scientific article; zbMATH DE number 2239835

Publication date: 21 December 2005

Title: zbMATH Open Web Interface contents unavailable due to conflicting licenses.

periodic solutions Hamiltonian formalism Poincaré-Birkhoff fixed point theorem Hamiltonian systems possessing many integrals

Mathematics Subject Classification ID

Symplectic manifolds (general theory) (53D05) Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) Hamilton's equations (70H05) Abstract critical point theory (Morse theory, Lyusternik-Shnirel'man theory, etc.) in infinite-dimensional spaces (58E05) Variational principles in infinite-dimensional spaces (58E30) Perturbations of finite-dimensional Hamiltonian systems, normal forms, small divisors, KAM theory, Arnol'd diffusion (37J40) Introductory exposition (textbooks, tutorial papers, etc.) pertaining to dynamical systems and ergodic theory (37-01) Celestial mechanics (70F15)

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