Lower dimensional invariant tori in the regions of instability for nearly integrable Hamiltonian systems

DOI10.1007/s002200050618zbMath0935.70013OpenAlexW2032280651MaRDI QIDQ1302023

Chong-Qing Cheng

Publication date: 26 April 2000

Published in: Communications in Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s002200050618

zbMATH Keywords

perturbationHamiltonian systemsKAM theoryinvariant toricontinuation of isolated periodic orbitsdiophantine condition for frequenciesnon-degenerate integrable partPoincaré-Birkhoff fixed point theory

Mathematics Subject Classification ID

Dynamical systems in classical and celestial mechanics (37N05) Stability problems for problems in Hamiltonian and Lagrangian mechanics (70H14) Perturbation theories for problems in Hamiltonian and Lagrangian mechanics (70H09) Nearly integrable Hamiltonian systems, KAM theory (70H08)

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