On integrable potential perturbations of the billiard system within an ellipsoid

DOI10.1063/1.532034zbMath0884.70023OpenAlexW1971597956MaRDI QIDQ4345159

Vladimir Dragović, Božidar Žarko Jovanović

Publication date: 1 April 1998

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

Full work available at URL: https://doi.org/10.1063/1.532034

zbMATH Keywords

integrable systemsLaurent polynomialsKozlov's method

Mathematics Subject Classification ID

Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) Hamilton's equations (70H05) Completely integrable finite-dimensional Hamiltonian systems, integration methods, integrability tests (37J35)

Related Items

ELLIPSOIDAL BILLIARDS WITH ISOTROPIC HARMONIC POTENTIALS ⋮ The Jacobi-Rosochatius problem on an ellipsoid: the Lax representations and billiards ⋮ On elliptical billiards in the Lobachevsky space and associated geodesic hierarchies. ⋮ Sonar-based robot navigation using non-linear robust discrete-time observers ⋮ Conditions of Cayley’s type for ellipsoidal billiard

Cites Work

• Elliptical billiards and Poncelet’s theorem
• Billiard systems on quadric surfaces and the Poncelet theorem