Residues of destructed resonance torus

DOI10.1007/s10884-021-09987-zzbMath1477.37066OpenAlexW3149676278WikidataQ115383211 ScholiaQ115383211MaRDI QIDQ2048678

Min Zhou, Chong-Qing Cheng

Publication date: 23 August 2021

Published in: Journal of Dynamics and Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10884-021-09987-z

zbMATH Keywords

resonancenearly integrable HamiltonianKAM invariant torus

Mathematics Subject Classification ID

Quasi-periodic motions and invariant tori for nonlinear problems in mechanics (70K43) Perturbations of finite-dimensional Hamiltonian systems, normal forms, small divisors, KAM theory, Arnol'd diffusion (37J40) Perturbations, KAM theory for infinite-dimensional Hamiltonian and Lagrangian systems (37K55) Nearly integrable Hamiltonian systems, KAM theory (70H08)

Cites Work

• Unnamed Item
• Unnamed Item
• Kolmogorov's theorem for low-dimensional invariant tori of Hamiltonian systems
• Birkhoff periodic orbits for small perturbations of completely integrable Hamiltonian systems with convex Hamiltonian
• Lower dimensional invariant tori in the regions of instability for nearly integrable Hamiltonian systems
• Birkhoff-Kolmogorov-Arnold-Moser tori in convex Hamiltonian systems
• Lower-dimensional invariant tori for perturbations of a class of non-convex Hamiltonian functions
• On the conservation of hyperbolic invariant tori for Hamiltonian systems
• THE MECHANISM OF DESTRUCTION OF RESONANCE TORI OF HAMILTONIAN SYSTEMS
• Minimal invariant tori in the resonant regions for nearly integrable Hamiltonian systems