Completely degenerate responsive tori in Hamiltonian systems
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Publication:5136521
DOI10.1088/1361-6544/aba093zbMath1455.37048OpenAlexW3091906543MaRDI QIDQ5136521
Publication date: 26 November 2020
Published in: Nonlinearity (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1088/1361-6544/aba093
KAM theoryresponse solutioncompletely degenerate Hamiltoniandegenerate harmonic oscillatorsweak non-resonant condition
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) Nearly integrable Hamiltonian systems, KAM theory (70H08)
Related Items (16)
Degenerate response tori in Hamiltonian systems with higher zero-average perturbation ⋮ Persistence of degenerate hyperbolic lower-dimensional invariant tori in Hamiltonian systems with Bruno’s conditions ⋮ Response solutions for strongly dissipative quasi-periodically forced systems with arbitrary nonlinearities and frequencies ⋮ Persistence of multiscale degenerate invariant tori for reversible systems with multiscale degenerate equilibrium points ⋮ Response solutions in singularly perturbed, quasi-periodically forced nonlinear oscillators ⋮ Response solutions for degenerate reversible harmonic oscillators with zero-average perturbation ⋮ Response solutions of a class of degenerate quasi-periodic systems with a small parameter ⋮ Response solutions for completely degenerate oscillators under arbitrary quasi-periodic perturbations ⋮ The persistence of degenerate lower-dimensional tori in reversible systems with a degenerate normal equilibrium point ⋮ Response solutions of 2-dimensional degenerate systems under quasi-periodic perturbations ⋮ Coexistence of hyperbolic and elliptic invariant tori for completely degenerate quasi-periodically forced maps ⋮ Parabolic invariant tori in quasi-periodically forced skew-product maps ⋮ Moser's theorem for hyperbolic-type degenerate lower tori in Hamiltonian system ⋮ Response solutions of 3-dimensional degenerate quasi-periodic systems with small parameter ⋮ Response solutions in degenerate oscillators under degenerate perturbations ⋮ Persistence of multi-dimensional degenerate hyperbolic lower dimensional invariant tori in reversible systems
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