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This article is cited in 2 scientific papers (total in 2 papers)
On the 75th birthday of A.P.Markeev
An inhomogeneous Chaplygin sleigh
A. V. Borisov, I. S. Mamaev Steklov Mathematical Institute, Russian Academy of Sciences, ul. Gubkina 8, Moscow, 119991 Russia
Abstract:
In this paper we investigate the dynamics of a system that is a generalization of the Chaplygin sleigh to the case of an inhomogeneous nonholonomic constraint. We perform an explicit integration and a sufficiently complete qualitative analysis of the dynamics.
Keywords:
Chaplygin sleigh, inhomogeneous nonholonomic constraints, conservation laws, qualitative analysis, resonance.
Received: 02.06.2017 Accepted: 06.07.2017
Citation:
A. V. Borisov, I. S. Mamaev, “An inhomogeneous Chaplygin sleigh”, Nelin. Dinam., 13:4 (2017), 625–639
Linking options:
https://www.mathnet.ru/eng/nd591 https://www.mathnet.ru/eng/nd/v13/i4/p625
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