Resonant motions in the presence of degeneracies for quasi-periodically perturbed systems
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Publication:5262257
DOI10.1017/etds.2013.92zbMath1371.70061arXiv1202.4264OpenAlexW3102800439MaRDI QIDQ5262257
Publication date: 13 July 2015
Published in: Ergodic Theory and Dynamical Systems (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1202.4264
General perturbation schemes for nonlinear problems in mechanics (70K60) Quasi-periodic motions and invariant tori for nonlinear problems in mechanics (70K43) Perturbations of ordinary differential equations (34D10) Perturbations of finite-dimensional Hamiltonian systems, normal forms, small divisors, KAM theory, Arnol'd diffusion (37J40) Almost and pseudo-almost periodic solutions to ordinary differential equations (34C27)
Related Items
Degenerate response tori in Hamiltonian systems with higher zero-average perturbation ⋮ Paths of real roots for odd-degree polynomials with parameters ⋮ Response solutions in singularly perturbed, quasi-periodically forced nonlinear oscillators ⋮ Persistence of degenerate lower dimensional invariant tori with prescribed frequencies in reversible systems ⋮ Lower-dimensional invariant tori for perturbations of a class of non-convex Hamiltonian functions ⋮ Response solutions of degenerate quasi-periodic systems under small perturbations ⋮ On the continuation of degenerate periodic orbits via normal form: full dimensional resonant tori ⋮ Completely degenerate responsive tori in Hamiltonian systems ⋮ Resonant tori of arbitrary codimension for quasi-periodically forced systems ⋮ Response solutions of 3-dimensional degenerate quasi-periodic systems with small parameter ⋮ Response solutions in degenerate oscillators under degenerate perturbations ⋮ Persistence of lower dimensional degenerate invariant tori with prescribed frequencies in Hamiltonian systems with small parameter
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