A KAM theorem for the elliptic lower dimensional tori with one normal frequency in reversible systems

DOI10.3934/dcds.2017092zbMath1364.37131OpenAlexW2572561293MaRDI QIDQ525582

Junxiang Xu, Dongfeng Zhang, Xiaocai Wang

Publication date: 5 May 2017

Published in: Discrete and Continuous Dynamical Systems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3934/dcds.2017092

zbMATH Keywords

topological degreereversible systemKAM iterationlower-dimensional tori

Mathematics Subject Classification ID

Perturbation theory of linear operators (47A55) Perturbations of finite-dimensional Hamiltonian systems, normal forms, small divisors, KAM theory, Arnol'd diffusion (37J40)

Related Items (3)

Partial preservation of frequencies and Floquet exponents of invariant tori in the reversible KAM context 2 ⋮ On the persistence of lower-dimensional tori in reversible systems with hyperbolic-type degenerate equilibrium point under small perturbations ⋮ On the persistence of lower-dimensional tori in reversible systems with high dimensional degenerate equilibrium under small perturbations

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