Integrable systems on the sphere with elastic interaction potentials

DOI10.1007/BF02362410zbMath0854.70013MaRDI QIDQ1905283

Valery V. Kozlov, Yuri N. Fedorov

Publication date: 19 January 1997

Published in: Mathematical Notes (Search for Journal in Brave)

zbMATH Keywords

Lagrangian multipliertotal energy constantCalogero-like energy potentialintegrable Jacobi system on ellipsoid

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) Hamiltonian and Lagrangian mechanics (70H99)

Related Items

Unnamed Item, Multiparticle systems. The algebra of integrals and integrable cases, Superintegrable system on a sphere with the integral of higher degree, Superintegrable generalizations of the Kepler and Hook problems, The spatial problem of 2 bodies on a sphere. Reduction and stochasticity

Cites Work

• Confocal surfaces and integrable billiards on the sphere and in the Lobachevsky space
• Kepler's problem in constant curvature spaces
• Dynamics in spaces of constant curvature.
• Unnamed Item