On action-angle variables

DOI10.1007/BF00380319zbMath0781.58010OpenAlexW2064728050MaRDI QIDQ1261967

Larry M. Bates, Jędrzej Śniatycki

Publication date: 7 September 1993

Published in: Archive for Rational Mechanics and Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf00380319

zbMATH Keywords

symplectic formaction-angle coordinatescompletely integrable Hamiltonian systems

Mathematics Subject Classification ID

Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) Hamilton's equations (70H05) Completely integrable finite-dimensional Hamiltonian systems, integration methods, integrability tests (37J35)

Related Items

Polite Actions of Non-compact Lie Groups, Universal Lagrangian bundles, Weak Liouville-Arnol'd theorems and their implications, Global properties of integrable Hamiltonian systems, Integrable almost-symplectic Hamiltonian systems, Integrable systems, symmetries, and quantization, What is a completely integrable nonholonomic dynamical system?, Problems and progress in nonholonomic reduction, A geometric proof of the periodic averaging theorem on Riemannian manifolds

Cites Work

• Symplectic manifolds and their Lagrangian submanifolds
• Differentiable fibre spaces and mappings compatible with Riemannian metrics
• On the Period-Energy Relation
• Generic Hamiltonian dynamical systems are neither integrable nor ergodic
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