Publications
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2022

1.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)
2021

1.Conservation laws for a spherical top on a plane with friction
International Journal of NonLinear Mechanics, 2021, vol. 129, 103666,5 pp.
Abstract pdf (353.6 Kb) 
2.The influence of the first integrals and the rolling resistance model on tippe top inversion
Nonlinear Dynamics, 2021, vol. 103, no. 1,pp. 419428
Abstract pdf (494.9 Kb) 
3.Normal forms and averaging in an acceleration problem in nonholonomic mechanics
Chaos, 2021, vol. 31, 013132,16 pp.
Abstract pdf (1.05 Mb) 
4.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)
2020

1.Separatrix splitting and nonintegrability in the nonholonomic rolling of a generalized Chaplygin sphere
International Journal of NonLinear Mechanics, 2020, vol. 126, 103550,7 pp.
Abstract pdf (2.22 Mb) 
2.Stability of regular vortex polygons in Bose–Einstein condensate
Izvestiya Instituta Matematiki i Informatiki Udmurtskogo Gosudarstvennogo Universiteta, 2020, vol. 56,pp. 2029
Abstract pdf (185 Kb) 
3.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. 645656
Abstract pdf (210.33 Kb) 
4.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. 628644
Abstract pdf (299.53 Kb) 
5.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. 618627
Abstract pdf (553.19 Kb) 
6.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. 604617
Abstract pdf (356.62 Kb) 
7.Stability and Stabilization of Steady Rotations of a Spherical Robot on a Vibrating Base
Regular and Chaotic Dynamics, 2020, vol. 25, no. 6,pp. 729752
Abstract pdf (1.62 Mb) 
8.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. 689706
Abstract pdf (950.79 Kb) 
9.Dynamics of Rubber Chaplygin Sphere under Periodic Control
Regular and Chaotic Dynamics, 2020, vol. 25, no. 2,pp. 215236
Abstract pdf (4.03 Mb) 
10.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) 
11.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. 117
Abstract pdf (1.98 Mb) 
12.Verifying the Performance Characteristics of the (micro) Robotic Devices
Russian Journal of Nonlinear Dynamics, 2020, vol. 16, no. 1,pp. 161172
Abstract pdf (2.54 Mb) 
13.Neural network control of a wheeled mobile robot based on optimal trajectories
International Journal of Advanced Robotic Systems, 2020,pp. 110
Abstract pdf (911.75 Kb) 
14.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) 
15.Nonholonomic 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) 
16.Asymptotic behavior in the dynamics of a smooth body in an ideal fluid
Acta Mechanica, 2020, vol. 231,pp. 45294535
Abstract pdf (519.06 Kb) 
17.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. 195202
Abstract pdf (415.75 Kb) 
18.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. 404411
Abstract pdf (633.84 Kb) 
19.Controlled motion of a highly maneuverable mobile robot along curvilinear trajectories
2020 International Conference Nonlinearity, Information and Robotics – IEEE, 2020,pp. 14
Abstract pdf (3.15 Mb) 
20.Stabilization of a spherical robot rolling on an oscillating underlying surface
2020 International Conference Nonlinearity, Information and Robotics – IEEE, 2020,pp. 12
Abstract pdf (1.09 Mb) 
21.Theoretical and experimental investigations of the controlled motion of the Roller Racer
2020 International Conference Nonlinearity, Information and Robotics – IEEE, 2020,pp. 15
Abstract pdf (408.24 Kb) 
22.Dynamics of a spherical robot with periodically changing moments of inertia
2020 International Conference Nonlinearity, Information and Robotics – IEEE, 2020,pp. 15
Abstract pdf (310.64 Kb) 
23.Dynamics of point vortices and a cylinder in an ideal fluid
2020 International Conference Nonlinearity, Information and Robotics – IEEE, 2020,pp. 13
Abstract pdf (241.98 Kb) 
24.An integrable case in the dynamics of a threelink vehicle
2020 International Conference Nonlinearity, Information and Robotics – IEEE, 2020,pp. 16
Abstract pdf (1.17 Mb) 
25.Stabilization of rotations of a rigid body with a fixed point by periodic perturbations
2020 International Conference Nonlinearity, Information and Robotics – IEEE, 2020,pp. 15
Abstract pdf (1.06 Mb) 
26.Experimental evaluation of simplified physical model for control of aquatic robot with internal rotor
2020 International Conference Nonlinearity, Information and Robotics – IEEE, 2020,pp. 12
Abstract pdf (330.17 Kb) 
27.Dynamics and control of a threelink wheeled vehicle
2020 International Conference Nonlinearity, Information and Robotics – IEEE, 2020,pp. 12
Abstract pdf (226.65 Kb)
2019

1.Speedup of the Chaplygin Top by Means of Rotors
Doklady Physics, 2019, vol. 64, no. 3,pp. 120124
Abstract pdf (486.65 Kb) 
2.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. 560582
Abstract pdf (1.93 Mb) 
3.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. 312328
Abstract pdf (2.58 Mb) 
4.A Parabolic Chaplygin Pendulum and a Paul Trap: Nonintegrability, Stability, and Boundedness
Regular and Chaotic Dynamics, 2019, vol. 24, no. 3,pp. 329352
Abstract pdf (1.48 Mb) 
5.Qualitative Analysis of the Nonholonomic Rolling of a Rubber Wheel with Sharp Edges
Regular and Chaotic Dynamics, 2019, vol. 24, no. 2,pp. 212233
Abstract pdf (883.49 Kb) 
6.Integrability and Chaos in Vortex Lattice Dynamics
Regular and Chaotic Dynamics, 2019, vol. 24, no. 1,pp. 101113
Abstract pdf (1.61 Mb) 
7.The Dynamics of a Spherical Robot of Combined Type by Periodic Control Actions
Russian Journal of Nonlinear Dynamics, 2019, vol. 15, no. 4,pp. 497504
Abstract pdf (528.42 Kb) 
8.Experimental Investigations of the Control Algorithm of a Mobile Manipulation Robot
Russian Journal of Nonlinear Dynamics, 2019, vol. 15, no. 4,pp. 487495
Abstract pdf (1.23 Mb) 
9.Vibrational Stability of Periodic Solutions of the Liouville Equations
Russian Journal of Nonlinear Dynamics, 2019, vol. 15, no. 3,pp. 351363
Abstract pdf (775.13 Kb) 
10.The Rolling of a Homogeneous Ball with Slipping on a Horizontal Rotating Plane
Russian Journal of Nonlinear Dynamics, 2019, vol. 15, no. 2,pp. 171178
Abstract pdf (443.65 Kb) 
11.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. 4157
Abstract pdf (408.7 Kb) 
12.The Chaplygin sleigh with friction moving due to periodic oscillations of an internal mass
Nonlinear Dynamics, 2019, vol. 95, no. 1,pp. 699714
Abstract pdf (2.97 Mb) 
13.Controlled Motion of a Spherical Robot with Feedback. II
Journal of Dynamical and Control Systems, 2019, vol. 25, no. 1,pp. 116
Abstract pdf (803.07 Kb) 
14.Stabilization of the motion of a spherical robot using feedbacks
Applied Mathematical Modelling, 2019, vol. 69,pp. 583592
Abstract pdf (1005.01 Kb) 
15.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) 
16.Fermilike acceleration and powerlaw energy growth in nonholonomic systems
Nonlinearity, 2019, vol. 32,pp. 32093233
Abstract pdf (974.09 Kb) 
17.Nonholonomic rolling of a ball on the surface of a rotating cone
Nonlinear Dynamics, 2019, vol. 97, no. 2,pp. 16351648
Abstract pdf (1.04 Mb) 
18.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. 935938
Abstract pdf (2.18 Mb) 
19.Dynamics of a Chaplygin sleigh with an unbalanced rotor: regular and chaotic motions
Nonlinear Dynamics, 2019, vol. 98,pp. 22772291
Abstract pdf (829 Kb) 
20.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. 412428
Abstract pdf (963.73 Kb)
2018

1.Control of the Rolling Motion of a Spherical Robot on an Inclined Plane
Doklady Physics, 2018, vol. 63, no. 10,pp. 435440
Abstract pdf (509.36 Kb) 
2.Controlled Motion of a Spherical Robot of Pendulum Type on an Inclined Plane
Doklady Physics, 2018, vol. 63, no. 7,pp. 302306
Abstract pdf (568.83 Kb) 
3.Reduction and relative equilibria for the twobody problem on spaces of constant curvature
Celestial Mechanics and Dynamical Astronomy, 2018, vol. 130, no. 6,pp. 136
Abstract pdf (1.38 Mb) 
4.Selfpropulsion of a Smooth Body in a Viscous Fluid Under Periodic Oscillations of a Rotor and Circulation
Regular and Chaotic Dynamics, 2018, vol. 23, no. 78,pp. 850874
Abstract pdf (4.03 Mb) 
5.The Selfpropulsion 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. 78,pp. 875886
Abstract pdf (1.64 Mb) 
6.Integrable Nonsmooth Nonholonomic Dynamics of a Rubber Wheel with Sharp Edges
Regular and Chaotic Dynamics, 2018, vol. 23, no. 78,pp. 887907
Abstract pdf (2.02 Mb) 
7.Exotic Dynamics of Nonholonomic Roller Racer with Periodic Control
Regular and Chaotic Dynamics, 2018, vol. 23, no. 78,pp. 983994
Abstract pdf (1.99 Mb) 
8.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. 665684
Abstract pdf (662.06 Kb) 
9.Three Vortices in Spaces of Constant Curvature: Reduction, Poisson Geometry, and Stability
Regular and Chaotic Dynamics, 2018, vol. 23, no. 5,pp. 613636
Abstract pdf (3.34 Mb) 
10.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. 480502
Abstract pdf (2.88 Mb) 
11.A Nonholonomic Model of the Paul Trap
Regular and Chaotic Dynamics, 2018, vol. 23, no. 3,pp. 339354
Abstract pdf (6.87 Mb) 
12.Linear Hamiltonian Systems: Quadratic Integrals, Singular Subspaces and Stability
Regular and Chaotic Dynamics, 2018, vol. 23, no. 1,pp. 2646
Abstract pdf (693.23 Kb) 
13.Dynamics of a Body with a Sharp Edge in a Viscous Fluid
Russian Journal of Nonlinear Dynamics, 2018, vol. 14, no. 4,pp. 473494
Abstract pdf (835.37 Kb) 
14.Identification of parameters of the model of toroidal body motion using experimental data
Russian Journal of Nonlinear Dynamics, 2018, vol. 14, no. 1,pp. 99121
Abstract pdf (1.49 Mb) 
15.Controlling the movement of the body using internal masses in a viscous liquid
Computer Research and Modeling, 2018, vol. 10, no. 4,pp. 445460
Abstract pdf (523.34 Kb) 
16.Controlled Motion of a Spherical Robot with Feedback. I
Journal of Dynamical and Control Systems, 2018, vol. 24, no. 3,pp. 497510
Abstract pdf (606.17 Kb) 
17.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.Dynamics of the Chaplygin ball on a rotating plane
Russian Journal of Mathematical Physics, 2018, vol. 25, no. 4,pp. 423433
Abstract pdf (872.8 Kb) 
19.Chaplygin Top with a Periodic Gyrostatic Moment
Russian Journal of Mathematical Physics, 2018, vol. 25, no. 4,pp. 509524
Abstract pdf (1.14 Mb)
2017

1.Hamilton’s Principle and the Rolling Motion of a Symmetric Ball
Doklady Physics, 2017, vol. 62, no. 6,pp. 314317
Abstract pdf (206.42 Kb) 
2.Retrograde motion of a rolling disk
PhysicsUspekhi, 2017, vol. 60, no. 9,pp. 931934
Abstract pdf (364.25 Kb) 
3.Control of the Motion of a Triaxial Ellipsoid in a Fluid Using Rotors
Mathematical Notes, 2017, vol. 102, no. 4,pp. 455464
Abstract pdf (616.14 Kb) 
4.Dynamical systems with nonintegrable constraints, vakonomic mechanics, subRiemannian geometry, and nonholonomic mechanics
Russian Mathematical Surveys, 2017, vol. 72, no. 5,pp. 783840
Abstract pdf (1.09 Mb) 
5.A Chaplygin sleigh with a moving point mass
Bulletin of Udmurt University. Mathematics. Mechanics. Computer Science, 2017, vol. 27, no. 4,pp. 583589
Abstract pdf (314.6 Kb) 
6.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. 576582
Abstract pdf (312.38 Kb) 
7.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.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.An Inhomogeneous Chaplygin Sleigh
Regular and Chaotic Dynamics, 2017, vol. 22, no. 4,pp. 435447
Abstract pdf (676.55 Kb) 
10.The Rolling Motion of a Truncated Ball Without Slipping and Spinning on a Plane
Regular and Chaotic Dynamics, 2017, vol. 22, no. 3,pp. 298317
Abstract pdf (399.6 Kb) 
11.The Inertial Motion of a Roller Racer
Regular and Chaotic Dynamics, 2017, vol. 22, no. 3,pp. 239247
Abstract pdf (3.26 Mb) 
12.The Hess–Appelrot Case and Quantization of the Rotation Number
Regular and Chaotic Dynamics, 2017, vol. 22, no. 2,pp. 180196
Abstract pdf (991.1 Kb) 
13.An inhomogeneous Chaplygin sleigh
Russian Journal of Nonlinear Dynamics, 2017, vol. 13, no. 4,pp. 625–639
Abstract pdf (518.79 Kb) 
14.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.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.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.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.The Hess–Appelrot case and quantization of the rotation number
Russian Journal of Nonlinear Dynamics, 2017, vol. 13, no. 3,pp. 433452
Abstract pdf (556.32 Kb) 
19.Regular and chaotic dynamics in the rubber model of a Chaplygin top
Russian Journal of Nonlinear Dynamics, 2017, vol. 13, no. 2,pp. 277297
Abstract pdf (2.3 Mb) 
20.Integrability and nonintegrability of subRiemannian geodesic flows on Carnot groups
Russian Journal of Nonlinear Dynamics, 2017, vol. 13, no. 1,pp. 129146
Abstract pdf (2.82 Mb) 
21.Optimal control of the motion in an ideal fluid of a screwshaped body with internal rotors
Computer Research and Modeling, 2017, vol. 9, no. 5,pp. 741759
Abstract pdf (567.52 Kb) 
22.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. 435458
Abstract pdf (1.49 Mb) 
23.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. 399411
Abstract pdf (582.92 Kb) 
24.Chaplygin sleigh with periodically oscillating internal mass
EPL, 2017, vol. 119, no. 6, 60008,7 pp.
Abstract pdf (854.88 Kb) 
25.Experimental investigations of a highly maneuverable mobile omniwheel robot
International Journal of Advanced Robotic Systems, 2017, vol. 14, no. 6,pp. 19
Abstract pdf (654.85 Kb)
2016

1.Experimental Investigation of the Dynamics of a Brake Shoe
Doklady Physics, 2016, vol. 61, no. 12,pp. 611614
Abstract pdf (413.7 Kb) 
2.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. 293297
Abstract pdf (300.44 Kb) 
3.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. 302332
Abstract pdf (1.36 Mb) 
4.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. 158167
Abstract pdf (366.98 Kb) 
5.Generalizations of the Kovalevskaya Case and Quaternions
Proceedings of the Steklov Institute of Mathematics, 2016, vol. 295,pp. 3344
Abstract pdf (190.82 Kb) 
6.The Hess–Appelrot system and its nonholonomic analogs
Proceedings of the Steklov Institute of Mathematics, 2016, vol. 294,pp. 268292
Abstract pdf (1.23 Mb) 
7.Dynamics of a PainlevéAppel system
Journal of Applied Mathematics and Mechanics, 2016, vol. 80, no. 1,pp. 715
Abstract pdf (1.78 Mb) 
8.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. 886890
Abstract pdf (508.12 Kb) 
9.Control of the Motion of a Helical Body in a Fluid Using Rotors
Regular and Chaotic Dynamics, 2016, vol. 21, no. 78,pp. 874884
Abstract pdf (1.23 Mb) 
10.Regular and Chaotic Dynamics in the Rubber Model of a Chaplygin Top
Regular and Chaotic Dynamics, 2016, vol. 21, no. 78,pp. 885901
Abstract pdf (2.21 Mb) 
11.Experimental Investigations of the Controlled Motion of a Screwless Underwater Robot
Regular and Chaotic Dynamics, 2016, vol. 21, no. 78,pp. 918926
Abstract pdf (6.91 Mb) 
12.Influence of Vortex Structures on the Controlled Motion of an Abovewater Screwless Robot
Regular and Chaotic Dynamics, 2016, vol. 21, no. 78,pp. 927938
Abstract pdf (6.5 Mb) 
13.On the Extendability of Noether’s Integrals for Orbifolds of Constant Negative Curvature
Regular and Chaotic Dynamics, 2016, vol. 21, no. 78,pp. 821831
Abstract pdf (630.35 Kb) 
14.Integrability and Nonintegrability of SubRiemannian Geodesic Flows on Carnot Groups
Regular and Chaotic Dynamics, 2016, vol. 21, no. 6,pp. 759774
Abstract pdf (3.48 Mb) 
15.The Spatial Problem of 2 Bodies on a Sphere. Reduction and Stochasticity
Regular and Chaotic Dynamics, 2016, vol. 21, no. 5,pp. 556580
Abstract pdf (1.45 Mb) 
16.Historical and Critical Review of the Development of Nonholonomic Mechanics: the Classical Period
Regular and Chaotic Dynamics, 2016, vol. 21, no. 4,pp. 455476
Abstract pdf (1.87 Mb) 
17.The Dynamics of Vortex Sources in a Deformation Flow
Regular and Chaotic Dynamics, 2016, vol. 21, no. 3,pp. 367376
Abstract pdf (1.37 Mb) 
18.Adiabatic Invariants, Diffusion and Acceleration in Rigid Body Dynamics
Regular and Chaotic Dynamics, 2016, vol. 21, no. 2,pp. 232248
Abstract pdf (941.28 Kb) 
19.Dynamics of the Chaplygin Sleigh on a Cylinder
Regular and Chaotic Dynamics, 2016, vol. 21, no. 1,pp. 136146
Abstract pdf (268.54 Kb) 
20.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.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.Historical and critical review of the development of nonholonomic mechanics: the classical period
Russian Journal of Nonlinear Dynamics, 2016, vol. 12, no. 3,pp. 385411
Abstract pdf (1.9 Mb) 
23.Dynamics of the Suslov problem in a gravitational field: reversal and strange attractors
Russian Journal of Nonlinear Dynamics, 2016, vol. 12, no. 2,pp. 263287
Abstract pdf (3.54 Mb) 
24.On the Hadamard–Hamel problem and the dynamics of wheeled vehicles
Russian Journal of Nonlinear Dynamics, 2016, vol. 12, no. 1,pp. 145163
Abstract pdf (445.79 Kb) 
25.Chaotic dynamics in the problem of the fall of a screwshaped body in a fluid
Russian Journal of Nonlinear Dynamics, 2016, vol. 12, no. 1,pp. 99120
Abstract pdf (4.44 Mb) 
26.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.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.Rigid Body Dynamics in NonEuclidean Spaces
Russian Journal of Mathematical Physics, 2016, vol. 23, no. 4,pp. 431454
Abstract pdf (704.17 Kb) 
29.Dynamics of a body sliding on a rough plane and supported at three points
Theoretical and Applied Mechanics, 2016, vol. 43, no. 2,pp. 169190
Abstract pdf (1.81 Mb)
2015

1.A New Integrable System of Nonholonomic Mechanics
Doklady Physics, 2015, vol. 60, no. 6,pp. 269271
Abstract pdf (255.48 Kb) 
2.Homogeneous systems with quadratic integrals, Lie–Poisson quasibrackets, and the Kovalevskaya method
Sbornik: Mathematics, 2015, vol. 206, no. 12,pp. 29–54
Abstract pdf (481.65 Kb) 
3.Notes on new friction models and nonholonomic mechanics
PhysicsUspekhi, 2015, vol. 58, no. 12,pp. 12201222
Abstract pdf (262.98 Kb) 
4.Figures of equilibrium of an inhomogeneous selfgravitating fluid
Celestial Mechanics and Dynamical Astronomy, 2015, vol. 122, no. 1,pp. 126
Abstract pdf (651.34 Kb) 
5.Topological monodromy as an obstruction to Hamiltonization of nonholonomic systems: Pro or contra?
Journal of Geometry and Physics, 2015, vol. 87,pp. 6175
Abstract pdf (754.64 Kb) 
6.On the loss of contact of the Euler disk
Nonlinear Dynamics, 2015, vol. 79, no. 4,pp. 22872294
Abstract pdf (829.12 Kb) 
7.Equations of motion of nonholonomic systems
Russian Mathematical Surveys, 2015, vol. 70, no. 6,pp. 11671169
Abstract pdf (335.26 Kb) 
8.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. 583592
Abstract pdf (395.52 Kb) 
9.Experimental determination of the added masses by method of towing
Bulletin of Udmurt University. Mathematics. Mechanics. Computer Science, 2015, vol. 25, no. 4,pp. 568582
Abstract pdf (1.88 Mb) 
10.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. 554567
Abstract pdf (4.06 Mb) 
11.A model of a screwless underwater robot
Bulletin of Udmurt University. Mathematics. Mechanics. Computer Science, 2015, vol. 25, no. 4,pp. 544553
Abstract pdf (308.24 Kb) 
12.Qualitative Analysis of the Dynamics of a Wheeled Vehicle
Regular and Chaotic Dynamics, 2015, vol. 20, no. 6,pp. 739751
Abstract pdf (445.93 Kb) 
13.On the Hadamard – Hamel Problem and the Dynamics of Wheeled Vehicles
Regular and Chaotic Dynamics, 2015, vol. 20, no. 6,pp. 752766
Abstract pdf (265.93 Kb) 
14.Spherical Robot of Combined Type: Dynamics and Control
Regular and Chaotic Dynamics, 2015, vol. 20, no. 6,pp. 716728
Abstract pdf (306.92 Kb) 
15.Dynamics of the Suslov Problem in a Gravitational Field: Reversal and Strange Attractors
Regular and Chaotic Dynamics, 2015, vol. 20, no. 5,pp. 605626
Abstract pdf (640.12 Kb) 
16.Symmetries and Reduction in Nonholonomic Mechanics
Regular and Chaotic Dynamics, 2015, vol. 20, no. 5,pp. 553604
Abstract pdf (539.38 Kb) 
17.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. 518541
Abstract pdf (516.92 Kb) 
18.The Jacobi Integral in Nonholonomic Mechanics
Regular and Chaotic Dynamics, 2015, vol. 20, no. 3,pp. 383400
Abstract pdf (990.04 Kb) 
19.Dynamics and Control of an Omniwheel Vehicle
Regular and Chaotic Dynamics, 2015, vol. 20, no. 2,pp. 153172
Abstract pdf (1.11 Mb) 
20.The Dynamics and Control of a Spherical Robot with an Internal Omniwheel Platform
Regular and Chaotic Dynamics, 2015, vol. 20, no. 2,pp. 134152
Abstract pdf (1.38 Mb) 
21.Symmetries and Reduction in Nonholonomic Mechanics
Russian Journal of Nonlinear Dynamics, 2015, vol. 11, no. 4,pp. 763–823
Abstract pdf (909.32 Kb) 
22.Topology and Bifurcations in Nonholonomic Mechanics
Russian Journal of Nonlinear Dynamics, 2015, vol. 11, no. 4,pp. 735–762
Abstract pdf (561.73 Kb) 
23.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) 
24.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) 
25.The dynamics of systems with servoconstraints. II
Russian Journal of Nonlinear Dynamics, 2015, vol. 11, no. 3,pp. 579611
Abstract pdf (560.42 Kb) 
26.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. 547577
Abstract pdf (2.38 Mb) 
27.The Jacobi Integral in NonholonomicMechanics
Russian Journal of Nonlinear Dynamics, 2015, vol. 11, no. 2,pp. 377396
Abstract pdf (1.9 Mb) 
28.The dynamics of systems with servoconstraints. I
Russian Journal of Nonlinear Dynamics, 2015, vol. 11, no. 2,pp. 353376
Abstract pdf (505.17 Kb) 
29.The dynamic of a spherical robot with an internal omniwheel platform
Russian Journal of Nonlinear Dynamics, 2015, vol. 11, no. 1,pp. 187204
Abstract pdf (530.7 Kb) 
30.Principles of dynamics and servoconstraints
Russian Journal of Nonlinear Dynamics, 2015, vol. 11, no. 1,pp. 169178
Abstract pdf (316.31 Kb) 
31.Geometrisation of Chaplygin's reducing multiplier theorem
Nonlinearity, 2015, vol. 28, no. 7,pp. 2307–2318
Abstract pdf (156.41 Kb) 
32.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) 
33.Hamiltonization of Elementary Nonholonomic Systems
Russian Journal of Mathematical Physics, 2015, vol. 22, no. 4,pp. 444453
Abstract pdf (115.49 Kb)
2014

1.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.On the Nonlinear Poisson Bracket Arising in Nonholonomic Mechanics
Mathematical Notes, 2014, vol. 95, no. 3,pp. 308315
Abstract pdf (509.63 Kb) 
3.Nonholonomic dynamics and Poisson geometry
Russian Mathematical Surveys, 2014, vol. 69, no. 3,pp. 481538
Abstract pdf (917.58 Kb) 
4.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.The Dynamics of Three Vortex Sources
Regular and Chaotic Dynamics, 2014, vol. 19, no. 6,pp. 694701
Abstract pdf (244.27 Kb) 
6.The Dynamics of a Body with an Axisymmetric Base Sliding on a Rough Plane
Regular and Chaotic Dynamics, 2014, vol. 19, no. 6,pp. 607634
Abstract pdf (965.59 Kb) 
7.Superintegrable Generalizations of the Kepler and Hook Problems
Regular and Chaotic Dynamics, 2014, vol. 19, no. 3,pp. 415434
Abstract pdf (300.95 Kb) 
8.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. 198213
Abstract pdf (241.48 Kb) 
9.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. 140143
Abstract pdf (170.77 Kb) 
10.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. 116139
Abstract pdf (735.75 Kb) 
11.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. 497511
Abstract pdf (986.08 Kb) 
12.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. 483495
Abstract pdf (667.35 Kb) 
13.Control of a Vehicle with Omniwheels on a Plane
Russian Journal of Nonlinear Dynamics, 2014, vol. 10, no. 4,pp. 473481
Abstract pdf (520.34 Kb) 
14.On Rational Integrals of Geodesic Flows
Russian Journal of Nonlinear Dynamics, 2014, vol. 10, no. 4,pp. 439445
Abstract pdf (302.05 Kb) 
15.Invariant Measure and Hamiltonization of Nonholonomic Systems
Russian Journal of Nonlinear Dynamics, 2014, vol. 10, no. 3,pp. 355359
Abstract pdf (283.75 Kb) 
16.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. 329343
Abstract pdf (5.62 Mb) 
17.The dynamics of three vortex sources
Russian Journal of Nonlinear Dynamics, 2014, vol. 10, no. 3,pp. 319327
Abstract pdf (413.32 Kb) 
18.On a generalization of systems of Calogero type
Russian Journal of Nonlinear Dynamics, 2014, vol. 10, no. 2,pp. 209212
Abstract pdf (237.84 Kb) 
19.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. 127131
Abstract pdf (234.11 Kb) 
20.Kinematic control of a high manoeuvrable mobile spherical robot with internal omniwheeled platform
Russian Journal of Nonlinear Dynamics, 2014, vol. 10, no. 1,pp. 113126
Abstract pdf (3.43 Mb) 
21.Figures of equilibrium of an inhomogeneous selfgravitating fluid
Russian Journal of Nonlinear Dynamics, 2014, vol. 10, no. 1,pp. 73100
Abstract pdf (492.78 Kb) 
22.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. 7986
Abstract pdf (311.48 Kb) 
23.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.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.The Problem of Drift and Recurrence for the Rolling Chaplygin Ball
Regular and Chaotic Dynamics, 2013, vol. 18, no. 6,pp. 832859
Abstract pdf (702.93 Kb) 
3.The Dynamics of the Chaplygin Ball with a Fluidfilled Cavity
Regular and Chaotic Dynamics, 2013, vol. 18, no. 5,pp. 490496
Abstract pdf (405.38 Kb) 
4.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. 356371
Abstract pdf (488.37 Kb) 
5.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. 277328
Abstract pdf (2.69 Mb) 
6.How to Control the Chaplygin Ball Using Rotors. II
Regular and Chaotic Dynamics, 2013, vol. 18, no. 12,pp. 144158
Abstract pdf (1.73 Mb) 
7.The Selfpropulsion of a Body with Moving Internal Masses in a Viscous Fluid
Regular and Chaotic Dynamics, 2013, vol. 18, no. 12,pp. 100117
Abstract pdf (1.71 Mb) 
8.The Dynamics of Vortex Rings: Leapfrogging, Choreographies and the Stability Problem
Regular and Chaotic Dynamics, 2013, vol. 18, no. 12,pp. 3362
Abstract pdf (857.35 Kb) 
9.The problem of drift and recurrence for the rolling Chaplygin ball
Russian Journal of Nonlinear Dynamics, 2013, vol. 9, no. 4,pp. 721754
Abstract pdf (875.6 Kb) 
10.Geometrization of the Chaplygin reducingmultiplier theorem
Russian Journal of Nonlinear Dynamics, 2013, vol. 9, no. 4,pp. 627640
Abstract pdf (373.67 Kb) 
11.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. 567594
Abstract pdf (886.59 Kb) 
12.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. 547566
Abstract pdf (441.83 Kb) 
13.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. 521545
Abstract pdf (612.94 Kb) 
14.Dynamics and Control of a Spherical Robot with an Axisymmetric Pendulum Actuator
Russian Journal of Nonlinear Dynamics, 2013, vol. 9, no. 3,pp. 507520
Abstract pdf (582.48 Kb) 
15.On the loss of contact of the Euler disk
Russian Journal of Nonlinear Dynamics, 2013, vol. 9, no. 3,pp. 499506
Abstract pdf (362.06 Kb) 
16.Notes on integrable systems
Russian Journal of Nonlinear Dynamics, 2013, vol. 9, no. 3,pp. 459478
Abstract pdf (375.2 Kb) 
17.Integrability and stochastic behavior in some nonholonomic dynamics problems
Russian Journal of Nonlinear Dynamics, 2013, vol. 9, no. 2,pp. 257265
Abstract pdf (2.27 Mb) 
18.The Euler–Jacobi–Lie integrability theorem
Russian Journal of Nonlinear Dynamics, 2013, vol. 9, no. 2,pp. 229245
Abstract pdf (377.18 Kb) 
19.Topological monodromy in nonholonomic systems
Russian Journal of Nonlinear Dynamics, 2013, vol. 9, no. 2,pp. 203227
Abstract pdf (890.26 Kb) 
20.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. 141202
Abstract pdf (7.91 Mb) 
21.Deviation based discrete control algorithm for omniwheeled mobile robot
Russian Journal of Nonlinear Dynamics, 2013, vol. 9, no. 1,pp. 91100
Abstract pdf (434.7 Kb) 
22.How to control the Chaplygin ball using rotors. II
Russian Journal of Nonlinear Dynamics, 2013, vol. 9, no. 1,pp. 5976
Abstract pdf (2.71 Mb) 
23.Motion control of a rigid body in viscous fluid
Computer Research and Modeling, 2013, vol. 5, no. 4,pp. 659675
Abstract pdf (359.11 Kb) 
24.Rolling of a Rigid Body Without Slipping and Spinning: Kinematics and Dynamics
Journal of Applied Nonlinear Dynamics, 2013, vol. 2, no. 2,pp. 161173
Abstract pdf (269.77 Kb)
2012

1.An extension of the HamiltonJacobi method
Doklady Mathematics, 2012, vol. 85, no. 2,pp. 301–303
Abstract 
2.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.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.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. 571579
Abstract pdf (402.12 Kb) 
5.The Bifurcation Analysis and the Conley Index in Mechanics
Regular and Chaotic Dynamics, 2012, vol. 17, no. 5,pp. 457478
Abstract pdf (614.32 Kb) 
6.How to Control Chaplygin’s Sphere Using Rotors
Regular and Chaotic Dynamics, 2012, vol. 17, no. 34,pp. 258272
Abstract pdf (242.89 Kb) 
7.Two Nonholonomic Integrable Problems Tracing Back to Chaplygin
Regular and Chaotic Dynamics, 2012, vol. 17, no. 2,pp. 191198
Abstract pdf (150.32 Kb) 
8.Generalized Chaplygin’s Transformation and Explicit Integration of a System with a Spherical Support
Regular and Chaotic Dynamics, 2012, vol. 17, no. 2,pp. 170190
Abstract pdf (484.82 Kb) 
9.On Invariant Manifolds of Nonholonomic Systems
Regular and Chaotic Dynamics, 2012, vol. 17, no. 2,pp. 131141
Abstract pdf (239.09 Kb) 
10.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. 957975
Abstract pdf (796.84 Kb) 
11.The motion of a body with variable mass geometry in a viscous fluid
Russian Journal of Nonlinear Dynamics, 2012, vol. 8, no. 4,pp. 815836
Abstract pdf (15.9 Mb) 
12.Rolling of a rigid body without slipping and spinning: kinematics and dynamics
Russian Journal of Nonlinear Dynamics, 2012, vol. 8, no. 4,pp. 783797
Abstract pdf (347.06 Kb) 
13.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. 605616
Abstract pdf (328.96 Kb) 
14.On the final motion of cylindrical solids on a rough plane
Russian Journal of Nonlinear Dynamics, 2012, vol. 8, no. 3,pp. 585603
Abstract pdf (623.55 Kb) 
15.On the Routh sphere
Russian Journal of Nonlinear Dynamics, 2012, vol. 8, no. 3,pp. 569583
Abstract pdf (299.77 Kb) 
16.An extended Hamilton–Jacobi method
Russian Journal of Nonlinear Dynamics, 2012, vol. 8, no. 3,pp. 549568
Abstract pdf (400.68 Kb) 
17.How to control the Chaplygin sphere using rotors
Russian Journal of Nonlinear Dynamics, 2012, vol. 8, no. 2,pp. 289307
Abstract pdf (400.44 Kb) 
18.The dynamics of vortex rings: Leapfrogging, choreographies and the stability problem
Russian Journal of Nonlinear Dynamics, 2012, vol. 8, no. 1,pp. 113147
Abstract pdf (1.03 Mb) 
19.The dynamics of the Chaplygin ball with a fluidfilled cavity
Russian Journal of Nonlinear Dynamics, 2012, vol. 8, no. 1,pp. 103111
Abstract pdf (305.43 Kb) 
20.On invariant manifolds of nonholonomic systems
Russian Journal of Nonlinear Dynamics, 2012, vol. 8, no. 1,pp. 5769
Abstract pdf (329.1 Kb) 
21.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. 146155
Abstract pdf (688.03 Kb) 
22.On detachment conditions of a top on an absolutely rough support
Bulletin of Udmurt University. Mathematics. Mechanics. Computer Science, 2012, no. 3,pp. 103113
Abstract pdf (292.26 Kb)
2011

1.Wigner measures on infinitedimensional spaces and the Bogolyubov equations for quantum systems
Doklady Mathematics, 2011, vol. 84, no. 1,pp. 571–575
Abstract 
2.Friction in the sense of Painlevé and Lagrangian mechanics
Doklady Mathematics, 2011, vol. 56, no. 6,pp. 355–358
Abstract 
3.

4.Problem of stability of twolink trajectories in a multidimensional Birkhoff billiard
Proceedings of the Steklov Institute of Mathematics, 2011, vol. 273,pp. 196–213
Abstract 
5.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.On the Model of Nonholonomic Billiard
Regular and Chaotic Dynamics, 2011, vol. 16, no. 6,pp. 653662
Abstract pdf (199.9 Kb) 
7.The Vlasov Kinetic Equation, Dynamics of Continuum and Turbulence
Regular and Chaotic Dynamics, 2011, vol. 16, no. 6,pp. 602622
Abstract pdf (323.98 Kb) 
8.Rolling of a Homogeneous Ball over a Dynamically Asymmetric Sphere
Regular and Chaotic Dynamics, 2011, vol. 16, no. 5,pp. 465483
Abstract pdf (643.15 Kb) 
9.Hamiltonization of Nonholonomic Systems in the Neighborhood of Invariant Manifolds
Regular and Chaotic Dynamics, 2011, vol. 16, no. 5,pp. 443464
Abstract pdf (425.83 Kb) 
10.Hamiltonicity and integrability of the Suslov problem
Regular and Chaotic Dynamics, 2011, vol. 16, no. 12,pp. 104116
Abstract pdf (239.81 Kb) 
11.An omniwheel vehicle on a plane and a sphere
Russian Journal of Nonlinear Dynamics, 2011, vol. 7, no. 4,pp. 785801
Abstract pdf (726.7 Kb) 
12.The bifurcation analysis and the Conley index in mechanics
Russian Journal of Nonlinear Dynamics, 2011, vol. 7, no. 3,pp. 649681
Abstract pdf (782.35 Kb) 
13.The Lorentz force and its generalizations
Russian Journal of Nonlinear Dynamics, 2011, vol. 7, no. 3,pp. 627634
Abstract pdf (359.22 Kb) 
14.A rigid cylinder on a viscoelastic plane
Russian Journal of Nonlinear Dynamics, 2011, vol. 7, no. 3,pp. 601625
Abstract pdf (499.7 Kb) 
15.Two nonholonomic integrable systems of coupled rigid bodies
Russian Journal of Nonlinear Dynamics, 2011, vol. 7, no. 3,pp. 559568
Abstract pdf (404.52 Kb) 
16.On V.A. Steklov’s legacy in classical mechanics
Russian Journal of Nonlinear Dynamics, 2011, vol. 7, no. 2,pp. 389403
Abstract pdf (368.21 Kb) 
17.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. 313338
Abstract pdf (1.78 Mb) 
18.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. 119138
Abstract pdf (1.2 Mb) 
19.Statistical irreversibility of the Kac reversible circular model
Russian Journal of Nonlinear Dynamics, 2011, vol. 7, no. 1,pp. 101117
Abstract pdf (419.07 Kb) 
20.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. 371381
Abstract pdf (594.85 Kb) 
21.Figures of equilibrium of liquid selfgravitating inhomogeneous mass
Bulletin of Udmurt University. Mathematics. Mechanics. Computer Science, 2011, no. 3,pp. 142153
Abstract pdf (215.68 Kb)
2010

1.Basic principles and models of dynamic advection
Doklady Physics, 2010, vol. 432, no. 1,pp. 41–44
Abstract pdf (178.99 Kb) 
2.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.On the variational principles of mechanics
Journal of Applied Mathematics and Mechanics, 2010, vol. 74, no. 5,pp. 505–512
Abstract 
4.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.Topology and stability of integrable systems
Russian Mathematical Surveys, 2010, vol. 65, no. 2,pp. 259–318
Abstract pdf (1.12 Mb) 
6.Coupled motion of a rigid body and point vortices on a twodimensional spherical surface
Regular and Chaotic Dynamics, 2010, vol. 15, no. 45,pp. 440461
Abstract pdf (298.75 Kb) 
7.Note on dry friction and nonholonomic constraints
Russian Journal of Nonlinear Dynamics, 2010, vol. 6, no. 4,pp. 903906
Abstract pdf (183.28 Kb) 
8.Reply to A. T. Fomenko's comments
Russian Journal of Nonlinear Dynamics, 2010, vol. 6, no. 4,pp. 893895
Abstract pdf (97.18 Kb) 
9.Rolling of a homogeneous ball over a dynamically asymmetric sphere
Russian Journal of Nonlinear Dynamics, 2010, vol. 6, no. 4,pp. 869889
Abstract pdf (486.45 Kb) 
10.Lagrangian mechanics and dry friction
Russian Journal of Nonlinear Dynamics, 2010, vol. 6, no. 4,pp. 855868
Abstract pdf (265.11 Kb) 
11.Hamiltonisation of nonholonomic systems in the neighborhood of invariant manifolds
Russian Journal of Nonlinear Dynamics, 2010, vol. 6, no. 4,pp. 829854
Abstract pdf (398.78 Kb) 
12.Stability of a liquid selfgravitating elliptic cylinder with intrinsic rotation
Russian Journal of Nonlinear Dynamics, 2010, vol. 6, no. 4,pp. 807822
Abstract pdf (902.16 Kb) 
13.Dynamic advection
Russian Journal of Nonlinear Dynamics, 2010, vol. 6, no. 3,pp. 521530
Abstract pdf (10.3 Mb) 
14.The Vlasov kinetic equation, dynamics of continuum and turbulence
Russian Journal of Nonlinear Dynamics, 2010, vol. 6, no. 3,pp. 489512
Abstract pdf (276.41 Kb) 
15.Valery Vasilievich Kozlov. On his 60th birthday
Russian Journal of Nonlinear Dynamics, 2010, vol. 6, no. 3,pp. 461488
Abstract pdf (25.39 Mb) 
16.On the model of nonholonomic billiard
Russian Journal of Nonlinear Dynamics, 2010, vol. 6, no. 2,pp. 373385
Abstract pdf (237.96 Kb) 
17.Problems of stability and asymptotic behavior of vortex patches on the plane
Russian Journal of Nonlinear Dynamics, 2010, vol. 6, no. 2,pp. 327343
Abstract pdf (685.19 Kb) 
18.Hamiltonian representation and integrability of the Suslov problem
Russian Journal of Nonlinear Dynamics, 2010, vol. 6, no. 1,pp. 127142
Abstract pdf (654.76 Kb) 
19.Construction of bifurcation diagram and analysis of stability of selfgravitating fluid elliptical cylinder with internal flow
Bulletin of Udmurt University. Mathematics. Mechanics. Computer Science, 2010, no. 4,pp. 7786
Abstract pdf (588.63 Kb) 
20.Dynamics of a wheeled carriage on a plane
Bulletin of Udmurt University. Mathematics. Mechanics. Computer Science, 2010, no. 4,pp. 3948
Abstract pdf (385.82 Kb) 
21.Lyapunov A.M. Works on theoretical mechanics. From the 18821894 handwritten heritage
Izhevsk: Regular and Chaotic Dynamics, 2010,pp. 620
Abstract pdf (174.49 Kb)
2009

1.On the stabilization of unstable equilibria by timeperiodic gyroscopic forces
Doklady Mathematics, 2009, vol. 54, no. 12,pp. 561–562
Abstract 
2.Kelvin's instability theorem: Topological meaning and generalizations
Doklady Mathematics, 2009, vol. 79, no. 1,pp. 25–28
Abstract pdf (279.94 Kb) 
3.The dynamics of a Chaplygin sleigh
Journal of Applied Mathematics and Mechanics, 2009, vol. 73, no. 2,pp. 156161
Abstract pdf (263.77 Kb) 
4.The Steklov Mathematical Institute has turned 75 years old
Russian Mathematical Surveys, 2009, vol. 64, no. 4,pp. 757–768
Abstract pdf (724.87 Kb) 
5.On the mechanism of stability loss
Differential Equations, 2009, vol. 45, no. 4,pp. 510–519
Abstract pdf (316.78 Kb) 
6.Superintegrable system on a sphere with the integral of higher degree
Regular and Chaotic Dynamics, 2009, vol. 14, no. 6,pp. 615620
Abstract pdf (125.27 Kb) 
7.Kinetics of collisionless gas: Equalization of temperature, growth of the coarsegrained entropy and the Gibbs paradox
Regular and Chaotic Dynamics, 2009, vol. 14, no. 45,pp. 535540
Abstract pdf (172.17 Kb) 
8.Isomorphisms of geodesic flows on quadrics
Regular and Chaotic Dynamics, 2009, vol. 14, no. 45,pp. 455465
Abstract pdf (376.58 Kb) 
9.The Hamiltonian Dynamics of Selfgravitating Liquid and Gas Ellipsoids
Regular and Chaotic Dynamics, 2009, vol. 14, no. 2,pp. 179217
Abstract pdf (885.59 Kb) 
10.Multiparticle Systems. The Algebra of Integrals and Integrable Cases
Regular and Chaotic Dynamics, 2009, vol. 14, no. 1,pp. 1841
Abstract pdf (472.45 Kb) 
11.New superintegrable system on a sphere
Russian Journal of Nonlinear Dynamics, 2009, vol. 5, no. 4,pp. 455462
Abstract pdf (214.58 Kb) 
12.Statistical mechanics of nonlinear dynamical systems
Russian Journal of Nonlinear Dynamics, 2009, vol. 5, no. 3,pp. 385402
Abstract pdf (896.55 Kb) 
13.Kinetics of collisionless gas: equalization of temperature, growth of the coarsegrained entropy and the Gibbs paradox
Russian Journal of Nonlinear Dynamics, 2009, vol. 5, no. 3,pp. 377383
Abstract pdf (208.37 Kb) 
14.Coupled motion of a rigid body and point vortices on a sphere
Russian Journal of Nonlinear Dynamics, 2009, vol. 5, no. 3,pp. 319343
Abstract pdf (429.33 Kb) 
15.Isomorphisms of geodesic flows on quadrics
Russian Journal of Nonlinear Dynamics, 2009, vol. 5, no. 2,pp. 145158
Abstract pdf (532.83 Kb) 
16.The Jacobi problem on a plane
Russian Journal of Nonlinear Dynamics, 2009, vol. 5, no. 1,pp. 8386
Abstract pdf (137.41 Kb) 
17.Multiparticle Systems. The Algebra of Integrals and Integrable Cases
Russian Journal of Nonlinear Dynamics, 2009, vol. 5, no. 1,pp. 5382
Abstract pdf (508.81 Kb) 
18.Generalized model of kinetics of formation of a new phase
Bulletin of Udmurt University. Mathematics. Mechanics. Computer Science, 2009, no. 2,pp. 110117
Abstract pdf (724.17 Kb)
2008

1.Explicit integration of one problem in nonholonomic mechanics
Doklady Physics, 2008, vol. 53, no. 10,pp. 525528
Abstract pdf (229.05 Kb) 
2.Gyroscopic stabilization of degenerate equilibria and the topology of real algebraic varieties
Doklady Mathematics, 2008, vol. 77, no. 3,pp. 412–415
Abstract pdf (178.12 Kb) 
3.Novikov day at the Mathematical Institute
Russian Mathematical Surveys, 2008, vol. 63, no. 6,pp. 995–997
Abstract pdf (251.64 Kb) 
4.The generalized Vlasov kinetic equation
Russian Mathematical Surveys, 2008, vol. 63, no. 4,pp. 691–726
Abstract pdf (719.96 Kb) 
5.On the instability of equilibria of conservative systems under typical degenerations
Differential Equations, 2008, vol. 44, no. 8,pp. 1064–1071
Abstract pdf (285.36 Kb) 
6.Topology of Real Algebraic Curves
Functional Analysis and Its Applications, 2008, vol. 42, no. 2,pp. 98–102
Abstract pdf (117.67 Kb) 
7.Chaplygin ball over a fixed sphere: an explicit integration
Regular and Chaotic Dynamics, 2008, vol. 13, no. 6,pp. 557571
Abstract pdf (282.96 Kb) 
8.Conservation Laws, Hierarchy of Dynamics and Explicit Integration of Nonholonomic Systems
Regular and Chaotic Dynamics, 2008, vol. 13, no. 5,pp. 443490
Abstract pdf (508.23 Kb) 
9.Gauss Principle and Realization of Constraints
Regular and Chaotic Dynamics, 2008, vol. 13, no. 5,pp. 431434
Abstract pdf (144.15 Kb) 
10.Stability of Steady Rotations in the Nonholonomic Routh Problem
Regular and Chaotic Dynamics, 2008, vol. 13, no. 4,pp. 239249
Abstract pdf (392.42 Kb) 
11.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. 221233
Abstract pdf (491.62 Kb) 
12.Absolute and Relative Choreographies in Rigid Body Dynamics
Regular and Chaotic Dynamics, 2008, vol. 13, no. 3,pp. 204220
Abstract pdf (447.19 Kb) 
13.Gibbs Ensembles, Equidistribution of the Energy of Sympathetic Oscillators and Statistical Models of Thermostat
Regular and Chaotic Dynamics, 2008, vol. 13, no. 3,pp. 141154
Abstract pdf (192.61 Kb) 
14.Lagrange’s Identity and Its Generalizations
Regular and Chaotic Dynamics, 2008, vol. 13, no. 2,pp. 7180
Abstract pdf (144.77 Kb) 
15.Algebraic reduction of systems on two and threedimensional spheres
Russian Journal of Nonlinear Dynamics, 2008, vol. 4, no. 4,pp. 407416
Abstract pdf (180.6 Kb) 
16.Hamiltonian Dynamics of Liquid and Gas SelfGravitating Ellipsoids
Russian Journal of Nonlinear Dynamics, 2008, vol. 4, no. 4,pp. 363406
Abstract pdf (994.54 Kb) 
17.Gauss Principle and Realization of Constraints
Russian Journal of Nonlinear Dynamics, 2008, vol. 4, no. 3,pp. 281285
Abstract pdf (78.44 Kb) 
18.Conservation Laws, Hierarchy of Dynamics and Explicit Integration of Nonholonomic Systems
Russian Journal of Nonlinear Dynamics, 2008, vol. 4, no. 3,pp. 223280
Abstract pdf (634.39 Kb) 
19.Lagrange’s identity and its generalizations
Russian Journal of Nonlinear Dynamics, 2008, vol. 4, no. 2,pp. 157168
Abstract pdf (128.42 Kb) 
20.Generalization of Lagrange’s identity and new integrals of motion
Bulletin of Udmurt University. Mathematics. Mechanics. Computer Science, 2008, no. 3,pp. 6974
Abstract pdf (154.14 Kb) 
21.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) 
22.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) 
23.Several problems on dynamical systems and mechanics
Nonlinearity, 2008, vol. 21, no. 9,pp. T149–T155
Abstract pdf (79.46 Kb)
2007

1.Statistical properties of billiards in polytopes
Doklady Mathematics, 2007, vol. 76, no. 2,pp. 696–699
Abstract pdf (169.48 Kb) 
2.Euler and mathematical methods in mechanics (on the 300th anniversary of the birth of Leonhard Euler)
Russian Mathematical Surveys, 2007, vol. 62, no. 4,pp. 639–661
Abstract pdf (425.6 Kb) 
3.Isomorphism and Hamilton representation of some nonholonomic systems
Siberian Mathematical Journal, 2007, vol. 48, no. 1,pp. 2636
Abstract pdf (154.1 Kb) 
4.Asymptotic stability and associated problems of dynamics of falling rigid body
Regular and Chaotic Dynamics, 2007, vol. 12, no. 5,pp. 531565
Abstract pdf (1.81 Mb) 
5.Rolling of a Nonhomogeneous Ball Over a Sphere Without Slipping and Twisting
Regular and Chaotic Dynamics, 2007, vol. 12, no. 2,pp. 153159
Abstract pdf (189.47 Kb) 
6.Interaction between Kirchhoff vortices and point vortices in an ideal fluid
Regular and Chaotic Dynamics, 2007, vol. 12, no. 1,pp. 6880
Abstract pdf (358.32 Kb) 
7.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. 411422
Abstract pdf (182.63 Kb) 
8.Asymptotic stability and associated problems of dynamics of falling rigid body
Russian Journal of Nonlinear Dynamics, 2007, vol. 3, no. 3,pp. 255296
Abstract pdf (1.62 Mb) 
9.A New Integrable Problem of Motion of Point Vortices on the Sphere
Russian Journal of Nonlinear Dynamics, 2007, vol. 3, no. 2,pp. 211223
Abstract pdf (298.41 Kb) 
10.Gibbs Ensembles, Equidistribution of the Energy of Sympathetic Oscillators and Statistical Models of Thermostat
Russian Journal of Nonlinear Dynamics, 2007, vol. 3, no. 2,pp. 123140
Abstract pdf (263.66 Kb) 
11.On isomorphisms of some integrable systems on a plane and a sphere
Russian Journal of Nonlinear Dynamics, 2007, vol. 3, no. 1,pp. 4956
Abstract pdf (166.52 Kb) 
12.Dynamic Interaction of Point Vortices and a TwoDimensional Cylinder
Journal of Mathematical Physics, 2007, vol. 48, no. 6, 065403,9 pp.
Abstract pdf (126.99 Kb) 
13.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) 
14.Dynamics of Two Interacting Circular Cylinders in Perfect Fluid
Discrete and Continuous Dynamical Systems  Series A, 2007, vol. 19, no. 2,pp. 235253
Abstract pdf (350.69 Kb)
2006

1.New effects in dynamics of rattlebacks
Doklady Physics, 2006, vol. 408, no. 2,pp. 192195
Abstract pdf (214.19 Kb) 
2.Transition to chaos in dynamics of four point vortices on a plane
Doklady Physics, 2006, vol. 51, no. 5,pp. 262267
Abstract pdf (249.72 Kb) 
3.Motion of Chaplygin ball on an inclined plane
Doklady Physics, 2006, vol. 51, no. 2,pp. 7376
Abstract pdf (212.42 Kb) 
4.An Integrable System with a Nonintegrable Constraint
Mathematical Notes, 2006, vol. 80, no. 1,pp. 127130
Abstract pdf (98.56 Kb) 
5.On a Nonholonomic Dynamical Problem
Mathematical Notes, 2006, vol. 79, no. 5,pp. 734740
Abstract pdf (189.22 Kb) 
6.On the problem of motion of vortex sources on a plane
Regular and Chaotic Dynamics, 2006, vol. 11, no. 4,pp. 455466
Abstract pdf (377.53 Kb) 
7.Rolling of a heterotgeneous ball over a sphere without sliding and spinning
Russian Journal of Nonlinear Dynamics, 2006, vol. 2, no. 4,pp. 445452
Abstract pdf (162.92 Kb) 
8.Vorticity equation of 2Dhydrodynamics, Vlasov steadystate kinetic equation and developed turbulence
Russian Journal of Nonlinear Dynamics, 2006, vol. 2, no. 4,pp. 425434
Abstract pdf (152.1 Kb) 
9.Stability of steady rotations in the nonholonomic Routh problem
Russian Journal of Nonlinear Dynamics, 2006, vol. 2, no. 3,pp. 333345
Abstract pdf (398.23 Kb) 
10.Reduction in the twobody problem on the Lobatchevsky plane
Russian Journal of Nonlinear Dynamics, 2006, vol. 2, no. 3,pp. 279285
Abstract pdf (148.66 Kb) 
11.Interaction between Kirchhoff vortices and point vortices in an ideal fluid
Russian Journal of Nonlinear Dynamics, 2006, vol. 2, no. 2,pp. 199213
Abstract pdf (535.61 Kb) 
12.New integral in nonholonomic PainleveChaplygin problem
Russian Journal of Nonlinear Dynamics, 2006, vol. 2, no. 2,pp. 193198
Abstract pdf (132.6 Kb) 
13.Dynamics of two vortex rings on a sphere
Russian Journal of Nonlinear Dynamics, 2006, vol. 2, no. 2,pp. 181192
Abstract pdf (321.21 Kb) 
14.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) 
15.The restricted twobody problem in constant curvature spaces
Celestial Mechanics and Dynamical Astronomy, 2006, vol. 96, no. 1,pp. 117
Abstract pdf (479.18 Kb) 
16.Classification of BirkhoffIntegrable generalized Toda lattices
in "Topological Methods in the Theory of Integrable Systems", Cambridge: Cambridge Scientific Publishers Ltd., 2006,pp. 6979
Abstract pdf (560.25 Kb)
2005

1.To the piston problem
Doklady Mathematics, 2005, vol. 72, no. 1,pp. 634–637
Abstract pdf (188.72 Kb) 
2.Remarks on eigenvalues of real matrices
Doklady Mathematics, 2005, vol. 72, no. 1,pp. 567–569
Abstract pdf (186.42 Kb) 
3.Topological obstructions to the existence of quantum conservation laws
Doklady Mathematics, 2005, vol. 71, no. 2,pp. 300–302
Abstract pdf (138.71 Kb) 
4.Absolute and Relative Choreographies in the Problem of the Motion of Point Vortices in a Plane
Doklady Physics, 2005, vol. 71, no. 1,pp. 139144
Abstract pdf (168.54 Kb) 
5.Weighted Means, Strict Ergodicity, and Uniform Distributions
Mathematical Notes, 2005, vol. 78, no. 3,pp. 329–337
Abstract pdf (155.58 Kb) 
6.The Nonexistence of an Invariant Measure for an Inhomogeneous Ellipsoid Rolling on a Plane
Mathematical Notes, 2005, vol. 77, no. 6,pp. 855857
Abstract pdf (74.38 Kb) 
7.Weighted averages, uniform distribution, and strict ergodicity
Russian Mathematical Surveys, 2005, vol. 60, no. 6,pp. 1121–1146
Abstract pdf (293.33 Kb) 
8.Remarks on a Lie theorem on the exact integrability of differential equations
Differential Equations, 2005, vol. 41, no. 4,pp. 588–590
Abstract pdf (85.01 Kb) 
9.Restrictions of Quadratic Forms to Lagrangian Planes, Quadratic Matrix Equations, and Gyroscopic Stabilization
Functional Analysis and Its Applications, 2005, vol. 39, no. 4,pp. 271–283
Abstract pdf (170.93 Kb) 
10.Superintegrable systems on a sphere
Regular and Chaotic Dynamics, 2005, vol. 10, no. 3,pp. 257266
Abstract pdf (312.81 Kb) 
11.Reduction and chaotic behavior of point vortices on a plane and a sphere
Russian Journal of Nonlinear Dynamics, 2005, vol. 1, no. 2,pp. 233246
Abstract pdf (473.55 Kb) 
12.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. 191207
Abstract pdf (650.7 Kb) 
13.Absolute and relative choreographies in rigid body dynamics
Russian Journal of Nonlinear Dynamics, 2005, vol. 1, no. 1,pp. 123141
Abstract pdf (401.63 Kb) 
14.Interaction of two circular cylinders in a perfect fluid
Russian Journal of Nonlinear Dynamics, 2005, vol. 1, no. 1,pp. 321
Abstract pdf (401.14 Kb) 
15.Dynamics of a circular cylinder interacting with point vortices
Discrete and Continuous Dynamical Systems  Series B, 2005, vol. 5, no. 1,pp. 3550
Abstract pdf (210.01 Kb) 
16.Generalized problem of two and four Newtonian centers
Celestial Mechanics and Dynamical Astronomy, 2005, vol. 92, no. 4,pp. 371380
Abstract pdf (291.25 Kb) 
17.