Topological analysis of one integrable system related to the rolling of a ball over a sphere

MaRDI QIDQ6654789

I. S. Mamaev, A. V. Borisov

Publication date: 20 December 2024

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

zbMATH Keywords

bifurcationbifurcation diagramintegrable systemLiouville foliationconformally Hamiltonian systemcritical periodic solution

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

• Title not available (Why is that?)
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• Chaplygin ball over a fixed sphere: an explicit integration
• The dynamics of Chaplygin ball: the qualitative and computer analysis
• Hamiltonisation of non-holonomic systems in the neighborhood of invariant manifolds
• Rolling of a homogeneous ball over a dynamically asymmetric sphere
• Generalized Chaplygins transformation and explicit integration of a system with a spherical support
• On deformations of the canonical Poisson bracket for the nonholonomic Chaplygin and the Borisov-Mamaev-Fedorov systems on zero-level of the area integral. I

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