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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., 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)
  • 3.

    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)

2022

  • 4.

    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)
  • 5.

    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)

2020

  • 6.

    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)
  • 7.

    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)
  • 8.

    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)

2019

  • 9.

    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)
  • 10.

    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)
  • 11.

    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)

2018

  • 12.

    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)
  • 13.

    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)
  • 14.

    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)
  • 15.

    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)

2016

  • 16.

    Ivanova T. B., Erdakova N. N., Karavaev Y. L.

    Experimental Investigation of the Dynamics of a Brake Shoe
    Doklady Physics, 2016, vol. 61, no. 12, pp. 611-614
    Abstract          pdf  (413.7 Kb)
  • 17.

    Ivanova T. B., Mamaev I. S.

    Dynamics of a Painlevé-Appel system
    Journal of Applied Mathematics and Mechanics, 2016, vol. 80, no. 1, pp. 7-15
    Abstract          pdf  (1.78 Mb)

2015

  • 18.

    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)
  • 19.

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

    Experimental Investigation of the Motion of a Body with an Axisymmetric Base Sliding on a Rough Plane
    Regular and Chaotic Dynamics, 2015, vol. 20, no. 5, pp. 518-541
    Abstract          pdf  (516.92 Kb)
  • 20.

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

    On the dynamics of a body with an axisymmetric base sliding on a rough plane
    Russian Journal of Nonlinear Dynamics, 2015, vol. 11, no. 3, pp. 547-577
    Abstract          pdf  (2.38 Mb)
  • 21.

    Ivanova T. B., Pivovarova E. N.

    Dynamics and Control of a Spherical Robot with an Axisymmetric Pendulum Actuator
    arXiv:1511.02655v1, 2015, 14 pp.
    Abstract          pdf  (535.3 Kb)

2014

  • 22.

    Borisov A. V., Erdakova N. N., Ivanova T. B., Mamaev I. S.

    The Dynamics of a Body with an Axisymmetric Base Sliding on a Rough Plane
    Regular and Chaotic Dynamics, 2014, vol. 19, no. 6, pp. 607-634
    Abstract          pdf  (965.59 Kb)
  • 23.

    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)
  • 24.

    Mamaev I. S., Ivanova T. B.

    The Dynamics of a Rigid Body with a Sharp Edge in Contact with an Inclined Surface in the Presence of Dry Friction
    Regular and Chaotic Dynamics, 2014, vol. 19, no. 1, pp. 116-139
    Abstract          pdf  (735.75 Kb)
  • 25.

    Borisov A. V., Erdakova N. N., Ivanova T. B., Mamaev I. S.

    On the dynamics of a body with an axisymmetric base sliding on a rough plane
    Russian Journal of Nonlinear Dynamics, 2014, vol. 10, no. 4, pp. 483-495
    Abstract          pdf  (667.35 Kb)
  • 26.

    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)
  • 27.

    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

  • 28.

    Mamaev I. S., Ivanova T. B.

    The dynamics of rigid body whose sharp edge is in contact with a inclined surface with dry friction
    Russian Journal of Nonlinear Dynamics, 2013, vol. 9, no. 3, pp. 567-594
    Abstract          pdf  (886.59 Kb)
  • 29.

    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

  • 30.

    Treschev D. V., Erdakova N. N., Ivanova T. B.

    On the final motion of cylindrical solids on a rough plane
    Russian Journal of Nonlinear Dynamics, 2012, vol. 8, no. 3, pp. 585-603
    Abstract          pdf  (623.55 Kb)
  • 31.

    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)
  • 32.

    Ivanov A. P., Shuvalov N. D., Ivanova T. B.

    On detachment conditions of a top on an absolutely rough support
    Bulletin of Udmurt University. Mathematics. Mechanics. Computer Science, 2012, no. 3, pp. 103-113
    Abstract          pdf  (292.26 Kb)

2011

  • 33.

    Kuleshov A. S., Treschev D. V., Ivanova T. B., Naymushina O. S.

    A rigid cylinder on a viscoelastic plane
    Russian Journal of Nonlinear Dynamics, 2011, vol. 7, no. 3, pp. 601-625
    Abstract          pdf  (499.7 Kb)
  • 34.

    Bizyaev I. A., Ivanova T. B.

    Figures of equilibrium of liquid self-gravitating inhomogeneous mass
    Bulletin of Udmurt University. Mathematics. Mechanics. Computer Science, 2011, no. 3, pp. 142-153
    Abstract          pdf  (215.68 Kb)

2010

  • 35.

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

    Stability of a liquid self-gravitating elliptic cylinder with intrinsic rotation
    Russian Journal of Nonlinear Dynamics, 2010, vol. 6, no. 4, pp. 807-822
    Abstract          pdf  (902.16 Kb)
  • 36.

    Ivanova T. B.

    Construction of bifurcation diagram and analysis of stability of self-gravitating fluid elliptical cylinder with internal flow
    Bulletin of Udmurt University. Mathematics. Mechanics. Computer Science, 2010, no. 4, pp. 77-86
    Abstract          pdf  (588.63 Kb)

2009

  • 37.

    Ivanova T. B., Vaskin V. V.

    Generalized model of kinetics of formation of a new phase
    Bulletin of Udmurt University. Mathematics. Mechanics. Computer Science, 2009, no. 2, pp. 110-117
    Abstract          pdf  (724.17 Kb)
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