Billiards with changing geometry and their connection with the implementation of the Zhukovsky and Kovalevskaya cases

DOI10.1134/S1061920821030055zbMath1482.37055OpenAlexW3199030608MaRDI QIDQ2239359

A. T. Fomenko, V. V. Vedyushkina

Publication date: 3 November 2021

Published in: Russian Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s1061920821030055

zbMATH Keywords

Liouville equivalenceevolutionary billiardsisoenergy 3-surfaces

Mathematics Subject Classification ID

Completely integrable finite-dimensional Hamiltonian systems, integration methods, integrability tests (37J35) Relations of finite-dimensional Hamiltonian and Lagrangian systems with topology, geometry and differential geometry (symplectic geometry, Poisson geometry, etc.) (37J39) Dynamical systems with singularities (billiards, etc.) (37C83)

Related Items (1)

Topology of isoenergy 5-surfaces of a three-axial ellipsoid with a Hooke potential

Cites Work

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