The Gauss-Knörrer map for the Rosochatius dynamical system

DOI10.1016/S0375-9601(98)00860-3zbMath0984.37066arXivphysics/9710016OpenAlexW2125626547MaRDI QIDQ1967071

Takesi Saito, Reijiro Kubo, Yukinori Yasui, Waichi Ogura

Publication date: 8 March 2000

Published in: Physics Letters. A (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/physics/9710016

zbMATH Keywords

conserved quantitiesDirac bracketRosochatius systemnonlinear integrable systemGauss-Knörrer map

Mathematics Subject Classification ID

Hamilton's equations (70H05) Completely integrable finite-dimensional Hamiltonian systems, integration methods, integrability tests (37J35) Canonical and symplectic transformations for problems in Hamiltonian and Lagrangian mechanics (70H15)

Related Items

The Jacobi-Rosochatius problem on an ellipsoid: the Lax representations and billiards, Integrable deformations of integrable symplectic maps, Consecutive Rosochatius deformations of the Garnier system and the Hénon-Heiles system, Integrable Rosochatius deformations of the restricted soliton flows, Consecutive Rosochatius deformations of the Neumann system, The generalized Kupershmidt deformation for the fifth-order coupled KdV equations hierarchy, Some new integrable systems constructed from the bi-Hamiltonian systems with pure differential Hamiltonian operators, The generalized Kupershmidt deformation for constructing new integrable systems from integrable bi-Hamiltonian systems, A hierarchy of Garnier-Rosochatius systems

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