An inhomogeneous Chaplygin sleigh
type: Item
instance of: scholarly article
title: An inhomogeneous Chaplygin sleigh
zbMATH Open document ID: 1404.37073
author: A. V. Borisov
author: I. S. Mamaev
published in: Regular and Chaotic Dynamics
publication date: 2018-02-23T00:00:00Z
review text: The authors consider the inertial dynamics of an inhomogeneous Chaplygin sleigh. An immediate generalization of this problem is the investigation of the motion of the sleigh in a gravitational field on an inclined plane. In the case of a homogeneous constraint, this system is not integrable and exhibits complex asymptotic behavior. The authors present a new first integral, which is an immediate generalization of the energy integral. This integral is not obvious, since, generally speaking, in the case of inhomogeneous constraints the energy integral does not exist. Explicit solution, are obtained and some trajectories are constructed explicitly.
reviewed by: Teodor Atanacković
Mathematics Subject Classification ID: 37J60
Mathematics Subject Classification ID: 70F25
zbMATH DE Number: 6842699
zbMATH Keywords: Chaplygin sleigh
zbMATH Keywords: inhomogeneous nonholonomic constraint
zbMATH Keywords: conservation law
MaRDI profile type: Publication
full work available at URL: nd1704014
OpenAlex ID: W2777481276
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DOI: 10.1134/S1560354717040062
DOI: 10.20537/ND1704014
description: scientific article; zbMATH DE number 6842699