An Inhomogeneous Chaplygin Sleigh

2017, Volume 22, Number 4, pp. 435-447

Author(s): Borisov A. V., Mamaev I. S.

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

Citation: Borisov A. V., Mamaev I. S., An Inhomogeneous Chaplygin Sleigh, Regular and Chaotic Dynamics, 2017, Volume 22, Number 4, pp. 435-447

DOI: 10.1134/S1560354717040062

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