Lower-dimensional tori for generic Hamiltonian systems

DOI10.1007/BF02885962zbMath1195.37038MaRDI QIDQ1428867

Shaoli Wang, Chong-Qing Cheng

Publication date: 18 May 2004

Published in: Chinese Science Bulletin (Search for Journal in Brave)

zbMATH Keywords

resonancemixed-type tori

Mathematics Subject Classification ID

Perturbations of finite-dimensional Hamiltonian systems, normal forms, small divisors, KAM theory, Arnol'd diffusion (37J40) Periodic and quasi-periodic flows and diffeomorphisms (37C55) Nearly integrable Hamiltonian systems, KAM theory (70H08)

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Cites Work

• Birkhoff periodic orbits for small perturbations of completely integrable Hamiltonian systems with convex Hamiltonian
• On elliptic lower dimensional tori in Hamiltonian systems
• Lower dimensional invariant tori in the regions of instability for nearly integrable Hamiltonian systems
• Birkhoff-Kolmogorov-Arnold-Moser tori in convex Hamiltonian systems
• THE MECHANISM OF DESTRUCTION OF RESONANCE TORI OF HAMILTONIAN SYSTEMS
• Introduction to Hamiltonian dynamical systems and the \(N\)-body problem