A new KAM iteration with nearly infinitely small steps in reversible systems of polynomial character

DOI10.1007/s12346-017-0229-0zbMath1392.37048OpenAlexW2585789072MaRDI QIDQ1641857

Xiaocai Wang, Dongfeng Zhang, Junxiang Xu

Publication date: 20 June 2018

Published in: Qualitative Theory of Dynamical Systems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s12346-017-0229-0

zbMATH Keywords

invariant torireversible systemKAM iterationsmall divisorsBrjuno-Rüssmann's non-resonant condition

Mathematics Subject Classification ID

Quasi-periodic motions and invariant tori for nonlinear problems in mechanics (70K43) Perturbation theory of linear operators (47A55) Perturbations of finite-dimensional Hamiltonian systems, normal forms, small divisors, KAM theory, Arnol'd diffusion (37J40)

Related Items (2)

Non-Floquet invariant tori in reversible systems ⋮ On the persistence of lower-dimensional tori in reversible systems with hyperbolic-type degenerate equilibrium point under small perturbations

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