Perturbation theory of Hamiltonian systems with noncompact invariant surfaces

zbMATH Open0658.70019MaRDI QIDQ1111789

Valery V. Kozlov

Publication date: 1988

Published in: Moscow University Mechanics Bulletin (Search for Journal in Brave)

zbMATH Keywords

Liouville theoremcomplete integrabilityclassical perturbation theory of Hamiltonian systemsintegrability of generalized Toda chains

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) Dynamical aspects of finite-dimensional Hamiltonian and Lagrangian systems (37J99) Generalized coordinates; event, impulse-energy, configuration, state, or phase space for problems in mechanics (70G10)

Related Items (3)

Asymptotic invariant surfaces for non-autonomous pendulum-type systems ⋮ Perturbed generalised Hamiltonian systems and some advection models ⋮ Perturbed \(S^1\)-symmetric Hamiltonian systems

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