Globally superintegrable Hamiltonian systems

DOI10.1134/S0040577917060022zbMath1373.70015OpenAlexW2731907362MaRDI QIDQ1675852

Aleksandr V. Kurov, Gennadi A. Sardanashvily

Publication date: 3 November 2017

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

Full work available at URL: https://doi.org/10.1134/s0040577917060022

zbMATH Keywords

superintegrable systemcompletely integrable systemKepler systemaction-angle variablecentrally symmetric potential

Mathematics Subject Classification ID

Hamilton's equations (70H05) Completely integrable systems and methods of integration for problems in Hamiltonian and Lagrangian mechanics (70H06)

Related Items (2)

Hamiltonian and reversible systems with smooth families of invariant tori ⋮ Globally superintegrable Hamiltonian systems

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Le problème général des variables actions-angles. (The general problem of action-angle variables)
• Generalized Liouville method of integration of Hamiltonian systems
• Lectures on the geometry of Poisson manifolds
• Globally superintegrable Hamiltonian systems
• Noncommutative integrability, moment map and geodesic flows
• Superintegrable Hamiltonian systems: Geometry and perturbations
• Noncommutative integrability on noncompact invariant manifolds
• Global action-angle coordinates for completely integrable systems with noncompact invariant submanifolds
• On global action-angle coordinates
• The Liouville Arnold Nekhoroshev theorem for non-compact invariant manifolds
• Submersions, fibrations and bundles
• Bi-Hamiltonian partially integrable systems
• Orbits of Families of Vector Fields and Integrability of Distributions
• MOMENTUM MAPS, INDEPENDENT FIRST INTEGRALS AND INTEGRABILITY FOR CENTRAL POTENTIALS
• SUPERINTEGRABLE HAMILTONIAN SYSTEMS WITH NONCOMPACT INVARIANT SUBMANIFOLDS: KEPLER SYSTEM
• A global formulation of the Lie theory of transformation groups

This page was built for publication: Globally superintegrable Hamiltonian systems