Invariant curves of analytic reversible mappings under Brjuno-Rüssmann's non-resonant condition

DOI10.1007/s10884-014-9366-1zbMath1320.47009OpenAlexW2055963392MaRDI QIDQ487948

Junxiang Xu, Dongfeng Zhang

Publication date: 23 January 2015

Published in: Journal of Dynamics and Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10884-014-9366-1

zbMATH Keywords

invariant curvesreversible mappingsKAM iterationBrjuno-Rüssmann's non-resonant condition

Mathematics Subject Classification ID

Functional calculus for linear operators (47A60) Functions whose values are linear operators (operator- and matrix-valued functions, etc., including analytic and meromorphic ones) (47A56) Factorization theory (including Wiener-Hopf and spectral factorizations) of linear operators (47A68)

Related Items (10)

On the reducibility of analytic quasi-periodic systems with Liouvillean basic frequencies ⋮ On invariant tori with prescribed frequency in Hamiltonian systems ⋮ Reducibility of three dimensional skew symmetric system with Liouvillean basic frequencies ⋮ Existence of invariant curves for degenerate quasi-periodic reversible mappings ⋮ Existence of invariant curves for degenerate almost periodic reversible mappings ⋮ On the linearization of vector fields on a torus with prescribed frequency ⋮ Elliptic-type degenerate invariant tori for quasi-periodically forced four-dimensional non-conservative systems ⋮ Existence of invariant curves with prescribed frequency for degenerate area preserving mappings ⋮ On the reducibility of linear quasi-periodic systems with Liouvillean basic frequencies and multiple eigenvalues ⋮ Reducibility of a class of nonlinear quasi-periodic systems with Liouvillean basic frequencies

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