Spiral chaos in the nonholonomic model of a Chaplygin top
type: Item
instance of: scholarly article
title: Spiral chaos in the nonholonomic model of a Chaplygin top
zbMATH Open document ID: 1378.37112
DOI: 10.1134/S1560354716070157
author: A. V. Borisov
author: A. O. Kazakov
author: I. R. Sataev
published in: Regular and Chaotic Dynamics
publication date: 2017-06-30T00:00:00Z
review text: The authors study numerically the chaotic dynamics of a dynamically asymmetric unbalanced ball rolling on a plane (Chaplygin top). They first briefly review some results on spiral attractors (also known as Shilnikov or Rösler attractors) and discuss the equations of motion of a Chaplygin top. Then they briefly recall some results from previous works of the authors about the transition to chaos via torus doubling bifurcations. The main part of the paper of the article is concerned with providing concrete numerical evidence for the existence of homoclinic strange attractors of discrete spiral type.
reviewed by: Werner M. Seiler
Mathematics Subject Classification ID: 37J60
Mathematics Subject Classification ID: 37N15
Mathematics Subject Classification ID: 37G35
Mathematics Subject Classification ID: 70E18
Mathematics Subject Classification ID: 70F25
Mathematics Subject Classification ID: 70H45
Mathematics Subject Classification ID: 37M05
zbMATH DE Number: 6737899
zbMATH Keywords: nonholonomic constraint
zbMATH Keywords: spiral chaos
zbMATH Keywords: discrete spiral attractor
zbMATH Keywords: Chaplygin top
MaRDI profile type: Publication
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