Аннотация:
This paper addresses the problem of the inertial motion of a roller racer, which
reduces to investigating a dynamical system on a (two-dimensional) torus and to classifying
singular points on it. It is shown that the motion of the roller racer in absolute space is
asymptotic. A restriction on the system parameters in which this motion is bounded (compact)
is presented.
\RBibitem{Biz17}
\by Ivan A. Bizyaev
\paper The Inertial Motion of a {\it Roller Racer}
\jour Regul. Chaotic Dyn.
\yr 2017
\vol 22
\issue 3
\pages 239--247
\mathnet{http://mi.mathnet.ru/rcd254}
\crossref{https://doi.org/10.1134/S1560354717030042}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=3658423}
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\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-85020165692}
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https://www.mathnet.ru/rus/rcd254
https://www.mathnet.ru/rus/rcd/v22/i3/p239
Эта публикация цитируется в следующих 26 статьяx:
E.M. Artemova, I.A. Bizyaev, “Dynamics of a multilink wheeled vehicle: Partial solutions and unbounded speedup”, International Journal of Non-Linear Mechanics, 165 (2024), 104774
Е. А. Микишанина, “Принципы реализации сервосвязей в неголономных механических системах”, Вестн. Томск. гос. ун-та. Матем. и мех., 2024, № 89, 103–118
Ivan A. Bizyaev, Ivan S. Mamaev, “Roller Racer with Varying Gyrostatic Momentum:
Acceleration Criterion and Strange Attractors”, Regul. Chaotic Dyn., 28:1 (2023), 107–130
A. A. Kilin, T. B. Ivanova, “The Integrable Problem of the Rolling Motion
of a Dynamically Symmetric Spherical Top
with One Nonholonomic Constraint”, Rus. J. Nonlin. Dyn., 19:1 (2023), 3–17
Е. М. Артемова, А. А. Килин, Ю. В. Коробейникова, “Исследование орбитальной устойчивости прямолинейных качений роллер-рейсера по вибрирующей плоскости”, Вестн. Удмуртск. ун-та. Матем. Мех. Компьют. науки, 32:4 (2022), 615–629
E. M. Artemova, A. A. Kilin, “A Nonholonomic Model and Complete Controllability
of a Three-Link Wheeled Snake Robot”, Rus. J. Nonlin. Dyn., 18:4 (2022), 681–707
Alexander Kilin, Yuriy Karavaev, Kirill Yefremov, Lecture Notes in Networks and Systems, 324, Robotics for Sustainable Future, 2022, 428
E. A. Mikishanina, “Qualitative Analysis of the Dynamics of a Trailed
Wheeled Vehicle with Periodic Excitation”, Rus. J. Nonlin. Dyn., 17:4 (2021), 437–451
Ivan S. Mamaev, Evgeny V. Vetchanin, “Dynamics of Rubber Chaplygin Sphere under Periodic Control”, Regul. Chaotic Dyn., 25:2 (2020), 215–236
Elizaveta M. Artemova, Yury L. Karavaev, Ivan S. Mamaev, Evgeny V. Vetchanin, “Dynamics of a Spherical Robot with Variable Moments of Inertia and a Displaced Center of Mass”, Regul. Chaotic Dyn., 25:6 (2020), 689–706
Elizaveta M. Artemova, Alexander A. Kilin, 2020 International Conference Nonlinearity, Information and Robotics (NIR), 2020, 1
Ivan S. Mamaev, Evgeny V. Vetchanin, 2020 International Conference Nonlinearity, Information and Robotics (NIR), 2020, 1
Elizaveta M. Artemova, Alexander A. Kilin, 2020 International Conference Nonlinearity, Information and Robotics (NIR), 2020, 1
Kirill S. Yefremov, Tatiana B. Ivanova, Alexander A. Kilin, Yury L. Karavaev, 2020 International Conference Nonlinearity, Information and Robotics (NIR), 2020, 1
Vitaliy Fedonyuk, Phanindra Tallapragada, “The Dynamics of a Chaplygin Sleigh with an Elastic Internal Rotor”, Regul. Chaotic Dyn., 24:1 (2019), 114–126
Alexander A. Kilin, Elena N. Pivovarova, “Qualitative Analysis of the Nonholonomic Rolling of a Rubber Wheel with Sharp Edges”, Regul. Chaotic Dyn., 24:2 (2019), 212–233
Andrey A. Ardentov, Yury L. Karavaev, Kirill S. Yefremov, “Euler Elasticas for Optimal Control of the Motion of Mobile Wheeled Robots: the Problem of Experimental Realization”, Regul. Chaotic Dyn., 24:3 (2019), 312–328
А. В. Борисов, А. В. Цыганов, “Влияние эффектов Барнетта-Лондона и Эйнштейна-де Гааза на движение неголономной сферы Рауса”, Вестн. Удмуртск. ун-та. Матем. Мех. Компьют. науки, 29:4 (2019), 583–598
I. A. Bizyaev, A. V. Borisov, I. S. Mamaev, “Dynamics of a Chaplygin sleigh with an unbalanced rotor: regular and chaotic motions”, Nonlinear Dyn., 98:3 (2019), 2277–2291
A. Borisov, A. Kilin, I. Mamaev, “Invariant submanifolds of genus 5 and a Cantor staircase in the nonholonomic model of a snakeboard”, Int. J. Bifurcation Chaos, 29:3 (2019), 1930008
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