Gevrey-smoothness of elliptic lower-dimensional invariant tori in Hamiltonian systems under Rüssmann's non-degeneracy condition

DOI10.1016/j.jmaa.2005.10.029zbMath1102.37040OpenAlexW2086341385MaRDI QIDQ852738

Junxiang Xu, Dongfeng Zhang

Publication date: 15 November 2006

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2005.10.029

zbMATH Keywords

Hamiltonian systemsKAM iterationGevrey-smoothness

Mathematics Subject Classification ID

Related Items (11)

Gevrey-smoothness of elliptic lower dimensional invariant tori in Hamiltonian systems ⋮ Partial preservation of frequencies and Floquet exponents in KAM theory ⋮ A new KAM iteration with nearly infinitely small steps in reversible systems of polynomial character ⋮ On invariant tori with prescribed frequency in Hamiltonian systems ⋮ On invariant tori of nearly integrable Hamiltonian systems with quasiperiodic perturbation ⋮ Gevrey regularity of invariant curves of analytic reversible mappings ⋮ Persistence of lower dimensional invariant tori in a class of reversible systems ⋮ Gevrey smoothness of families of invariant curves for analytic area preserving mappings ⋮ Gevrey-smoothness of lower dimensional hyperbolic invariant tori for nearly integrable symplectic mappings ⋮ Invariant hyperbolic tori for Gevrey-smooth Hamiltonian systems under Rüssmann's non-degeneracy condition ⋮ On invariant tori of vector field under weaker non-degeneracy condition

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