Orbit interpretation of Hamiltonian systems of the type of an anharmonic oscillator

DOI10.1007/BF01247096zbMath0642.58035MaRDI QIDQ1101755

A. G. Reyman

Publication date: 1988

Published in: Journal of Soviet Mathematics (Search for Journal in Brave)

zbMATH Keywords

orbitsaffine Lie algebrasintegrable Hamiltonian systemstwisted loop algebrar-matrix

Mathematics Subject Classification ID

Kac-Moody (super)algebras; extended affine Lie algebras; toroidal Lie algebras (17B67) 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) Applications of Lie algebras and superalgebras to integrable systems (17B80)

Related Items (2)

On a class of quadratic conservation laws for Newton equations in Euclidean space ⋮ Second order Killing tensors related to symmetric spaces

Cites Work

• A new integrable case of the motion of the 4-dimensional rigid body

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