Lower-dimensional tori in multi-scale, nearly integrable Hamiltonian systems

DOI10.1007/s00023-016-0516-3zbMath1380.37118OpenAlexW2510230715MaRDI QIDQ512457

Yingfei Yi, Lu Xu, Yong Li

Publication date: 24 February 2017

Published in: Annales Henri Poincaré (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00023-016-0516-3

zbMATH Keywords

celestial mechanicsnearly integrable Hamiltonian systemresonant invariant tori

Mathematics Subject Classification ID

Perturbations of finite-dimensional Hamiltonian systems, normal forms, small divisors, KAM theory, Arnol'd diffusion (37J40) Celestial mechanics (70F15) Dynamical systems in classical and celestial mechanics (37N05) Nearly integrable Hamiltonian systems, KAM theory (70H08)

Related Items

A Moser theorem for multiscale mappings ⋮ KAM in generalized Hamiltonian systems with multi-scales ⋮ Quasiperiodic Poincaré persistence at high degeneracy ⋮ Resonance conjecture via weak KAM theory ⋮ Poincaré-Treshchev mechanism in multi-scale, nearly integrable Hamiltonian systems ⋮ On the continuation of degenerate periodic orbits via normal form: full dimensional resonant tori ⋮ On the continuation of degenerate periodic orbits via normal form: lower dimensional resonant tori ⋮ Multiscale KAM theorem for Hamiltonian systems ⋮ Lower dimension tori of general types in multi-scale Hamiltonian systems ⋮ Persistence of Lagrange invariant tori at tangent degeneracy ⋮ THE ISOENERGETIC KAM-TYPE THEOREM AT RESONANT CASE fOR NEARLY INTEGRABLE HAMILTONIAN SYSTEMS

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