Complex Dynamics in Generalizations of the Chaplygin Sleigh

DOI10.20537/nd190414zbMath1444.37054arXiv1909.01130OpenAlexW3000696106MaRDI QIDQ5112950

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Publication date: 9 June 2020

Published in: Nelineinaya Dinamika (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1909.01130

zbMATH Keywords

chaosattractornonholonomic systemChaplygin sleigh

Mathematics Subject Classification ID

Bifurcations and instability for nonlinear problems in mechanics (70K50) Transition to stochasticity (chaotic behavior) for nonlinear problems in mechanics (70K55) Nonholonomic systems related to the dynamics of a system of particles (70F25) Nonholonomic dynamical systems (37J60)

Cites Work

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• Regular and chaotic dynamics of a Chaplygin sleigh due to periodic switch of the nonholonomic constraint
• Nonholonomic mechanics and control. With the collaboration of J. Baillieul, P. Crouch, and J. Marsden. With scientific input from P. S. Krishnaprasad, R. M. Murray, and D. Zenkov.
• On the integration theory of equations of nonholonomic mechanics
• Rolling of a rigid body on a plane and sphere. Hierarchy of dynamics
• Dynamical phenomena occurring due to phase volume compression in nonholonomic model of the rattleback
• Lyapunov Exponents

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