On integrals of the third degree in momenta

DOI10.1070/rd1999v004n03ABEH000114zbMath1012.37036MaRDI QIDQ1850443

Holger R. Dullin, Vladimir S. Matveev, Peter J. Topalov

Publication date: 8 December 2002

Published in: Regular and Chaotic Dynamics (Search for Journal in Brave)

zbMATH Keywords

Hamiltonian vector fieldToda latticeglobal Hamiltoniansvector field on surfaceCalogero Moser systemGoryachev Chaplygin topthird degree polynomial

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) Completely integrable systems and methods of integration for problems in Hamiltonian and Lagrangian mechanics (70H06) Geodesic flows in symplectic geometry and contact geometry (53D25)

Related Items (3)

Two-dimensional superintegrable metrics with one linear and one cubic integral ⋮ Differential invariants for cubic integrals of geodesic flows on surfaces ⋮ Manifolds of infinite topological type with integrable geodesic flows

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