Publications
Number of publications – 0
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2021
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1.Normal forms and averaging in an acceleration problem in nonholonomic mechanics
Chaos, 2021, vol. 31, 013132,28 pp.
Abstract pdf (2.1 Mb)
2020
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2.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.
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3.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
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4.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) -
5.Dynamics of Rubber Chaplygin Sphere under Periodic Control
Regular and Chaotic Dynamics, 2020, vol. 25, no. 2,pp. 215-236
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6.Circular orbits of a ball on a rotating conical turntable
Acta Mechanica, 2020, vol. 231, no. 3,pp. 1021–1028
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7.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
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8.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.
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9.Asymptotic behavior in the dynamics of a smooth body in an ideal fluid
Acta Mechanica, 2020, vol. 231,pp. 4529-4535
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10.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
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11.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
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12.Controlled motion of a highly maneuverable mobile robot along curvilinear trajectories
2020 International Conference Nonlinearity, Information and Robotics – IEEE, 2020,pp. 1-4
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13.Dynamics of a spherical robot with periodically changing moments of inertia
2020 International Conference Nonlinearity, Information and Robotics – IEEE, 2020,pp. 1-5
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14.Dynamics of point vortices and a cylinder in an ideal fluid
2020 International Conference Nonlinearity, Information and Robotics – IEEE, 2020,pp. 1-3
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15.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)
2019
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16.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
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17.A Parabolic Chaplygin Pendulum and a Paul Trap: Nonintegrability, Stability, and Boundedness
Regular and Chaotic Dynamics, 2019, vol. 24, no. 3,pp. 329-352
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18.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.
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19.Fermi-like acceleration and power-law energy growth in nonholonomic systems
Nonlinearity, 2019, vol. 32,pp. 3209-3233
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20.Nonholonomic rolling of a ball on the surface of a rotating cone
Nonlinear Dynamics, 2019, vol. 97, no. 2,pp. 1635-1648
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21.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
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22.Dynamics of a Chaplygin sleigh with an unbalanced rotor: regular and chaotic motions
Nonlinear Dynamics, 2019, vol. 98,pp. 2277-2291
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23.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
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24.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) -
25.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
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26.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
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27.Exotic Dynamics of Nonholonomic Roller Racer with Periodic Control
Regular and Chaotic Dynamics, 2018, vol. 23, no. 7-8,pp. 983-994
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28.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
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29.Three Vortices in Spaces of Constant Curvature: Reduction, Poisson Geometry, and Stability
Regular and Chaotic Dynamics, 2018, vol. 23, no. 5,pp. 613-636
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30.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
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31.A Nonholonomic Model of the Paul Trap
Regular and Chaotic Dynamics, 2018, vol. 23, no. 3,pp. 339-354
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32.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
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33.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.
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34.Dynamics of the Chaplygin ball on a rotating plane
Russian Journal of Mathematical Physics, 2018, vol. 25, no. 4,pp. 423-433
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35.Rigid Body Dynamics
Ser. De Gruyter Studies in Mathematical Physics, Vol. 52, Berlin/Boston: Higher Education Press and de Gruyter GmbH, 2018,526 pp.
Abstract
2017
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36.Hamilton’s Principle and the Rolling Motion of a Symmetric Ball
Doklady Physics, 2017, vol. 62, no. 6,pp. 314-317
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37.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
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38.Dynamics of Two Point Vortices in an External Compressible Shear Flow
Regular and Chaotic Dynamics, 2017, vol. 22, no. 8,pp. 893–908
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39.The Chaplygin Sleigh with Parametric Excitation: Chaotic Dynamics and Nonholonomic Acceleration
Regular and Chaotic Dynamics, 2017, vol. 22, no. 8,pp. 955–975
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40.An Inhomogeneous Chaplygin Sleigh
Regular and Chaotic Dynamics, 2017, vol. 22, no. 4,pp. 435-447
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41.The Hess–Appelrot Case and Quantization of the Rotation Number
Regular and Chaotic Dynamics, 2017, vol. 22, no. 2,pp. 180-196
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42.An inhomogeneous Chaplygin sleigh
Russian Journal of Nonlinear Dynamics, 2017, vol. 13, no. 4,pp. 625–639
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43.The Hess–Appelrot case and quantization of the rotation number
Russian Journal of Nonlinear Dynamics, 2017, vol. 13, no. 3,pp. 433-452
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44.Integrability and nonintegrability of sub-Riemannian geodesic flows on Carnot groups
Russian Journal of Nonlinear Dynamics, 2017, vol. 13, no. 1,pp. 129-146
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45.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
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46.Generalizations of the Kovalevskaya Case and Quaternions
Proceedings of the Steklov Institute of Mathematics, 2016, vol. 295,pp. 33-44
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47.The Hess–Appelrot system and its nonholonomic analogs
Proceedings of the Steklov Institute of Mathematics, 2016, vol. 294,pp. 268-292
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48.Dynamics of a Painlevé-Appel system
Journal of Applied Mathematics and Mechanics, 2016, vol. 80, no. 1,pp. 7-15
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49.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
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50.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
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51.Integrability and Nonintegrability of Sub-Riemannian Geodesic Flows on Carnot Groups
Regular and Chaotic Dynamics, 2016, vol. 21, no. 6,pp. 759-774
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52.The Spatial Problem of 2 Bodies on a Sphere. Reduction and Stochasticity
Regular and Chaotic Dynamics, 2016, vol. 21, no. 5,pp. 556-580
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53.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
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54.The Dynamics of Vortex Sources in a Deformation Flow
Regular and Chaotic Dynamics, 2016, vol. 21, no. 3,pp. 367-376
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55.Adiabatic Invariants, Diffusion and Acceleration in Rigid Body Dynamics
Regular and Chaotic Dynamics, 2016, vol. 21, no. 2,pp. 232-248
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56.Dynamics of the Chaplygin Sleigh on a Cylinder
Regular and Chaotic Dynamics, 2016, vol. 21, no. 1,pp. 136-146
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57.Dynamics of the Chaplygin sleigh on a cylinder
Russian Journal of Nonlinear Dynamics, 2016, vol. 12, no. 4,pp. 675–687
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58.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
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59.On the Hadamard–Hamel problem and the dynamics of wheeled vehicles
Russian Journal of Nonlinear Dynamics, 2016, vol. 12, no. 1,pp. 145-163
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60.The Hojman Construction and Hamiltonization of Nonholonomic Systems
Symmetry, Integrability and Geometry: Methods and Applications, 2016, vol. 12, 012,19 pp.
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61.Rigid Body Dynamics in Non-Euclidean Spaces
Russian Journal of Mathematical Physics, 2016, vol. 23, no. 4,pp. 431-454
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62.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
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2015
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63.A New Integrable System of Nonholonomic Mechanics
Doklady Physics, 2015, vol. 60, no. 6,pp. 269-271
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64.Notes on new friction models and nonholonomic mechanics
Physics-Uspekhi, 2015, vol. 58, no. 12,pp. 1220-1222
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65.Figures of equilibrium of an inhomogeneous self-gravitating fluid
Celestial Mechanics and Dynamical Astronomy, 2015, vol. 122, no. 1,pp. 1-26
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66.On the loss of contact of the Euler disk
Nonlinear Dynamics, 2015, vol. 79, no. 4,pp. 2287-2294
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67.Equations of motion of non-holonomic systems
Russian Mathematical Surveys, 2015, vol. 70, no. 6,pp. 1167-1169
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68.Qualitative Analysis of the Dynamics of a Wheeled Vehicle
Regular and Chaotic Dynamics, 2015, vol. 20, no. 6,pp. 739-751
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69.On the Hadamard – Hamel Problem and the Dynamics of Wheeled Vehicles
Regular and Chaotic Dynamics, 2015, vol. 20, no. 6,pp. 752-766
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70.Symmetries and Reduction in Nonholonomic Mechanics
Regular and Chaotic Dynamics, 2015, vol. 20, no. 5,pp. 553-604
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71.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
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72.The Jacobi Integral in Nonholonomic Mechanics
Regular and Chaotic Dynamics, 2015, vol. 20, no. 3,pp. 383-400
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73.Dynamics and Control of an Omniwheel Vehicle
Regular and Chaotic Dynamics, 2015, vol. 20, no. 2,pp. 153-172
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74.Symmetries and Reduction in Nonholonomic Mechanics
Russian Journal of Nonlinear Dynamics, 2015, vol. 11, no. 4,pp. 763–823
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75.Topology and Bifurcations in Nonholonomic Mechanics
Russian Journal of Nonlinear Dynamics, 2015, vol. 11, no. 4,pp. 735–762
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76.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
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77.The Jacobi Integral in NonholonomicMechanics
Russian Journal of Nonlinear Dynamics, 2015, vol. 11, no. 2,pp. 377-396
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78.Geometrisation of Chaplygin's reducing multiplier theorem
Nonlinearity, 2015, vol. 28, no. 7,pp. 2307–2318
Abstract pdf (156.41 Kb) -
79.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) -
80.Hamiltonization of Elementary Nonholonomic Systems
Russian Journal of Mathematical Physics, 2015, vol. 22, no. 4,pp. 444-453
Abstract pdf (115.49 Kb)
2014
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81.On the Nonlinear Poisson Bracket Arising in Nonholonomic Mechanics
Mathematical Notes, 2014, vol. 95, no. 3,pp. 308-315
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82.Non-holonomic dynamics and Poisson geometry
Russian Mathematical Surveys, 2014, vol. 69, no. 3,pp. 481-538
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83.On the dynamics of point vortices in an annular region
Fluid Dynamics Research, 2014, vol. 46, no. 3, 031420,7 pp.
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84.The Dynamics of Three Vortex Sources
Regular and Chaotic Dynamics, 2014, vol. 19, no. 6,pp. 694-701
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85.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
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86.Superintegrable Generalizations of the Kepler and Hook Problems
Regular and Chaotic Dynamics, 2014, vol. 19, no. 3,pp. 415-434
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87.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
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88.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
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89.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
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90.Invariant Measure and Hamiltonization of Nonholonomic Systems
Russian Journal of Nonlinear Dynamics, 2014, vol. 10, no. 3,pp. 355-359
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91.The dynamics of three vortex sources
Russian Journal of Nonlinear Dynamics, 2014, vol. 10, no. 3,pp. 319-327
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92.Figures of equilibrium of an inhomogeneous self-gravitating fluid
Russian Journal of Nonlinear Dynamics, 2014, vol. 10, no. 1,pp. 73-100
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93.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
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94.The Problem of Drift and Recurrence for the Rolling Chaplygin Ball
Regular and Chaotic Dynamics, 2013, vol. 18, no. 6,pp. 832-859
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95.The Dynamics of the Chaplygin Ball with a Fluid-filled Cavity
Regular and Chaotic Dynamics, 2013, vol. 18, no. 5,pp. 490-496
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96.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
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97.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
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98.How to Control the Chaplygin Ball Using Rotors. II
Regular and Chaotic Dynamics, 2013, vol. 18, no. 1-2,pp. 144-158
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99.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
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100.The Dynamics of Vortex Rings: Leapfrogging, Choreographies and the Stability Problem
Regular and Chaotic Dynamics, 2013, vol. 18, no. 1-2,pp. 33-62
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101.The problem of drift and recurrence for the rolling Chaplygin ball
Russian Journal of Nonlinear Dynamics, 2013, vol. 9, no. 4,pp. 721-754
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102.Geometrization of the Chaplygin reducing-multiplier theorem
Russian Journal of Nonlinear Dynamics, 2013, vol. 9, no. 4,pp. 627-640
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103.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
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104.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
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105.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) -
106.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) -
107.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
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108.How to control the Chaplygin ball using rotors. II
Russian Journal of Nonlinear Dynamics, 2013, vol. 9, no. 1,pp. 59-76
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109.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
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110.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
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111.The Bifurcation Analysis and the Conley Index in Mechanics
Regular and Chaotic Dynamics, 2012, vol. 17, no. 5,pp. 457-478
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112.How to Control Chaplygin’s Sphere Using Rotors
Regular and Chaotic Dynamics, 2012, vol. 17, no. 3-4,pp. 258-272
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113.Two Non-holonomic Integrable Problems Tracing Back to Chaplygin
Regular and Chaotic Dynamics, 2012, vol. 17, no. 2,pp. 191-198
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114.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
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115.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
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116.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
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117.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
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118.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
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119.How to control the Chaplygin sphere using rotors
Russian Journal of Nonlinear Dynamics, 2012, vol. 8, no. 2,pp. 289-307
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120.The dynamics of vortex rings: Leapfrogging, choreographies and the stability problem
Russian Journal of Nonlinear Dynamics, 2012, vol. 8, no. 1,pp. 113-147
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121.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)
2011
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122.On the Model of Non-holonomic Billiard
Regular and Chaotic Dynamics, 2011, vol. 16, no. 6,pp. 653-662
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123.Rolling of a Homogeneous Ball over a Dynamically Asymmetric Sphere
Regular and Chaotic Dynamics, 2011, vol. 16, no. 5,pp. 465-483
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124.Hamiltonization of Nonholonomic Systems in the Neighborhood of Invariant Manifolds
Regular and Chaotic Dynamics, 2011, vol. 16, no. 5,pp. 443-464
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125.Hamiltonicity and integrability of the Suslov problem
Regular and Chaotic Dynamics, 2011, vol. 16, no. 1-2,pp. 104-116
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126.An omni-wheel vehicle on a plane and a sphere
Russian Journal of Nonlinear Dynamics, 2011, vol. 7, no. 4,pp. 785-801
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127.The bifurcation analysis and the Conley index in mechanics
Russian Journal of Nonlinear Dynamics, 2011, vol. 7, no. 3,pp. 649-681
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128.Two non-holonomic integrable systems of coupled rigid bodies
Russian Journal of Nonlinear Dynamics, 2011, vol. 7, no. 3,pp. 559-568
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129.On V.A. Steklov’s legacy in classical mechanics
Russian Journal of Nonlinear Dynamics, 2011, vol. 7, no. 2,pp. 389-403
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130.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
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131.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
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2010
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132.Basic principles and models of dynamic advection
Doklady Physics, 2010, vol. 432, no. 1,pp. 41–44
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133.Topology and stability of integrable systems
Russian Mathematical Surveys, 2010, vol. 65, no. 2,pp. 259–318
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134.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
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135.Reply to A. T. Fomenko's comments
Russian Journal of Nonlinear Dynamics, 2010, vol. 6, no. 4,pp. 893-895
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136.Rolling of a homogeneous ball over a dynamically asymmetric sphere
Russian Journal of Nonlinear Dynamics, 2010, vol. 6, no. 4,pp. 869-889
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137.Hamiltonisation of non-holonomic systems in the neighborhood of invariant manifolds
Russian Journal of Nonlinear Dynamics, 2010, vol. 6, no. 4,pp. 829-854
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138.Stability of a liquid self-gravitating elliptic cylinder with intrinsic rotation
Russian Journal of Nonlinear Dynamics, 2010, vol. 6, no. 4,pp. 807-822
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139.Dynamic advection
Russian Journal of Nonlinear Dynamics, 2010, vol. 6, no. 3,pp. 521-530
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140.Valery Vasilievich Kozlov. On his 60th birthday
Russian Journal of Nonlinear Dynamics, 2010, vol. 6, no. 3,pp. 461-488
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141.On the model of non-holonomic billiard
Russian Journal of Nonlinear Dynamics, 2010, vol. 6, no. 2,pp. 373-385
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142.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
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143.Hamiltonian representation and integrability of the Suslov problem
Russian Journal of Nonlinear Dynamics, 2010, vol. 6, no. 1,pp. 127-142
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144.Dynamics of a wheeled carriage on a plane
Bulletin of Udmurt University. Mathematics. Mechanics. Computer Science, 2010, no. 4,pp. 39-48
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145.Dynamics of liquid and gas ellipsoids
Izhevsk: Regular and Chaotic Dynamics, 2010,364 pp.
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146.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
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147.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) -
148.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) -
149.Isomorphisms of geodesic flows on quadrics
Regular and Chaotic Dynamics, 2009, vol. 14, no. 4-5,pp. 455-465
Abstract pdf (376.58 Kb) -
150.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) -
151.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) -
152.New superintegrable system on a sphere
Russian Journal of Nonlinear Dynamics, 2009, vol. 5, no. 4,pp. 455-462
Abstract pdf (214.58 Kb) -
153.Statistical mechanics of nonlinear dynamical systems
Russian Journal of Nonlinear Dynamics, 2009, vol. 5, no. 3,pp. 385-402
Abstract pdf (896.55 Kb) -
154.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) -
155.Isomorphisms of geodesic flows on quadrics
Russian Journal of Nonlinear Dynamics, 2009, vol. 5, no. 2,pp. 145-158
Abstract pdf (532.83 Kb) -
156.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)
2008
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157.Explicit integration of one problem in nonholonomic mechanics
Doklady Physics, 2008, vol. 53, no. 10,pp. 525-528
Abstract pdf (229.05 Kb) -
158.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) -
159.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) -
160.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) -
161.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) -
162.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) -
163.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) -
164.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) -
165.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) -
166.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) -
167.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)
2007
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168.Isomorphism and Hamilton representation of some nonholonomic systems
Siberian Mathematical Journal, 2007, vol. 48, no. 1,pp. 26-36
Abstract pdf (154.1 Kb) -
169.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) -
170.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) -
171.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) -
172.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) -
173.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) -
174.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) -
175.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) -
176.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) -
177.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) -
178.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
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179.New effects in dynamics of rattlebacks
Doklady Physics, 2006, vol. 408, no. 2,pp. 192-195
Abstract pdf (214.19 Kb) -
180.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) -
181.Motion of Chaplygin ball on an inclined plane
Doklady Physics, 2006, vol. 51, no. 2,pp. 73-76
Abstract pdf (212.42 Kb) -
182.An Integrable System with a Nonintegrable Constraint
Mathematical Notes, 2006, vol. 80, no. 1,pp. 127-130
Abstract pdf (98.56 Kb) -
183.On a Nonholonomic Dynamical Problem
Mathematical Notes, 2006, vol. 79, no. 5,pp. 734-740
Abstract pdf (189.22 Kb) -
184.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) -
185.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) -
186.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) -
187.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) -
188.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) -
189.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) -
190.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) -
191.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) -
192.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) -
193.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) -
194.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)
2005
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195.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) -
196.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) -
197.Superintegrable systems on a sphere
Regular and Chaotic Dynamics, 2005, vol. 10, no. 3,pp. 257-266
Abstract pdf (312.81 Kb) -
198.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) -
199.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) -
200.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) -
201.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) -
202.Rigid body dynamics. Hamiltonian methods, integrability, chaos
Moscow–Izhevsk: Institute of Computer Science, 2005,576 pp.
Abstract pdf (21.11 Mb) -
203.Mathematical methods in the dynamics of vortex structures
Moscow–Izhevsk: Institute of Computer Science, 2005,368 pp.
Abstract pdf (7.6 Mb) -
204.Selected Problems on Nonholonomic Mechanics
Moscow–Izhevsk: Institute of Computer Science, 2005,290 pp.
Abstract pdf (5.92 Mb) -
205.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) -
206.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) -
207.Hamiltonization of nonholonomic systems
arXiv:nlin/0509036v1, 2005,24 pp.
Abstract pdf (321.8 Kb) -
208.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) -
209.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
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210.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) -
211.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) -
212.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) -
213.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) -
214.Classical dynamics in non-Eucledian spaces
Moscow–Izhevsk: Institute of Computer Science, 2004,348 pp.
Abstract pdf (3.5 Mb)
2003
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215.Two Integrable System on a Two-dimensional Sphere
Doklady Physics, 2003, vol. 389, no. 3,pp. 338-340
Abstract pdf (160.12 Kb) -
216.Strange Attractors in Rattleback Dynamics
Physics-Uspekhi, 2003, vol. 46, no. 4,pp. 393-403
Abstract pdf (484.78 Kb) -
217.The Hess case in the dynamics of a rigid body
Journal of Applied Mathematics and Mechanics, 2003, vol. 67, no. 2,pp. 227-235
Abstract pdf (605.38 Kb) -
218.Motion of a circular cylinder and $n$ point vortices in a perfect fluid
Regular and Chaotic Dynamics, 2003, vol. 8, no. 4,pp. 449-462
Abstract pdf (585.43 Kb) -
219.New cases when the invariant measure and first integrals exist in the problem of a body rolling on a surface
Regular and Chaotic Dynamics, 2003, vol. 8, no. 3,pp. 331-335
Abstract pdf (148.37 Kb) -
220.Dynamics of rolling disk
Regular and Chaotic Dynamics, 2003, vol. 8, no. 2,pp. 201-212
Abstract pdf (648.4 Kb) -
221.An Integrability of the Problem on Motion of Cylinder and Vortex in the Ideal Fluid
Regular and Chaotic Dynamics, 2003, vol. 8, no. 2,pp. 163-166
Abstract pdf (90.36 Kb) -
222.Fundamental and Applied Problems in the Theory of Vortices
Moscow–Izhevsk: Institute of Computer Science, 2003,704 pp.
Abstract pdf (16.02 Mb) -
223.Modern Methods of the Theory of Integrable Systems
Moscow–Izhevsk: Institute of Computer Science, 2003,296 pp.
Abstract pdf (1.77 Mb)
2002
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224.Obstacle to the Reduction of Nonholonomic Systems to the Hamiltonian Form
Doklady Physics, 2002, vol. 47, no. 12,pp. 892-894
Abstract pdf (36.81 Kb) -
225.A New Integral in the Problem of Rolling a Ball on an Arbitrary Ellipsoid
Doklady Physics, 2002, vol. 47, no. 7,pp. 544-547
Abstract pdf (85.97 Kb) -
226.The rolling motion of a ball on a surface. New integrals and hierarchy of dynamics
Regular and Chaotic Dynamics, 2002, vol. 7, no. 2,pp. 201-219
Abstract pdf (628.29 Kb) -
227.The rolling motion of a rigid body on a plane and a sphere. Hierarchy of dynamics
Regular and Chaotic Dynamics, 2002, vol. 7, no. 2,pp. 177-200
Abstract pdf (784.15 Kb) -
228.On the History of the Development of the Nonholonomic Dynamics
Regular and Chaotic Dynamics, 2002, vol. 7, no. 1,pp. 43-47
Abstract pdf (183.63 Kb) -
229.Generalization of the Goryachev–Chaplygin Case
Regular and Chaotic Dynamics, 2002, vol. 7, no. 1,pp. 21-30
Abstract pdf (289.22 Kb) -
230.Nonholonomic Dynamical Systems
Moscow–Izhevsk: Institute of Computer Science, 2002,324 pp.
Abstract pdf (3.86 Mb)
2001
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231.A New Integrable Case on $so(4)$
Doklady Physics, 2001, vol. 46, no. 12,pp. 888-889
Abstract pdf (28.12 Kb) -
232.Chaplygin's Ball Rolling Problem Is Hamiltonian
Mathematical Notes, 2001, vol. 70, no. 5,pp. 720-723
Abstract pdf (339.65 Kb) -
233.Euler–Poisson Equations and Integrable Cases
Regular and Chaotic Dynamics, 2001, vol. 6, no. 3,pp. 253-276
Abstract pdf (1.41 Mb) -
234.Kovalevskaya top and generalizations of integrable systems
Regular and Chaotic Dynamics, 2001, vol. 6, no. 1,pp. 1-16
Abstract pdf (286.68 Kb) -
235.Dynamics of the Rigid Body
Izhevsk: Regular and Chaotic Dynamics, 2001,384 pp.
Abstract pdf (4.8 Mb)
2000
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236.Some comments to the paper by A.M.Perelomov "A note on geodesics on ellipsoid" RCD 2000 5(1) 89-91
Regular and Chaotic Dynamics, 2000, vol. 5, no. 1,pp. 92-94
Abstract pdf (178.43 Kb) -
237.The Kovalevskaya case and new integrable systems of dynamics
Vestnik molodyh uchenyh. "Prikladnaya matematika i mehanika", 2000, no. 4,pp. 13-25
Abstract pdf (910.69 Kb)
1999
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238.The restricted two-body problem and the kepler problem in the constant curvature spaces
Regular and Chaotic Dynamics, 1999, vol. 4, no. 2,pp. 112-124
Abstract pdf (807.85 Kb) -
239.Lie algebras in vortex dynamics and celestial mechanics — IV
Regular and Chaotic Dynamics, 1999, vol. 4, no. 1,pp. 23-50
Abstract pdf (1.16 Mb) -
240.Poisson Structures and Lie Algebras in Hamiltonian Mechanics
Izhevsk: Izd. UdSU, 1999,464 pp.
Abstract pdf (5.91 Mb)
1998
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241.Libration points in a bounded problem of three bodies on $S^2$
Izvestiya Instituta Matematiki i Informatiki Udmurtskogo Gosudarstvennogo Universiteta, 1998, no. 1,pp. 61-66
Abstract pdf (3.96 Mb) -
242.Integrability of the Problems of Motion of a Particle in Constant Curvature Spaces in the Presence of Magnetic Monopole and in the Presence of Two Fixed Newtonian Centers
Proceedings of IX Seminar "Gravitational Energy and Gravity Waves", 1998,pp. 75-78
Abstract pdf (4.6 Mb) -
243.A degenerate Poisson Structure and Lie algebras in the Two Problems of Hamiltonian Dynamics
Proceedings of IX Seminar "Gravitational Energy and Gravity Waves", 1998,pp. 71-74
Abstract pdf (3.81 Mb)
1997
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244.Non-linear Poisson brackets and isomorphisms in dynamics
Regular and Chaotic Dynamics, 1997, vol. 2, no. 3-4,pp. 72-89
Abstract pdf (1.69 Mb) -
245.Adiabatic Chaos in Rigid Body Dynamics
Regular and Chaotic Dynamics, 1997, vol. 2, no. 2,pp. 65-78
Abstract pdf (1.71 Mb)