Examples for obstructions to action-angle coordinates

DOI10.1017/S0308210500024823zbMath0664.58004OpenAlexW2062238371MaRDI QIDQ3814416

Larry M. Bates

Publication date: 1988

Published in: Proceedings of the Royal Society of Edinburgh: Section A Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1017/s0308210500024823

zbMATH Keywords

action-angle variablesmomentum mapprincipal three-torus bundle

Mathematics Subject Classification ID

Dynamical aspects of finite-dimensional Hamiltonian and Lagrangian systems (37J99) Topology of vector bundles and fiber bundles (57R22) Canonical and symplectic transformations for problems in Hamiltonian and Lagrangian mechanics (70H15)

Related Items

Hamiltonian perturbation theory on a manifold, Universal Lagrangian bundles, The Euler-Poinsot top: a non-commutatively integrable system without global action-angle coordinates, Geometric quantization of time-dependent completely integrable Hamiltonian systems, A perturbation theory approach to the stability of the Pais-Uhlenbeck oscillator, Open problems, questions and challenges in finite- dimensional integrable systems, Monodromy in the champagne bottle, Superintegrable Hamiltonian systems: Geometry and perturbations, Topological classification of Lagrangian fibrations, Geometric quantization of completely integrable Hamiltonian systems in the action-angle variables

Cites Work

• On global action-angle coordinates