Persistence of hyperbolic-type degenerate lower-dimensional invariant tori with prescribed frequencies in Hamiltonian systems

DOI10.1134/S1560354720060088zbMath1481.37067OpenAlexW3113207073WikidataQ115525873 ScholiaQ115525873MaRDI QIDQ2235112

Jiangong You, Junxiang Xu

Publication date: 20 October 2021

Published in: Regular and Chaotic Dynamics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s1560354720060088

zbMATH Keywords

Hamiltonian systeminvariant toriKAM iterationdegenerate equilibrium

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)

Related Items

Persistence of degenerate hyperbolic lower-dimensional invariant tori in Hamiltonian systems with Bruno’s conditions ⋮ Persistence of multiscale degenerate invariant tori for reversible systems with multiscale degenerate equilibrium points ⋮ Response solutions of a class of degenerate quasi-periodic systems with a small parameter ⋮ Persistence of degenerate lower dimensional invariant tori with prescribed frequencies in reversible systems ⋮ Response solutions for completely degenerate oscillators under arbitrary quasi-periodic perturbations ⋮ Persistence of degenerate lower dimensional invariant tori in reversible systems with Bruno non-degeneracy conditions ⋮ Response solutions of 3-dimensional degenerate quasi-periodic systems with small parameter ⋮ Persistence of lower dimensional degenerate invariant tori with prescribed frequencies in Hamiltonian systems with small parameter ⋮ Persistence of multi-dimensional degenerate hyperbolic lower dimensional invariant tori in reversible systems

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