Resonant tori of arbitrary codimension for quasi-periodically forced systems

DOI10.1007/s00030-016-0425-7zbMath1375.70059arXiv1403.2872OpenAlexW1513087865MaRDI QIDQ523543

Guido Gentile, Livia Corsi

Publication date: 21 April 2017

Published in: NoDEA. Nonlinear Differential Equations and Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1403.2872

zbMATH Keywords

nonlinear systemsperturbationsHamiltonian systems

Mathematics Subject Classification ID

Nonlinear ordinary differential equations and systems (34A34) Oscillation theory, zeros, disconjugacy and comparison theory for ordinary differential equations (34C10) Perturbations of finite-dimensional Hamiltonian systems, normal forms, small divisors, KAM theory, Arnol'd diffusion (37J40) Symmetries and conservation laws, reverse symmetries, invariant manifolds and their bifurcations, reduction for problems in Hamiltonian and Lagrangian mechanics (70H33) Nearly integrable Hamiltonian systems, KAM theory (70H08)

Related Items

Degenerate response tori in Hamiltonian systems with higher zero-average perturbation, Response solutions in singularly perturbed, quasi-periodically forced nonlinear oscillators, Response solutions for degenerate reversible harmonic oscillators with zero-average perturbation, Persistence of degenerate lower dimensional invariant tori with prescribed frequencies in reversible systems, Quasiperiodic Poincaré persistence at high degeneracy, Response solutions of degenerate quasi-periodic systems under small perturbations, Completely degenerate responsive tori in Hamiltonian systems, Persistence of degenerate lower dimensional invariant tori in reversible systems with Bruno non-degeneracy conditions, Moser's theorem for hyperbolic-type degenerate lower tori in Hamiltonian system, Response solutions in degenerate oscillators under degenerate perturbations, Forced quasi-periodic oscillations in strongly dissipative systems of any finite dimension, THE ISOENERGETIC KAM-TYPE THEOREM AT RESONANT CASE fOR NEARLY INTEGRABLE HAMILTONIAN SYSTEMS, A reversible Nekhoroshev theorem for persistence of invariant tori in systems with symmetry

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