Email this article The inertial motion of a roller racer
- Authors: Bizyaev I.A.1
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Affiliations:
- Steklov Mathematical Institute
- Issue: Vol 22, No 3 (2017)
- Pages: 239-247
- Section: Article
- URL: https://ogarev-online.ru/1560-3547/article/view/218612
- DOI: https://doi.org/10.1134/S1560354717030042
- ID: 218612
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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.
About the authors
Ivan A. Bizyaev
Steklov Mathematical Institute
Author for correspondence.
Email: bizaev_90@mail.ru
Russian Federation, ul. Gubkina 8, Moscow, 119991
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