Rolling without spinning of a ball on a plane: absence of an invariant measure in a system with a complete set of first integrals

MaRDI QIDQ6654755

A. V. Bolsinov, A. V. Borisov, I. S. Mamaev

Publication date: 20 December 2024

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

zbMATH Keywords

integrabilityinvariant measureinvariant torusLiouville foliationnon-holonomic constraint

Mathematics Subject Classification ID

Completely integrable finite-dimensional Hamiltonian systems, integration methods, integrability tests (37J35) Constrained dynamics, Dirac's theory of constraints (70H45) Nonholonomic dynamical systems (37J60)

Cites Work

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• Rubber Rolling: Geometry and Dynamics of 2-3-5 Distributions
• The Dynamics of Circle Homeomorphisms: A Hands-on Introduction
• Precession and recession of the rock'n'roller
• Sur les mouvements de roulement.
• Conservation laws, hierarchy of dynamics and explicit integration of nonholonomic systems
• How to control the Chaplygin sphere using rotors

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