Persistence of multi-dimensional degenerate hyperbolic lower dimensional invariant tori in reversible systems

DOI10.1016/j.jde.2022.11.037OpenAlexW4310117577MaRDI QIDQ2111233

Junxiang Xu, Xiao-Mei Yang

Publication date: 28 December 2022

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

Full work available at URL: https://doi.org/10.1016/j.jde.2022.11.037

zbMATH Keywords

reversible systemKAM iterationlower dimensional invariant toridegenerate equilibrium point

Mathematics Subject Classification ID

Quasi-periodic motions and invariant tori for nonlinear problems in mechanics (70K43) Perturbations of finite-dimensional Hamiltonian systems, normal forms, small divisors, KAM theory, Arnol'd diffusion (37J40) Stability problems for finite-dimensional Hamiltonian and Lagrangian systems (37J25) Nearly integrable Hamiltonian systems, KAM theory (70H08) General theory of finite-dimensional Hamiltonian and Lagrangian systems, Hamiltonian and Lagrangian structures, symmetries, invariants (37J06)

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