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2022

  • 1.

    Bizyaev I. A., Mamaev I. S.

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

    Artemova E. M., Vetchanin E. V.

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

    Kozlov V. V.

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

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

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

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

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

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

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

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

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

    Kilin A. A., Pivovarova E. N.

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

2021

  • 9.

    Bizyaev I. A., Mamaev I. S.

    Qualitative Analysis of the Dynamics of a Balanced Circular Foil and a Vortex
    Regular and Chaotic Dynamics, 2021, vol. 26, no. 6, pp. 658-674
    Abstract          pdf  (1.34 Mb)
  • 10.

    Kilin A. A., Pivovarova E. N.

    A Particular Integrable Case in the Nonautonomous Problem of a Chaplygin Sphere Rolling on a Vibrating Plane
    Regular and Chaotic Dynamics, 2021, vol. 26, no. 6, pp. 775-786
    Abstract          pdf  (679.77 Kb)
  • 11.

    Kozlov V. V.

    Integrals of Circulatory Systems Which are Quadratic in Momenta
    Regular and Chaotic Dynamics, 2021, vol. 26, no. 6, pp. 647-657
    Abstract          pdf  (374.52 Kb)
  • 12.

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

    Criteria of Motion Without Slipping for an Omnidirectional Mobile Robot
    Russian Journal of Nonlinear Dynamics, 2021, vol. 17, no. 4, pp. 527-546
    Abstract          pdf  (1.24 Mb)
  • 13.

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

    The Problem of Balancing an Inverted Spherical Pendulum on an Omniwheel Platform
    Russian Journal of Nonlinear Dynamics, 2021, vol. 17, no. 4, pp. 507-525
    Abstract          pdf  (501.49 Kb)
  • 14.

    Kilin A. A., Pivovarova E. N.

    Conservation laws for a spherical top on a plane with friction
    International Journal of Non-Linear Mechanics, 2021, vol. 129, 103666, 5 pp.
    Abstract          pdf  (353.6 Kb)
  • 15.

    Kilin A. A., Pivovarova E. N.

    The influence of the first integrals and the rolling resistance model on tippe top inversion
    Nonlinear Dynamics, 2021, vol. 103, no. 1, pp. 419-428
    Abstract          pdf  (494.9 Kb)
  • 16.

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

    Normal forms and averaging in an acceleration problem in nonholonomic mechanics
    Chaos, 2021, vol. 31, 013132, 16 pp.
    Abstract          pdf  (1.05 Mb)
  • 17.

    Mamaev I. S., Bizyaev I. A.

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

    Artemova E. M., Vetchanin E. V.

    The motion of an unbalanced circular foil in the field of a point source
    arXiv:2109.13041, 2021, 21 pp.
    Abstract          pdf  (784.71 Kb)
  • 19.

    Artemova E. M., Kilin A. A.

    Nonlinear stability of regular vortex polygons in a Bose – Einstein condensate
    Physics of Fluids, 2021, vol. 33, no. 12, 127105, 7 pp.
    Abstract          pdf  (610.67 Kb)
  • 20.

    Kilin A. A., Pivovarova E. N.

    Separatrix splitting in the problem of a spherical top rolling on a vertically vibrating plane
    2021 International Conference ''Nonlinearity, Information and Robotics'' – IEEE, 2021, pp. 1-7
    Abstract          pdf  (135.06 Kb)
  • 21.

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

    Influence of the design features of omni-wheeled mobile robots on the possibility of motion without slipping
    2021 International Conference ''Nonlinearity, Information and Robotics'' – IEEE, 2021, pp. 1-4
    Abstract          pdf  (187.28 Kb)
  • 22.

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

    Design and control for the underwater robot with internal rotor
    2021 International Conference ''Nonlinearity, Information and Robotics'' – IEEE, 2021, pp. 1-5
    Abstract          pdf  (139.59 Kb)
  • 23.

    Vetchanin E. V.

    Calculation of instability regions of the Liouville problem based on the harmonic balance method
    2021 International Conference ''Nonlinearity, Information and Robotics'' – IEEE, 2021, pp. 1-5
    Abstract          pdf  (117.07 Kb)
  • 24.

    Ardentov A. A., Yefremov K. S.

    Automatic reparking of the robot trailer along suboptimal paths
    2021 International Conference ''Nonlinearity, Information and Robotics'' – IEEE, 2021, pp. 1-5
    Abstract          pdf  (391.66 Kb)
  • 25.

    Artemova E. M., Kilin A. A.

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

2020

  • 26.

    Bizyaev I. A., Mamaev I. S.

    Separatrix splitting and nonintegrability in the nonholonomic rolling of a generalized Chaplygin sphere
    International Journal of Non-Linear Mechanics, 2020, vol. 126, 103550, 7 pp.
    Abstract          pdf  (2.22 Mb)
  • 27.

    Kilin A. A., Artemova E. M.

    Stability of regular vortex polygons in Bose–Einstein condensate
    Izvestiya Instituta Matematiki i Informatiki Udmurtskogo Gosudarstvennogo Universiteta, 2020, vol. 56, pp. 20-29
    Abstract          pdf  (185 Kb)
  • 28.

    Klekovkin A. V.

    Simulation of the motion of a propellerless mobile robot controlled by rotation of the internal rotor
    Bulletin of Udmurt University. Mathematics. Mechanics. Computer Science, 2020, vol. 30, no. 4, pp. 645-656
    Abstract          pdf  (210.33 Kb)
  • 29.

    Kilin A. A., Pivovarova E. N.

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

    Bizyaev I. A., Mamaev I. S.

    Dynamics of a pair of point vortices and a foil with parametric excitation in an ideal fluid
    Bulletin of Udmurt University. Mathematics. Mechanics. Computer Science, 2020, vol. 30, no. 4, pp. 618-627
    Abstract          pdf  (553.19 Kb)
  • 31.

    Artemova E. M., Vetchanin E. V.

    Control of the motion of a circular cylinder in an ideal fluid using a source
    Bulletin of Udmurt University. Mathematics. Mechanics. Computer Science, 2020, vol. 30, no. 4, pp. 604-617
    Abstract          pdf  (356.62 Kb)
  • 32.

    Kilin A. A., Pivovarova E. N.

    Stability and Stabilization of Steady Rotations of a Spherical Robot on a Vibrating Base
    Regular and Chaotic Dynamics, 2020, vol. 25, no. 6, pp. 729-752
    Abstract          pdf  (1.62 Mb)
  • 33.

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

    Dynamics of a Spherical Robot with Variable Moments of Inertia and a Displaced Center of Mass
    Regular and Chaotic Dynamics, 2020, vol. 25, no. 6, pp. 689-706
    Abstract          pdf  (950.79 Kb)
  • 34.

    Kozlov V. V.

    Nonequilibrium Statistical Mechanics of Weakly Ergodic Systems
    Regular and Chaotic Dynamics, 2020, vol. 25, no. 6, pp. 674-688
    Abstract          pdf  (431.27 Kb)
  • 35.

    Mamaev I. S., Vetchanin E. V.

    Dynamics of Rubber Chaplygin Sphere under Periodic Control
    Regular and Chaotic Dynamics, 2020, vol. 25, no. 2, pp. 215-236
    Abstract          pdf  (4.03 Mb)
  • 36.

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

    Circular orbits of a ball on a rotating conical turntable
    Acta Mechanica, 2020, vol. 231, no. 3, pp. 1021–1028
    Abstract          pdf  (323.69 Kb)
  • 37.

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

    Motion of a Smooth Foil in a Fluid under the Action of External Periodic Forces. II
    Russian Journal of Mathematical Physics, 2020, vol. 27, no. 1, pp. 1-17
    Abstract          pdf  (1.98 Mb)
  • 38.

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

    Verifying the Performance Characteristics of the (micro) Robotic Devices
    Russian Journal of Nonlinear Dynamics, 2020, vol. 16, no. 1, pp. 161-172
    Abstract          pdf  (2.54 Mb)
  • 39.

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

    Neural network control of a wheeled mobile robot based on optimal trajectories
    International Journal of Advanced Robotic Systems, 2020, pp. 1-10
    Abstract          pdf  (911.75 Kb)
  • 40.

    Bizyaev I. A., Mamaev I. S.

    Dynamics of the nonholonomic Suslov problem under periodic control: unbounded speedup and strange attractors
    Journal of Physics A: Mathematical and Theoretical, 2020, vol. 53, 185701, 17 pp.
    Abstract          pdf  (1.24 Mb)
  • 41.

    Ivanova T. B.

    Non-holonomic rolling of a ball on the surface of a rotating cylinder
    ZAMM - Zeitschrift fur Angewandte Mathematik und Mechanik, 2020, vol. 100, no. 12, e202000067, 13 pp.
    Abstract          pdf  (476.51 Kb)
  • 42.

    Vetchanin E. V., Mamaev I. S.

    Asymptotic behavior in the dynamics of a smooth body in an ideal fluid
    Acta Mechanica, 2020, vol. 231, pp. 4529-4535
    Abstract          pdf  (519.06 Kb)
  • 43.

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

    Spherical rolling robots: Different designs and control algorithms
    Robots in Human Life: Proceedings of the 23rd International Conference on Climbing and Walking Robots and the Support Technologies for Mobile Machines, CLAWAR 2020, 2020, pp. 195-202
    Abstract          pdf  (415.75 Kb)
  • 44.

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

    Propellerless aquatic robots
    Robots in Human Life: Proceedings of the 23rd International Conference on Climbing and Walking Robots and the Support Technologies for Mobile Machines, CLAWAR 2020, 2020, pp. 404-411
    Abstract          pdf  (633.84 Kb)
  • 45.

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

    Controlled motion of a highly maneuverable mobile robot along curvilinear trajectories
    2020 International Conference Nonlinearity, Information and Robotics – IEEE, 2020, pp. 1-4
    Abstract          pdf  (3.15 Mb)
  • 46.

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

    Stabilization of a spherical robot rolling on an oscillating underlying surface
    2020 International Conference Nonlinearity, Information and Robotics – IEEE, 2020, pp. 1-2
    Abstract          pdf  (1.09 Mb)
  • 47.

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

    Theoretical and experimental investigations of the controlled motion of the Roller Racer
    2020 International Conference Nonlinearity, Information and Robotics – IEEE, 2020, pp. 1-5
    Abstract          pdf  (408.24 Kb)
  • 48.

    Mamaev I. S., Vetchanin E. V.

    Dynamics of a spherical robot with periodically changing moments of inertia
    2020 International Conference Nonlinearity, Information and Robotics – IEEE, 2020, pp. 1-5
    Abstract          pdf  (310.64 Kb)
  • 49.

    Mamaev I. S., Bizyaev I. A.

    Dynamics of point vortices and a cylinder in an ideal fluid
    2020 International Conference Nonlinearity, Information and Robotics – IEEE, 2020, pp. 1-3
    Abstract          pdf  (241.98 Kb)
  • 50.

    Artemova E. M., Kilin A. A.

    An integrable case in the dynamics of a three-link vehicle
    2020 International Conference Nonlinearity, Information and Robotics – IEEE, 2020, pp. 1-6
    Abstract          pdf  (1.17 Mb)
  • 51.

    Vetchanin E. V.

    Stabilization of rotations of a rigid body with a fixed point by periodic perturbations
    2020 International Conference Nonlinearity, Information and Robotics – IEEE, 2020, pp. 1-5
    Abstract          pdf  (1.06 Mb)
  • 52.

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

    Experimental evaluation of simplified physical model for control of aquatic robot with internal rotor
    2020 International Conference Nonlinearity, Information and Robotics – IEEE, 2020, pp. 1-2
    Abstract          pdf  (330.17 Kb)
  • 53.

    Artemova E. M., Kilin A. A.

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

2019

  • 54.

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

    Speedup of the Chaplygin Top by Means of Rotors
    Doklady Physics, 2019, vol. 64, no. 3, pp. 120-124
    Abstract          pdf  (486.65 Kb)
  • 55.

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

    Different Models of Rolling for a Robot Ball on a Plane as a Generalization of the Chaplygin Ball Problem
    Regular and Chaotic Dynamics, 2019, vol. 24, no. 5, pp. 560-582
    Abstract          pdf  (1.93 Mb)
  • 56.

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

    Euler Elasticas for Optimal Control of the Motion of Mobile Wheeled Robots: the Problem of Experimental Realization
    Regular and Chaotic Dynamics, 2019, vol. 24, no. 3, pp. 312-328
    Abstract          pdf  (2.58 Mb)
  • 57.

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

    A Parabolic Chaplygin Pendulum and a Paul Trap: Nonintegrability, Stability, and Boundedness
    Regular and Chaotic Dynamics, 2019, vol. 24, no. 3, pp. 329-352
    Abstract          pdf  (1.48 Mb)
  • 58.

    Kilin A. A., Pivovarova E. N.

    Qualitative Analysis of the Nonholonomic Rolling of a Rubber Wheel with Sharp Edges
    Regular and Chaotic Dynamics, 2019, vol. 24, no. 2, pp. 212-233
    Abstract          pdf  (883.49 Kb)
  • 59.

    Kilin A. A., Artemova E. M.

    Integrability and Chaos in Vortex Lattice Dynamics
    Regular and Chaotic Dynamics, 2019, vol. 24, no. 1, pp. 101-113
    Abstract          pdf  (1.61 Mb)
  • 60.

    Kozlov V. V.

    Isoperimetric Inequalities for Moments of Inertia and Stability of Stationary Motions of a Flexible Thread
    Russian Journal of Nonlinear Dynamics, 2019, vol. 15, no. 4, pp. 513-523
    Abstract          pdf  (252.39 Kb)
  • 61.

    Karavaev Y. L., Kilin A. A.

    The Dynamics of a Spherical Robot of Combined Type by Periodic Control Actions
    Russian Journal of Nonlinear Dynamics, 2019, vol. 15, no. 4, pp. 497-504
    Abstract          pdf  (528.42 Kb)
  • 62.

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

    Experimental Investigations of the Control Algorithm of a Mobile Manipulation Robot
    Russian Journal of Nonlinear Dynamics, 2019, vol. 15, no. 4, pp. 487-495
    Abstract          pdf  (1.23 Mb)
  • 63.

    Vetchanin E. V., Mikishanina E. A.

    Vibrational Stability of Periodic Solutions of the Liouville Equations
    Russian Journal of Nonlinear Dynamics, 2019, vol. 15, no. 3, pp. 351-363
    Abstract          pdf  (775.13 Kb)
  • 64.

    Ivanova T. B.

    The Rolling of a Homogeneous Ball with Slipping on a Horizontal Rotating Plane
    Russian Journal of Nonlinear Dynamics, 2019, vol. 15, no. 2, pp. 171-178
    Abstract          pdf  (443.65 Kb)
  • 65.

    Vetchanin E. V.

    The Motion of a Balanced Circular Cylinder in an Ideal Fluid Under the Action of External Periodic Force and Torque
    Russian Journal of Nonlinear Dynamics, 2019, vol. 15, no. 1, pp. 41-57
    Abstract          pdf  (408.7 Kb)
  • 66.

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

    The Chaplygin sleigh with friction moving due to periodic oscillations of an internal mass
    Nonlinear Dynamics, 2019, vol. 95, no. 1, pp. 699-714
    Abstract          pdf  (2.97 Mb)
  • 67.

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

    Controlled Motion of a Spherical Robot with Feedback. II
    Journal of Dynamical and Control Systems, 2019, vol. 25, no. 1, pp. 1-16
    Abstract          pdf  (803.07 Kb)
  • 68.

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

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

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

    Invariant Submanifolds of Genus 5 and a Cantor Staircase in the Nonholonomic Model of a Snakeboard
    International Journal of Bifurcation and Chaos, 2019, vol. 29, no. 3, 1930008, 19 pp.
    Abstract          pdf  (2.79 Mb)
  • 70.

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

    Fermi-like acceleration and power-law energy growth in nonholonomic systems
    Nonlinearity, 2019, vol. 32, pp. 3209-3233
    Abstract          pdf  (974.09 Kb)
  • 71.

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

    Nonholonomic rolling of a ball on the surface of a rotating cone
    Nonlinear Dynamics, 2019, vol. 97, no. 2, pp. 1635-1648
    Abstract          pdf  (1.04 Mb)
  • 72.

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

    Comment on “Confining rigid balls by mimicking quadrupole ion trapping” [Am. J. Phys. 85, 821 (2017)]
    American Journal of Physics, 2019, vol. 87, no. 11, pp. 935-938
    Abstract          pdf  (2.18 Mb)
  • 73.

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

    Dynamics of a Chaplygin sleigh with an unbalanced rotor: regular and chaotic motions
    Nonlinear Dynamics, 2019, vol. 98, pp. 2277-2291
    Abstract          pdf  (829 Kb)
  • 74.

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

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

2018

  • 75.

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

    Control of the Rolling Motion of a Spherical Robot on an Inclined Plane
    Doklady Physics, 2018, vol. 63, no. 10, pp. 435-440
    Abstract          pdf  (509.36 Kb)
  • 76.

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

    Controlled Motion of a Spherical Robot of Pendulum Type on an Inclined Plane
    Doklady Physics, 2018, vol. 63, no. 7, pp. 302-306
    Abstract          pdf  (568.83 Kb)
  • 77.

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

    Reduction and relative equilibria for the two-body problem on spaces of constant curvature
    Celestial Mechanics and Dynamical Astronomy, 2018, vol. 130, no. 6, pp. 1-36
    Abstract          pdf  (1.38 Mb)
  • 78.

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

    Self-propulsion of a Smooth Body in a Viscous Fluid Under Periodic Oscillations of a Rotor and Circulation
    Regular and Chaotic Dynamics, 2018, vol. 23, no. 7-8, pp. 850-874
    Abstract          pdf  (4.03 Mb)
  • 79.

    Mamaev I. S., Vetchanin E. V.

    The Self-propulsion of a Foil with a Sharp Edge in a Viscous Fluid Under the Action of a Periodically Oscillating Rotor
    Regular and Chaotic Dynamics, 2018, vol. 23, no. 7-8, pp. 875-886
    Abstract          pdf  (1.64 Mb)
  • 80.

    Kilin A. A., Pivovarova E. N.

    Integrable Nonsmooth Nonholonomic Dynamics of a Rubber Wheel with Sharp Edges
    Regular and Chaotic Dynamics, 2018, vol. 23, no. 7-8, pp. 887-907
    Abstract          pdf  (2.02 Mb)
  • 81.

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

    Exotic Dynamics of Nonholonomic Roller Racer with Periodic Control
    Regular and Chaotic Dynamics, 2018, vol. 23, no. 7-8, pp. 983-994
    Abstract          pdf  (1.99 Mb)
  • 82.

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

    An Invariant Measure and the Probability of a Fall in the Problem of an Inhomogeneous Disk Rolling on a Plane
    Regular and Chaotic Dynamics, 2018, vol. 23, no. 6, pp. 665-684
    Abstract          pdf  (662.06 Kb)
  • 83.

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

    Three Vortices in Spaces of Constant Curvature: Reduction, Poisson Geometry, and Stability
    Regular and Chaotic Dynamics, 2018, vol. 23, no. 5, pp. 613-636
    Abstract          pdf  (3.34 Mb)
  • 84.

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

    Dynamics of a Smooth Profile in a Medium with Friction in the Presence of Parametric Excitation
    Regular and Chaotic Dynamics, 2018, vol. 23, no. 4, pp. 480-502
    Abstract          pdf  (2.88 Mb)
  • 85.

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

    A Nonholonomic Model of the Paul Trap
    Regular and Chaotic Dynamics, 2018, vol. 23, no. 3, pp. 339-354
    Abstract          pdf  (6.87 Mb)
  • 86.

    Kozlov V. V.

    Linear Hamiltonian Systems: Quadratic Integrals, Singular Subspaces and Stability
    Regular and Chaotic Dynamics, 2018, vol. 23, no. 1, pp. 26-46
    Abstract          pdf  (693.23 Kb)
  • 87.

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

    Dynamics of a Body with a Sharp Edge in a Viscous Fluid
    Russian Journal of Nonlinear Dynamics, 2018, vol. 14, no. 4, pp. 473-494
    Abstract          pdf  (835.37 Kb)
  • 88.

    Vetchanin E. V., Gladkov E. S.

    Identification of parameters of the model of toroidal body motion using experimental data
    Russian Journal of Nonlinear Dynamics, 2018, vol. 14, no. 1, pp. 99-121
    Abstract          pdf  (1.49 Mb)
  • 89.

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

    Controlling the movement of the body using internal masses in a viscous liquid
    Computer Research and Modeling, 2018, vol. 10, no. 4, pp. 445-460
    Abstract          pdf  (523.34 Kb)
  • 90.

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

    Controlled Motion of a Spherical Robot with Feedback. I
    Journal of Dynamical and Control Systems, 2018, vol. 24, no. 3, pp. 497-510
    Abstract          pdf  (606.17 Kb)
  • 91.

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

    Theoretical and experimental investigations of the rolling of a ball on a rotating plane (turntable)
    European Journal of Physics, 2018, vol. 39, no. 6, 065001, 13 pp.
    Abstract          pdf  (510.14 Kb)
  • 92.

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

    Dynamics of the Chaplygin ball on a rotating plane
    Russian Journal of Mathematical Physics, 2018, vol. 25, no. 4, pp. 423-433
    Abstract          pdf  (872.8 Kb)
  • 93.

    Kilin A. A., Pivovarova E. N.

    Chaplygin Top with a Periodic Gyrostatic Moment
    Russian Journal of Mathematical Physics, 2018, vol. 25, no. 4, pp. 509-524
    Abstract          pdf  (1.14 Mb)
  • 94.

    Borisov A. V., Mamaev I. S.

    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         
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