Force evolutionary billiards and billiard equivalence of the Euler and Lagrange cases

DOI10.1134/S1064562421010154zbMath1482.37060OpenAlexW3134307684MaRDI QIDQ2243835

A. T. Fomenko, V. V. Vedyushkina

Publication date: 11 November 2021

Published in: Doklady Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s1064562421010154

zbMATH Keywords

rigid body dynamicsintegrable systembilliardFomenko-Zieschang invariantLiouville equivalencebilliard bookevolutionary force billiards

Mathematics Subject Classification ID

Completely integrable finite-dimensional Hamiltonian systems, integration methods, integrability tests (37J35) Integrable cases of motion in rigid body dynamics (70E40) Motion of a rigid body with a fixed point (70E17) Relations of finite-dimensional Hamiltonian and Lagrangian systems with topology, geometry and differential geometry (symplectic geometry, Poisson geometry, etc.) (37J39)

Related Items (3)

Topological classification of billiards bounded by confocal quadrics in three-dimensional Euclidean space ⋮ Topology of isoenergy 5-surfaces of a three-axial ellipsoid with a Hooke potential ⋮ Billiards with changing geometry and their connection with the implementation of the Zhukovsky and Kovalevskaya cases

Cites Work

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