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Online First Articles

  • 1.

    Kilin A. A., Artemova E. M.

    Bifurcation Analysis of the Problem of Two Vortices on a Finite Flat Cylinder
    Rus. J. Nonlin. Dyn., 2023
    Abstract          pdf  (1.05 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
    Rus. J. Nonlin. Dyn., 2023
    Abstract          pdf  (7.9 Mb)

2023

  • 1.

    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)
  • 2.

    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)
  • 3.

    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

  • 4.

    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

  • 5.

    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)
  • 6.

    Kilin A. A., Pivovarova E. N.

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

    Kilin A. A., Pivovarova E. N.

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

    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)

2020

  • 9.

    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)
  • 10.

    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)
  • 11.

    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)
  • 12.

    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)

2019

  • 13.

    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)
  • 14.

    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)
  • 15.

    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)

2018

  • 16.

    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)
  • 17.

    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)
  • 18.

    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)
  • 19.

    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)
  • 20.

    Kilin A. A., Pivovarova E. N.

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

2017

  • 21.

    Kilin A. A., Pivovarova E. N.

    The Rolling Motion of a Truncated Ball Without Slipping and Spinning on a Plane
    Regular and Chaotic Dynamics, 2017, vol. 22, no. 3, pp. 298-317
    Abstract          pdf  (399.6 Kb)
  • 22.

    Pivovarova E. N.

    Stability analysis of steady motions of a spherical robot of combined type
    Russian Journal of Nonlinear Dynamics, 2017, vol. 13, no. 4, pp. 611–623
    Abstract          pdf  (1.75 Mb)
  • 23.

    Pivovarova E. N.

    Stability analysis of steady motions of a spherical robot of combined type
    Russian Journal of Nonlinear Dynamics, 2017, vol. 13, no. 4, pp. 611–623
    Abstract          pdf  (1.76 Mb)
  • 24.

    Borisov A. V., Kazakov A. O., Pivovarova E. N.

    Regular and chaotic dynamics in the rubber model of a Chaplygin top
    Russian Journal of Nonlinear Dynamics, 2017, vol. 13, no. 2, pp. 277-297
    Abstract          pdf  (2.3 Mb)

2016

  • 25.

    Borisov A. V., Kazakov A. O., Pivovarova E. N.

    Regular and Chaotic Dynamics in the Rubber Model of a Chaplygin Top
    Regular and Chaotic Dynamics, 2016, vol. 21, no. 7-8, pp. 885-901
    Abstract          pdf  (2.21 Mb)

2015

  • 26.

    Pivovarova E. N., Klekovkin A. V.

    Influence of rolling friction on the controlled motion of a robot wheel
    Bulletin of Udmurt University. Mathematics. Mechanics. Computer Science, 2015, vol. 25, no. 4, pp. 583-592
    Abstract          pdf  (395.52 Kb)
  • 27.

    Vetchanin E. V., Karavaev Y. L., Kalinkin A. A., Klekovkin A. V., Pivovarova E. N.

    A model of a screwless underwater robot
    Bulletin of Udmurt University. Mathematics. Mechanics. Computer Science, 2015, vol. 25, no. 4, pp. 544-553
    Abstract          pdf  (308.24 Kb)
  • 28.

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

    Spherical Robot of Combined Type: Dynamics and Control
    Regular and Chaotic Dynamics, 2015, vol. 20, no. 6, pp. 716-728
    Abstract          pdf  (306.92 Kb)

2014

  • 29.

    Ivanova T. B., Pivovarova E. N.

    Comments on the Paper by A.V. Borisov, A.A. Kilin, I.S. Mamaev "How to Control the Chaplygin Ball Using Rotors. II"
    Regular and Chaotic Dynamics, 2014, vol. 19, no. 1, pp. 140-143
    Abstract          pdf  (170.77 Kb)
  • 30.

    Ivanova T. B., Pivovarova E. N.

    Comment on the paper by A.V. Borisov, A.A. Kilin, I.S. Mamaev “How to control the Chaplygin ball using rotors. II”
    Russian Journal of Nonlinear Dynamics, 2014, vol. 10, no. 1, pp. 127-131
    Abstract          pdf  (234.11 Kb)
  • 31.

    Alalykin S. S., Bogatyrev A. V., Ivanova T. B., Pivovarova E. N.

    Determination of moments of inertia and the position of the center of mass of robotic devices
    Bulletin of Udmurt University. Physics and Chemistry, 2014, no. 4, pp. 79-86
    Abstract          pdf  (311.48 Kb)

2013

  • 32.

    Ivanova T. B., Pivovarova E. N.

    Dynamics and Control of a Spherical Robot with an Axisymmetric Pendulum Actuator
    Russian Journal of Nonlinear Dynamics, 2013, vol. 9, no. 3, pp. 507-520
    Abstract          pdf  (582.48 Kb)

2012

  • 33.

    Pivovarova E. N., Ivanova T. B.

    Stability analysis of periodic solutions in the problem of the rolling of a ball with a pendulum
    Bulletin of Udmurt University. Mathematics. Mechanics. Computer Science, 2012, no. 4, pp. 146-155
    Abstract          pdf  (688.03 Kb)
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