regular and Chaotic Dynamics, 2019, vol. 24, no. 3, pp. 312-328
    Abstract          pdf  (2.58 Mb)
  • 4.

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

    A Parabolic Chaplygin Pendulum and a Paul Trap: Nonintegrability, Stability, and Boundedness
    Regular and Chaotic Dynamics, 2019, vol. 24, no. 3, pp. 329-352
    Abstract          pdf  (1.48 Mb)
  • 5.

    Kilin A. A., Pivovarova E. N.

    Qualitative Analysis of the Nonholonomic Rolling of a Rubber Wheel with Sharp Edges
    Regular and Chaotic Dynamics, 2019, vol. 24, no. 2, pp. 212-233
    Abstract          pdf  (883.49 Kb)
  • 6.

    Kilin A. A., Artemova E. M.

    Integrability and Chaos in Vortex Lattice Dynamics
    Regular and Chaotic Dynamics, 2019, vol. 24, no. 1, pp. 101-113
    Abstract          pdf  (1.61 Mb)
  • 7.

    Kozlov V. V.

    Isoperimetric Inequalities for Moments of Inertia and Stability of Stationary Motions of a Flexible Thread
    Russian Journal of Nonlinear Dynamics, 2019, vol. 15, no. 4, pp. 513-523
    Abstract          pdf  (252.39 Kb)
  • 8.

    Karavaev Y. L., Kilin A. A.

    The Dynamics of a Spherical Robot of Combined Type by Periodic Control Actions
    Russian Journal of Nonlinear Dynamics, 2019, vol. 15, no. 4, pp. 497-504
    Abstract          pdf  (528.42 Kb)
  • 9.

    Karavaev Y. L., Shestakov V. A., Yefremov K. S.

    Experimental Investigations of the Control Algorithm of a Mobile Manipulation Robot
    Russian Journal of Nonlinear Dynamics, 2019, vol. 15, no. 4, pp. 487-495
    Abstract          pdf  (1.23 Mb)
  • 10.

    Vetchanin E. V., Mikishanina E. A.

    Vibrational Stability of Periodic Solutions of the Liouville Equations
    Russian Journal of Nonlinear Dynamics, 2019, vol. 15, no. 3, pp. 351-363
    Abstract          pdf  (775.13 Kb)
  • 11.

    Ivanova T. B.

    The Rolling of a Homogeneous Ball with Slipping on a Horizontal Rotating Plane
    Russian Journal of Nonlinear Dynamics, 2019, vol. 15, no. 2, pp. 171-178
    Abstract          pdf  (443.65 Kb)
  • 12.

    Vetchanin E. V.

    The Motion of a Balanced Circular Cylinder in an Ideal Fluid Under the Action of External Periodic Force and Torque
    Russian Journal of Nonlinear Dynamics, 2019, vol. 15, no. 1, pp. 41-57
    Abstract          pdf  (408.7 Kb)
  • 13.

    Bizyaev I. A., Borisov A. V., Kuznetsov S. P.

    The Chaplygin sleigh with friction moving due to periodic oscillations of an internal mass
    Nonlinear Dynamics, 2019, vol. 95, no. 1, pp. 699-714
    Abstract          pdf  (2.97 Mb)
  • 14.

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

    Controlled Motion of a Spherical Robot with Feedback. II
    Journal of Dynamical and Control Systems, 2019, vol. 25, no. 1, pp. 1-16
    Abstract          pdf  (803.07 Kb)
  • 15.

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

    Stabilization of the motion of a spherical robot using feedbacks
    Applied Mathematical Modelling, 2019, vol. 69, pp. 583-592
    Abstract          pdf  (1005.01 Kb)
  • 16.

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

    Invariant Submanifolds of Genus 5 and a Cantor Staircase in the Nonholonomic Model of a Snakeboard
    International Journal of Bifurcation and Chaos, 2019, vol. 29, no. 3, 1930008, 19 pp.
    Abstract          pdf  (2.79 Mb)
  • 17.

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

    Fermi-like acceleration and power-law energy growth in nonholonomic systems
    Nonlinearity, 2019, vol. 32, pp. 3209-3233
    Abstract          pdf  (974.09 Kb)
  • 18.

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

    Nonholonomic rolling of a ball on the surface of a rotating cone
    Nonlinear Dynamics, 2019, vol. 97, no. 2, pp. 1635-1648
    Abstract          pdf  (1.04 Mb)
  • 19.

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

    Comment on “Confining rigid balls by mimicking quadrupole ion trapping” [Am. J. Phys. 85, 821 (2017)]
    American Journal of Physics, 2019, vol. 87, no. 11, pp. 935-938
    Abstract          pdf  (2.18 Mb)
  • 20.

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

    Dynamics of a Chaplygin sleigh with an unbalanced rotor: regular and chaotic motions
    Nonlinear Dynamics, 2019, vol. 98, pp. 2277-2291
    Abstract          pdf  (829 Kb)
  • 21.

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

    Motion of a Smooth Foil in a Fluid under the Action of External Periodic Forces. I
    Russian Journal of Mathematical Physics, 2019, vol. 26, no. 4, pp. 412-428
    Abstract          pdf  (963.73 Kb)

2018

  • 1.

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

    Control of the Rolling Motion of a Spherical Robot on an Inclined Plane
    Doklady Physics, 2018, vol. 63, no. 10, pp. 435-440
    Abstract          pdf  (509.36 Kb)
  • 2.

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

    Controlled Motion of a Spherical Robot of Pendulum Type on an Inclined Plane
    Doklady Physics, 2018, vol. 63, no. 7, pp. 302-306
    Abstract          pdf  (568.83 Kb)
  • 3.

    Borisov A. V., García-Naranjo L. C., Mamaev I. S., Montaldi J.

    Reduction and relative equilibria for the two-body problem on spaces of constant curvature
    Celestial Mechanics and Dynamical Astronomy, 2018, vol. 130, no. 6, pp. 1-36
    Abstract          pdf  (1.38 Mb)
  • 4.

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

    Self-propulsion of a Smooth Body in a Viscous Fluid Under Periodic Oscillations of a Rotor and Circulation
    Regular and Chaotic Dynamics, 2018, vol. 23, no. 7-8, pp. 850-874
    Abstract          pdf  (4.03 Mb)
  • 5.

    Mamaev I. S., Vetchanin E. V.

    The Self-propulsion of a Foil with a Sharp Edge in a Viscous Fluid Under the Action of a Periodically Oscillating Rotor
    Regular and Chaotic Dynamics, 2018, vol. 23, no. 7-8, pp. 875-886
    Abstract          pdf  (1.64 Mb)
  • 6.

    Kilin A. A., Pivovarova E. N.

    Integrable Nonsmooth Nonholonomic Dynamics of a Rubber Wheel with Sharp Edges
    Regular and Chaotic Dynamics, 2018, vol. 23, no. 7-8, pp. 887-907
    Abstract          pdf  (2.02 Mb)
  • 7.

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

    Exotic Dynamics of Nonholonomic Roller Racer with Periodic Control
    Regular and Chaotic Dynamics, 2018, vol. 23, no. 7-8, pp. 983-994
    Abstract          pdf  (1.99 Mb)
  • 8.

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

    An Invariant Measure and the Probability of a Fall in the Problem of an Inhomogeneous Disk Rolling on a Plane
    Regular and Chaotic Dynamics, 2018, vol. 23, no. 6, pp. 665-684
    Abstract          pdf  (662.06 Kb)
  • 9.

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

    Three Vortices in Spaces of Constant Curvature: Reduction, Poisson Geometry, and Stability
    Regular and Chaotic Dynamics, 2018, vol. 23, no. 5, pp. 613-636
    Abstract          pdf  (3.34 Mb)
  • 10.

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

    Dynamics of a Smooth Profile in a Medium with Friction in the Presence of Parametric Excitation
    Regular and Chaotic Dynamics, 2018, vol. 23, no. 4, pp. 480-502
    Abstract          pdf  (2.88 Mb)
  • 11.

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

    A Nonholonomic Model of the Paul Trap
    Regular and Chaotic Dynamics, 2018, vol. 23, no. 3, pp. 339-354
    Abstract          pdf  (6.87 Mb)
  • 12.

    Kozlov V. V.

    Linear Hamiltonian Systems: Quadratic Integrals, Singular Subspaces and Stability
    Regular and Chaotic Dynamics, 2018, vol. 23, no. 1, pp. 26-46
    Abstract          pdf  (693.23 Kb)
  • 13.

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

    Dynamics of a Body with a Sharp Edge in a Viscous Fluid
    Russian Journal of Nonlinear Dynamics, 2018, vol. 14, no. 4, pp. 473-494
    Abstract          pdf  (835.37 Kb)
  • 14.

    Vetchanin E. V., Gladkov E. S.

    Identification of parameters of the model of toroidal body motion using experimental data
    Russian Journal of Nonlinear Dynamics, 2018, vol. 14, no. 1, pp. 99-121
    Abstract          pdf  (1.49 Mb)
  • 15.

    Kilin A. A., Klenov A. I., Tenenev V. A.

    Controlling the movement of the body using internal masses in a viscous liquid
    Computer Research and Modeling, 2018, vol. 10, no. 4, pp. 445-460
    Abstract          pdf  (523.34 Kb)
  • 16.

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

    Controlled Motion of a Spherical Robot with Feedback. I
    Journal of Dynamical and Control Systems, 2018, vol. 24, no. 3, pp. 497-510
    Abstract          pdf  (606.17 Kb)
  • 17.

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

    Theoretical and experimental investigations of the rolling of a ball on a rotating plane (turntable)
    European Journal of Physics, 2018, vol. 39, no. 6, 065001, 13 pp.
    Abstract          pdf  (510.14 Kb)
  • 18.

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

    Dynamics of the Chaplygin ball on a rotating plane
    Russian Journal of Mathematical Physics, 2018, vol. 25, no. 4, pp. 423-433
    Abstract          pdf  (872.8 Kb)
  • 19.

    Kilin A. A., Pivovarova E. N.

    Chaplygin Top with a Periodic Gyrostatic Moment
    Russian Journal of Mathematical Physics, 2018, vol. 25, no. 4, pp. 509-524
    Abstract          pdf  (1.14 Mb)

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.

    Retrograde motion of a rolling disk
    Physics-Uspekhi, 2017, vol. 60, no. 9, pp. 931-934
    Abstract          pdf  (364.25 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 non-integrable constraints, vakonomic mechanics, sub-Riemannian geometry, and non-holonomic mechanics
    Russian Mathematical Surveys, 2017, vol. 72, no. 5, pp. 783-840
    Abstract          pdf  (1.09 Mb)
  • 5.

    Bizyaev I. A.

    A Chaplygin sleigh with a moving point mass
    Bulletin of Udmurt University. Mathematics. Mechanics. Computer Science, 2017, vol. 27, no. 4, pp. 583-589
    Abstract          pdf  (314.6 Kb)
  • 6.

    Bizyaev I. A.

    Invariant measure in the problem of a disk rolling on a plane
    Bulletin of Udmurt University. Mathematics. Mechanics. Computer Science, 2017, vol. 27, no. 4, pp. 576-582
    Abstract          pdf  (312.38 Kb)
  • 7.

    Vetchanin E. V., Mamaev I. S.

    Dynamics of Two Point Vortices in an External Compressible Shear Flow
    Regular and Chaotic Dynamics, 2017, vol. 22, no. 8, pp. 893–908
    Abstract          pdf  (3.4 Mb)
  • 8.

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

    The Chaplygin Sleigh with Parametric Excitation: Chaotic Dynamics and Nonholonomic Acceleration
    Regular and Chaotic Dynamics, 2017, vol. 22, no. 8, pp. 955–975
    Abstract          pdf  (1.91 Mb)
  • 9.

    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)
  • 10.

    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)
  • 11.

    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)
  • 12.

    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)
  • 13.

    Borisov A. V., Mamaev I. S.

    An inhomogeneous Chaplygin sleigh
    Russian Journal of Nonlinear Dynamics, 2017, vol. 13, no. 4, pp. 625–639
    Abstract          pdf  (518.79 Kb)
  • 14.

    Pivovarova E. N.

    Stability analysis of steady motions of a spherical robot of combined type
    Russian Journal of Nonlinear Dynamics, 2017, vol. 13, no. 4, pp. 611–623
    Abstract          pdf  (1.75 Mb)
  • 15.

    Pivovarova E. N.

    Stability analysis of steady motions of a spherical robot of combined type
    Russian Journal of Nonlinear Dynamics, 2017, vol. 13, no. 4, pp. 611–623
    Abstract          pdf  (1.76 Mb)
  • 16.

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

    The dynamical model of the rolling friction of spherical bodies on a plane without slipping
    Russian Journal of Nonlinear Dynamics, 2017, vol. 13, no. 4, pp. 599–609
    Abstract          pdf  (3.54 Mb)
  • 17.

    Vetchanin E. V., Klenov A. I.

    Experimental investigation of the fall of helical bodies in a fluid
    Russian Journal of Nonlinear Dynamics, 2017, vol. 13, no. 4, pp. 585–598
    Abstract          pdf  (853.58 Kb)
  • 18.

    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)
  • 19.

    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)
  • 20.

    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)
  • 21.

    Vetchanin E. V., Tenenev V. A., Kilin A. A.

    Optimal control of the motion in an ideal fluid of a screw-shaped body with internal rotors
    Computer Research and Modeling, 2017, vol. 9, no. 5, pp. 741-759
    Abstract          pdf  (567.52 Kb)
  • 22.

    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)
  • 23.

    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)
  • 24.

    Bizyaev I. A., Borisov A. V., Kuznetsov S. P.

    Chaplygin sleigh with periodically oscillating internal mass
    EPL, 2017, vol. 119, no. 6, 60008, 7 pp.
    Abstract          pdf  (854.88 Kb)
  • 25.

    Kilin A. A., Bozek P., Karavaev Y. L., Klekovkin A. V., Shestakov V. A.

    Experimental investigations of a highly maneuverable mobile omniwheel robot
    International Journal of Advanced Robotic Systems, 2017, vol. 14, no. 6, pp. 1-9
    Abstract          pdf  (654.85 Kb)

2016

  • 1.

    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  (413.7 Kb)
  • 2.

    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)
  • 3.

    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)
  • 4.

    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)
  • 5.

    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)
  • 6.

    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)
  • 7.

    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)
  • 8.

    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)
  • 9.

    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)
  • 10.

    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)
  • 11.

    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)
  • 12.

    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)
  • 13.

    Kozlov V. V.

    On the Extendability of Noether’s Integrals for Orbifolds of Constant Negative Curvature
    Regular and Chaotic Dynamics, 2016, vol. 21, no. 7-8, pp. 821-831
    Abstract          pdf  (630.35 Kb)
  • 14.

    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)
  • 15.

    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)
  • 16.

    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)
  • 17.

    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)
  • 18.

    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)
  • 19.

    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)
  • 20.

    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)
  • 21.

    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)
  • 22.

    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)
  • 23.

    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)
  • 24.

    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)
  • 25.

    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)
  • 26.

    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)
  • 27.

    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)
  • 28.

    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)
  • 29.

    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)

2015

  • 1.

    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)
  • 2.

    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)
  • 3.

    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)
  • 4.

    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)
  • 5.

    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)
  • 6.

    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)
  • 7.

    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)
  • 8.

    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)
  • 9.

    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)
  • 10.

    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)
  • 11.

    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)
  • 12.

    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)
  • 13.

    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)
  • 14.

    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)
  • 15.

    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)
  • 16.

    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)
  • 17.

    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)
  • 18.

    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)
  • 19.

    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)
  • 20.

    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)
  • 21.

    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)
  • 22.

    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)
  • 23.

    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)
  • 24.

    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)
  • 25.

    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)
  • 26.

    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)
  • 27.

    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)
  • 28.

    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)
  • 29.

    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)
  • 30.

    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)
  • 31.

    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)
  • 32.

    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)
  • 33.

    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)
  • 34.

    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)
  • 35.

    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)

2014

  • 1.

    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)
  • 2.

    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)
  • 3.

    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)
  • 4.

    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)
  • 5.

    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)
  • 6.

    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)
  • 7.

    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)
  • 8.

    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)
  • 9.

    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)
  • 10.

    Kozlov V. V.

    Remarks on Integrable Systems
    Regular and Chaotic Dynamics, 2014, vol. 19, no. 2, pp. 145-161
    Abstract          pdf  (186.79 Kb)
  • 11.

    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)
  • 12.

    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)
  • 13.

    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)
  • 14.

    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)
  • 15.

    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)
  • 16.

    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)
  • 17.

    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)
  • 18.

    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)
  • 19.

    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)
  • 20.

    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)
  • 21.

    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)
  • 22.

    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)
  • 23.

    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)
  • 24.

    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)
  • 25.

    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)

2013

  • 1.

    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)
  • 2.

    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)
  • 3.

    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)
  • 4.

    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)
  • 5.

    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)
  • 6.

    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)
  • 7.

    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)
  • 8.

    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)
  • 9.

    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)
  • 10.

    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)
  • 11.

    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)
  • 12.

    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)
  • 13.

    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)
  • 14.

    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)
  • 15.

    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)
  • 16.

    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)
  • 17.

    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)
  • 18.

    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)
  • 19.

    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)
  • 20.

    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)
  • 21.

    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)
  • 22.

    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)
  • 23.

    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)
  • 24.

    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)
  • 25.

    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)

2012

  • 1.

    Kozlov V. V.

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

    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)
  • 3.

    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         
  • 4.

    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)
  • 5.

    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)
  • 6.

    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)
  • 7.

    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)
  • 8.

    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)
  • 9.

    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)
  • 10.

    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)
  • 11.

    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)
  • 12.

    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)
  • 13.

    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)
  • 14.

    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)
  • 15.

    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)
  • 16.

    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)
  • 17.

    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)
  • 18.

    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)
  • 19.

    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)
  • 20.

    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)
  • 21.

    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)
  • 22.

    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)
  • 23.

    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)

2011

  • 1.

    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         
  • 2.

    Kozlov V. V.

    Friction in the sense of Painlevé and Lagrangian mechanics
    Doklady Mathematics, 2011, vol. 56, no. 6, pp. 355–358
    Abstract         
  • 3.

    Kozlov V. V.

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

    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         
  • 5.

    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)
  • 6.

    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)
  • 7.

    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)
  • 8.

    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)
  • 9.

    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)
  • 10.

    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)
  • 11.

    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)
  • 12.

    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)
  • 13.

    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)
  • 14.

    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)
  • 15.

    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)
  • 16.

    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)
  • 17.

    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)
  • 18.

    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)
  • 19.

    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)
  • 20.

    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)
  • 21.

    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)
  • 22.

    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)

2010

  • 1.

    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)
  • 2.

    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)
  • 3.

    Kozlov V. V.

    On the variational principles of mechanics
    Journal of Applied Mathematics and Mechanics, 2010, vol. 74, no. 5, pp. 505–512
    Abstract         
  • 4.

    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)
  • 5.

    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)
  • 6.

    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)
  • 7.

    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)
  • 8.

    Borisov A. V., Mamaev I. S.

    Reply to A. T. Fomenko's comments
    Russian Journal of Nonlinear Dynamics, 2010, vol. 6, no. 4,