Comparison of the system ``Chaplygin ball with a rotor and the Zhukovskii system from the rough Liouville equivalence point of view

DOI10.3103/S0027132217060055zbMath1383.37055OpenAlexW2782247603MaRDI QIDQ1703241

A. I. Zhila

Publication date: 1 March 2018

Published in: Moscow University Mathematics Bulletin (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3103/s0027132217060055

zbMATH Keywords

symplectic geometrytopological analysisLiouville equivalence

Mathematics Subject Classification ID

Nonholonomic systems related to the dynamics of a system of particles (70F25) Nonholonomic dynamical systems (37J60)

Cites Work

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• New approach to symmetries and singularities in integrable Hamiltonian systems
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• The dynamics of Chaplygin ball: the qualitative and computer analysis
• Chaplygin's ball rolling problem is Hamiltonian
• On a ball's rolling on a horizontal plane. Translated from the Russian 1903 original
• Symmetries groups of nice Morse functions on surfaces
• Chaplygin's ball with a rotor: non-degeneracy of singular points
• Algebra and Geometry Through Hamiltonian Systems
• Maximally symmetric cell decompositions of surfaces and their coverings
• Constant energy surfaces of Hamiltonian systems, enumeration of three-dimensional manifolds in increasing order of complexity, and computation of volumes of closed hyperbolic manifolds

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