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This article is cited in 25 scientific papers (total in 25 papers)
The Inertial Motion of a Roller Racer
Ivan A. Bizyaev Steklov Mathematical Institute, Russian Academy of Sciences,
ul. Gubkina 8, Moscow, 119991 Russia
Abstract:
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.
Keywords:
roller racer, invariant measure, nonholonomic mechanics, scattering map.
Received: 29.03.2017 Accepted: 27.04.2017
Citation:
Ivan A. Bizyaev, “The Inertial Motion of a Roller Racer”, Regul. Chaotic Dyn., 22:3 (2017), 239–247
Linking options:
https://www.mathnet.ru/eng/rcd254 https://www.mathnet.ru/eng/rcd/v22/i3/p239
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Abstract page: | 234 | References: | 46 |
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