On the persistence of lower-dimensional elliptic tori with prescribed frequencies in reversible systems

DOI10.3934/dcds.2016.36.1677zbMath1333.37091OpenAlexW2524958077MaRDI QIDQ256185

Dongfeng Zhang, Junxiang Xu, Xiaocai Wang

Publication date: 9 March 2016

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

Full work available at URL: https://doi.org/10.3934/dcds.2016.36.1677

zbMATH Keywords

persistenceKAM theoryreversible systemKAM iterationlower dimensional invariant torinon-degeneracy condition

Mathematics Subject Classification ID

Small divisors, rotation domains and linearization in holomorphic dynamics (37F50) Perturbation theory of linear operators (47A55) Perturbations of finite-dimensional Hamiltonian systems, normal forms, small divisors, KAM theory, Arnol'd diffusion (37J40)

Related Items (8)

Whitney smooth families of invariant tori within the reversible context 2 of KAM theory ⋮ A new KAM theorem for the hyperbolic lower dimensional tori in reversible systems ⋮ Non-Floquet invariant tori in reversible systems ⋮ On the linearization of vector fields on a torus with prescribed frequency ⋮ On the persistence of lower-dimensional tori in reversible systems with hyperbolic-type degenerate equilibrium point under small perturbations ⋮ A KAM theorem for the elliptic lower dimensional tori with one normal frequency in reversible systems ⋮ On the persistence of lower-dimensional tori in reversible systems with high dimensional degenerate equilibrium under small perturbations ⋮ Melnikov-type theorem for time reversible system

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