The authors extend their gratitude to V. V. Kozlov and A. A. Kilin for fruitful discussions and useful comments.
The work of Ivan Bizyaev was performed at the Ural Mathematical Center and carried out within the framework of the state assignment or the Ministry of Science and Higher Education (No. FEWS-2020-0009). The work of Sergey Bolotin was performed at the Moscow Steklov Mathematical Institute and supported by the RFFI Grant No. 18-01-00887 Mathematical methods of classical mechanics. The work of Ivan Mamaev was carried out within the framework of the state assignment or the Ministry of Science and Higher Education (No. FZZN-2020-0011).
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Тип публикации:
Статья
Язык публикации: английский
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https://www.mathnet.ru/rus/chaos1
Эта публикация цитируется в следующих 7 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
Evgeniya A. Mikishanina, “Omniwheel implementation of the Suslov problem with a rheonomic constraint: dynamic model and control”, Russian Universities Reports. Mathematics, 2024, no. 147, 296
D. V. Treschev, E. I. Kugushev, T. V. Shakhova, S. V. Bolotin, Yu. F. Golubev, V. A. Samsonov, Yu. D. Selyutskiy, “Chair of Theoretical Mechanics and Mechatronics”, Moscow Univ. Mech. Bull., 79:6 (2024), 200
Evgeniya Mikishanina, “The problem of acceleration in the dynamics of a double-link wheeled vehicle with arbitrarily directed periodic excitation”, Theor appl mech (Belgr), 50:2 (2023), 205
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
Sergey Gonchenko, Alexey Kazakov, Dmitry Turaev, Andrey L. Shilnikov, “Leonid Shilnikov and mathematical theory of dynamical chaos”, Chaos: An Interdisciplinary Journal of Nonlinear Science, 32:1 (2022)
Alexander A. Kilin, Elena N. Pivovarova, “A Particular Integrable Case in the Nonautonomous Problem
of a Chaplygin Sphere Rolling on a Vibrating Plane”, Regul. Chaotic Dyn., 26:6 (2021), 775–786
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