Canonical transformations of the extended phase space and integrable systems

DOI10.1007/BF02551068zbMath1031.37048MaRDI QIDQ5941971

Andreĭ Vladimirovich Tsyganov

Publication date: 7 March 2004

Published in: Theoretical and Mathematical Physics (Search for Journal in Brave)

zbMATH Keywords

extended phase spacecanonical transformation of time

Mathematics Subject Classification ID

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

Cites Work

• Infinite series of Lie algebras and boundary conditions for integrable systems
• Lax representation with a spectral parameter for the Kowalevski top and its generalizations
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• On Bäcklund transformations for many-body systems
• Construction of new integrable Hamiltonians in two degrees of freedom
• A generalized Henon–Heiles system and related integrable Newton equations
• Regularization of kepler's problem and the averaging method on a manifold
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