Gevrey regularity of invariant curves of analytic reversible mappings
DOI10.1155/2010/324378zbMath1237.37041OpenAlexW1993311909WikidataQ59253426 ScholiaQ59253426MaRDI QIDQ623586
Publication date: 8 February 2011
Published in: Advances in Difference Equations (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1155/2010/324378
Perturbations of finite-dimensional Hamiltonian systems, normal forms, small divisors, KAM theory, Arnol'd diffusion (37J40) (C^infty)-functions, quasi-analytic functions (26E10) Symmetries and conservation laws, reverse symmetries, invariant manifolds and their bifurcations, reduction for problems in Hamiltonian and Lagrangian mechanics (70H33) Nearly integrable Hamiltonian systems, KAM theory (70H08) Dynamical aspects of twist maps (37E40)
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Cites Work
- Unnamed Item
- Convergence of differentiable functions on closed sets and remarks on the proofs of the ``converse approximation lemmas
- Gevrey-smoothness of elliptic lower-dimensional invariant tori in Hamiltonian systems under Rüssmann's non-degeneracy condition
- On elliptic lower dimensional tori for Gevrey-smooth Hamiltonian systems under Rüssmann's non-degeneracy condition
- Gevrey-smoothness of invariant tori for analytic nearly integrable Hamiltonian systems under Rüssmann's non-degeneracy condition
- Reversible systems
- Invariant curves of analytic perturbed nontwist area preserving maps
- Unfoldings of quasi-periodic tori in reversible systems
- Invariant tori for nearly integrable Hamiltonian systems with degeneracy
- Invariant tori, effective stability, and quasimodes with exponentially small error terms. I: Birkoff normal forms
- Invariant curves of reversible mappings with small twist
- KAM-stable Hamiltonians
- A lecture on the classical KAM theorem
- An Extension Theorem of Whitney Type for Non Quasi-Analytic Classes of Functions
- Whitney's extension theorem for nonquasianalytic classes of ultradifferentiable functions
- A note on Gevrey regular KAM theory and the inverse approximation lemma
- Invariant curve theorem for quasiperiodic twist mappings and stability of motion in the Fermi-Ulam problem
- Invariant curves of quasi-periodic reversible mappings
- KAM theorem for Gevrey Hamiltonians
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