Persistence of lower dimensional invariant tori for nearly integrable Hamiltonian systems

DOI10.1016/S0362-546X(01)00904-XzbMath1019.37038OpenAlexW2070112709MaRDI QIDQ1863442

Junxiang Xu

Publication date: 11 March 2003

Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0362-546x(01)00904-x

zbMATH Keywords

regularityperturbationsnormal formsKAM theoryresonanceinvariant torinonresonance conditionsnearly integrable Hamiltonian systems

Mathematics Subject Classification ID

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
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Periodic and quasi-periodic solutions of nonlinear wave equations via KAM theory
• On elliptic lower dimensional tori in Hamiltonian systems
• Perturbations of lower dimensional tori for Hamiltonian systems
• Nearly integrable infinite-dimensional Hamiltonian systems
• Persistence of elliptic lower dimensional invariant tori for small perturbation of degenerate integrable Hamiltonian systems
• On Melnikov's persistency problem
• Convergent series expansions for quasi-periodic motions
• Newton's method and periodic solutions of nonlinear wave equations

This page was built for publication: Persistence of lower dimensional invariant tori for nearly integrable Hamiltonian systems