On elliptic lower dimensional tori for Gevrey-smooth Hamiltonian systems under Rüssmann's non-degeneracy condition
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Publication:874723
DOI10.3934/DCDS.2006.16.635zbMath1112.37046OpenAlexW2045632767MaRDI QIDQ874723
Publication date: 10 April 2007
Published in: Discrete and Continuous Dynamical Systems (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.3934/dcds.2006.16.635
Perturbations of finite-dimensional Hamiltonian systems, normal forms, small divisors, KAM theory, Arnol'd diffusion (37J40) Almost and pseudo-almost periodic solutions to ordinary differential equations (34C27) Nearly integrable Hamiltonian systems, KAM theory (70H08)
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Gevrey-smoothness of elliptic lower dimensional invariant tori in Hamiltonian systems ⋮ On the reducibility of analytic quasi-periodic systems with Liouvillean basic frequencies ⋮ 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 ⋮ Linearization of Gevrey flows on \(\mathbb{T}^d\) with a Brjuno type arithmetical condition ⋮ On invariant tori of vector field under weaker non-degeneracy condition
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