Multiscale KAM theorem for Hamiltonian systems
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Publication:1993958
DOI10.1016/J.JDE.2018.07.039zbMath1401.37066OpenAlexW2884267177WikidataQ129471127 ScholiaQ129471127MaRDI QIDQ1993958
Weichao Qian, Xue Yang, Yong Li
Publication date: 6 November 2018
Published in: Journal of Differential Equations (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.jde.2018.07.039
Perturbations of finite-dimensional Hamiltonian systems, normal forms, small divisors, KAM theory, Arnol'd diffusion (37J40) Nearly integrable Hamiltonian systems, KAM theory (70H08)
Related Items (6)
A Moser theorem for multiscale mappings ⋮ KAM in generalized Hamiltonian systems with multi-scales ⋮ Quasiperiodic Poincaré persistence at high degeneracy ⋮ Persistence of Lagrange invariant tori at tangent degeneracy ⋮ Iso-manifold KAM persistence ⋮ THE ISOENERGETIC KAM-TYPE THEOREM AT RESONANT CASE fOR NEARLY INTEGRABLE HAMILTONIAN SYSTEMS
Cites Work
- Unnamed Item
- Unnamed Item
- Lower-dimensional tori in multi-scale, nearly integrable Hamiltonian systems
- Arnold's theorem on properly degenerate systems with the Rüssmann nondegeneracy
- Invariant tori in Hamiltonian systems with high order proper degeneracy
- Reduction of some perturbed Keplerian problems
- KAM stability for a three-body problem of the Solar system
- Dynamical systems I. Ordinary differential equations and smooth dynamical systems. Transl. from the Russian
- Existence of KAM tori in degenerate Hamiltonian systems
- A quasi-periodic Poincaré's theorem
- Invariant tori in non-degenerate nearly integrable Hamiltonian systems
- Poincaré-Treshchev mechanism in multi-scale, nearly integrable Hamiltonian systems
- Persistence of invariant tori on submanifolds in Hamiltonian systems
- KAM-stable Hamiltonians
- Regular and singular reductions in the spatial three-body problem
- Corrigendum for the paper ``Invariant tori for nearly integrable Hamiltonian systems with degeneracy
- Degenerate lower-dimensional tori in Hamiltonian systems
- Stability of nearly integrable, degenerate Hamiltonian systems with two degrees of freedom
- Persistence of lower dimensional tori of general types in Hamiltonian systems
- Scaling Hamiltonian Systems
- Persistence of invariant tori in generalized Hamiltonian systems
- From the restricted to the full three–body problem
- Geometric Averaging of Hamiltonian Systems: Periodic Solutions, Stability, and KAM Tori
- ON POINCARÉ - TRESHCHEV TORI IN HAMILTONIAN SYSTEMS
- SMALL DENOMINATORS AND PROBLEMS OF STABILITY OF MOTION IN CLASSICAL AND CELESTIAL MECHANICS
- Periodic solutions of the N-body problem
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