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Online First Articles

  • 1.

    Kozlov V. V.

    Solvable Algebras and Integrable Systems
    Regular and Chaotic Dynamics, 2024
    Abstract          pdf  (420.94 Kb)
  • 2.

    Bizyaev I. A., Mamaev I. S.

    Nonlinear Dynamics of a Roller Bicycle
    Regular and Chaotic Dynamics, 2024
    Abstract          pdf  (2.93 Mb)

2024

  • 1.

    Kilin A. A., Artemova E. M.

    Bifurcation Analysis of the Problem of Two Vortices on a Finite Flat Cylinder
    Russian Journal of Nonlinear Dynamics, 2024, vol. 20, no. 1, pp. 95-111
    Abstract          pdf  (1.11 Mb)
  • 2.

    Vetchanin E. V., Valieva A. R.

    Analysis of the Force and Torque Arising During the Oscillatory Motion of a Joukowsky Foil in a Fluid
    Russian Journal of Nonlinear Dynamics, 2024, vol. 20, no. 1, pp. 79-93
    Abstract          pdf  (7.95 Mb)
  • 3.

    Vetchanin E. V., Mamaev I. S.

    Numerical Analysis of a Drop-Shaped Aquatic Robot
    Mathematics, 2024, vol. 12, no. 2, 312, 17 pp.
    Abstract          pdf  (3.41 Mb)
  • 4.

    Artemova E. M., Vetchanin E. V.

    The motion of a circular foil in the field of a fixed point singularity: Integrability and asymptotic behavior
    Physics of Fluids, 2024, vol. 36, 027139, 13 pp.
    Abstract          pdf  (1.45 Mb)

2023

  • 5.

    Ardentov A. A., Artemova E. M.

    Abnormal extremals in the sub-Riemannian problem for a general model of a robot with a trailer
    Sbornik: Mathematics, 2023, vol. 214, no. 10, pp. 1351-1372
    Abstract          pdf  (524.4 Kb)
  • 6.

    Artemova E. M.

    Dynamics of two vortices on a finite flat cylinder
    Bulletin of Udmurt University. Mathematics. Mechanics. Computer Science, 2023, vol. 33, no. 4, pp. 642-658
    Abstract          pdf  (824.78 Kb)
  • 7.

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

    Stabilization of Steady Rotations of a Spherical Robot on a Vibrating Base Using Feedback
    Regular and Chaotic Dynamics, 2023, vol. 28, no. 6, pp. 888-905
    Abstract          pdf  (1.41 Mb)
  • 8.

    Kilin A. A., Pivovarova E. N.

    Dynamics of an Unbalanced Disk with a Single Nonholonomic Constraint
    Regular and Chaotic Dynamics, 2023, vol. 28, no. 1, pp. 78-106
    Abstract          pdf  (2.23 Mb)
  • 9.

    Bizyaev I. A., Mamaev I. S.

    Roller Racer with Varying Gyrostatic Momentum: Acceleration Criterion and Strange Attractors
    Regular and Chaotic Dynamics, 2023, vol. 28, no. 1, pp. 107-130
    Abstract          pdf  (6.63 Mb)
  • 10.

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

    Motion of a Four-Wheeled Omnidirectional Mobile Robot without Slipping and Detachment from the Surface
    Mekhatronika, Avtomatizatsiya, Upravlenie, 2023, vol. 24, no. 8, pp. 403-411
    Abstract          pdf  (956.53 Kb)
  • 11.

    Kilin A. A., Ivanova T. B.

    The Problem of the Rolling Motion of a Dynamically Symmetric Spherical Top with One Nonholonomic Constraint
    Russian Journal of Nonlinear Dynamics, 2023, vol. 19, no. 4, pp. 533-543
    Abstract          pdf  (591.72 Kb)
  • 12.

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

    The Control of an Aquatic Robot by a Periodic Rotation of the Internal Flywheel
    Russian Journal of Nonlinear Dynamics, 2023, vol. 19, no. 2, pp. 265-279
    Abstract          pdf  (10 Mb)
  • 13.

    Kilin A. A., Ivanova T. B.

    The Integrable Problem of the Rolling Motion of a Dynamically Symmetric Spherical Top with One Nonholonomic Constraint
    Russian Journal of Nonlinear Dynamics, 2023, vol. 19, no. 1, pp. 3-17
    Abstract          pdf  (642.75 Kb)
  • 14.

    Bizyaev I. A., Mamaev I. S.

    Dynamics of a Circular Foil and Two Pairs of Point Vortices: New Relative Equilibria and a Generalization of Helmholtz Leapfrogging
    Symmetry, 2023, vol. 15, no. 3, 698, 14 pp.
    Abstract          pdf  (1.96 Mb)
  • 15.

    Kilin A. A., Pivovarova E. N.

    Stability of Vertical Rotations of an Axisymmetric Ellipsoid on a Vibrating Plane
    Mathematics, 2023, vol. 11, no. 18, 3948, 17 pp.
    Abstract          pdf  (1.15 Mb)

2022

  • 16.

    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)
  • 17.

    Vetchanin E. V., Mamaev I. S.

    Numerical analysis of the periodic controls of an aquatic robot
    Bulletin of Udmurt University. Mathematics. Mechanics. Computer Science, 2022, vol. 32, no. 4, pp. 644-660
    Abstract          pdf  (1.1 Mb)
  • 18.

    Vetchanin E. V., Mamaev I. S.

    Periodic perturbation of motion of an unbalanced circular foil in the presence of point vortices in an ideal fluid
    Bulletin of Udmurt University. Mathematics. Mechanics. Computer Science, 2022, vol. 32, no. 4, pp. 630-643
    Abstract          pdf  (459.19 Kb)
  • 19.

    Artemova E. M., Kilin A. A., Korobeinikova Y. V.

    Investigation of the orbital stability of rectilinear motions of roller-racer on a vibrating plane
    Bulletin of Udmurt University. Mathematics. Mechanics. Computer Science, 2022, vol. 32, no. 4, pp. 615-629
    Abstract          pdf  (513.14 Kb)
  • 20.

    Bizyaev I. A., Mamaev I. S.

    Permanent Rotations in Nonholonomic Mechanics. Omnirotational Ellipsoid
    Regular and Chaotic Dynamics, 2022, vol. 27, no. 6, pp. 587-612
    Abstract          pdf  (2.99 Mb)
  • 21.

    Artemova E. M., Kilin A. A.

    Dynamics of Two Vortex Rings in a Bose – Einstein Condensate
    Regular and Chaotic Dynamics, 2022, vol. 27, no. 6, pp. 713-732
    Abstract          pdf  (1.49 Mb)
  • 22.

    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)
  • 23.

    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)
  • 24.

    Karavaev Y. L.

    Spherical Robots: An Up-to-Date Overview of Designs and Features
    Russian Journal of Nonlinear Dynamics, 2022, vol. 18, no. 4, pp. 699-740
    Abstract          pdf  (51.9 Mb)
  • 25.

    Artemova E. M., Kilin A. A.

    A Nonholonomic Model and Complete Controllability of a Three-Link Wheeled Snake Robot
    Russian Journal of Nonlinear Dynamics, 2022, vol. 18, no. 4, pp. 671-697
    Abstract          pdf  (582.78 Kb)
  • 26.

    Vetchanin E. V., Portnov E. A.

    Construction of Inhomogeneous Velocity Fields Using Expansions in Terms of Eigenfunctions of the Laplace Operator
    Russian Journal of Nonlinear Dynamics, 2022, vol. 18, no. 3, pp. 441-464
    Abstract          pdf  (3.56 Mb)
  • 27.

    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)
  • 28.

    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)
  • 29.

    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)
  • 30.

    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)
  • 31.

    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

  • 32.

    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)
  • 33.

    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)
  • 34.

    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)
  • 35.

    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)
  • 36.

    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)
  • 37.

    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)
  • 38.

    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)
  • 39.

    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)
  • 40.

    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)
  • 41.

    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)
  • 42.

    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)
  • 43.

    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)
  • 44.

    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)
  • 45.

    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)
  • 46.

    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)
  • 47.

    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

  • 48.

    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)
  • 49.

    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)
  • 50.

    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)
  • 51.

    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)
  • 52.

    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)
  • 53.

    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)
  • 54.

    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)
  • 55.

    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)
  • 56.

    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)
  • 57.

    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)
  • 58.

    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)
  • 59.

    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)
  • 60.

    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)
  • 61.

    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)
  • 62.

    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)
  • 63.

    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)
  • 64.

    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)
  • 65.

    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)
  • 66.

    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)
  • 67.

    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)
  • 68.

    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)
  • 69.

    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)
  • 70.

    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)
  • 71.

    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)
  • 72.

    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)
  • 73.

    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)
  • 74.

    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)
  • 75.

    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)
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