Action-angle coordinates at singularities for analytic integrable systems

DOI10.1007/BF02571351zbMath0707.58026MaRDI QIDQ1812938

Hidekazu Ito

Publication date: 25 June 1992

Published in: Mathematische Zeitschrift (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/174233

zbMATH Keywords

HamiltonianBirkhoff normal formaction-angle coordinatesreal analytic integrable system

Mathematics Subject Classification ID

Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) Normal forms for dynamical systems (37G05) Completely integrable finite-dimensional Hamiltonian systems, integration methods, integrability tests (37J35) Dynamical aspects of finite-dimensional Hamiltonian and Lagrangian systems (37J99)

Related Items

Structurally stable nondegenerate singularities of integrable systems, On the topology of manifolds with completely integrable geodesic flows. II, Isoenergetic classification of integrable Hamiltonian systems in a neighborhood of a simple elliptic point, On the holonomy group associated with analytic continuations of solutions for integrable systems, Integrable systems and group actions, Critical loci for Higgs bundles, Unnamed Item, Singularities of integrable and near-integrable Hamiltonian systems, Equivariant normal form for nondegenerate singular orbits of integrable Hamiltonian systems, Integrability of Hamiltonian systems and Birkhoff normal forms in the simple resonance cases, Exact smooth classification of Hamiltonian vector fields on two-dimensional manifolds, Birkhoff normalization and superintegrability of Hamiltonian systems, Hidden toric symmetry and structural stability of singularities in integrable systems, Vanishing of the entropy pseudonorm for certain integrable systems

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