First integrals of systems with elastic reflections

zbMath0673.70016MaRDI QIDQ1121048

Sergey V. Bolotin

Publication date: 1988

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

zbMATH Keywords

configuration spacecharacteristicelastic reflectionconnected compact two-dimensional manifold of Eulerianconnected compact two-dimensional manifold of Eulerian characteristicconservative Lagrangian mechanical systemfirst integral of polynomial velocitygeneralization of Birkhoff billiards

Mathematics Subject Classification ID

Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) Completely integrable finite-dimensional Hamiltonian systems, integration methods, integrability tests (37J35) Dynamical aspects of finite-dimensional Hamiltonian and Lagrangian systems (37J99) Lagrange's equations (70H03) Generalized coordinates; event, impulse-energy, configuration, state, or phase space for problems in mechanics (70G10)

Related Items (3)

On the extendability of Noether's integrals for orbifolds of constant negative curvature ⋮ Billiards and integrable systems ⋮ Integrable billiards on surfaces of constant curvature

This page was built for publication: First integrals of systems with elastic reflections