Quasiperiodic motions in dynamical systems: Review of a renormalization group approach
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Publication:3580893
DOI10.1063/1.3271653zbMath1417.37213arXiv0910.0755OpenAlexW1986301830MaRDI QIDQ3580893
Publication date: 13 August 2010
Published in: Journal of Mathematical Physics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/0910.0755
Quasi-periodic motions and invariant tori for nonlinear problems in mechanics (70K43) Renormalization group methods in equilibrium statistical mechanics (82B28) 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)
Long time behaviour of a local perturbation in the isotropic XY chain under periodic forcing ⋮ Response solutions for strongly dissipative quasi-periodically forced systems with arbitrary nonlinearities and frequencies ⋮ Local behavior near quasi-periodic solutions of conformally symplectic systems ⋮ Response Solutions for Quasi-Periodically Forced, Dissipative Wave Equations ⋮ Renormalization group method for singular perturbation initial value problems with delays ⋮ KAM theory in configuration space and cancellations in the Lindstedt series ⋮ Response solutions for forced systems with large dissipation and arbitrary frequency vectors ⋮ On parametric Gevrey asymptotics for some Cauchy problems in quasiperiodic function spaces ⋮ Response Solutions to Quasi-Periodically Forced Systems, Even to Possibly Ill-Posed PDEs, with Strong Dissipation and any Frequency Vectors ⋮ Domains of analyticity for response solutions in strongly dissipative forced systems ⋮ Resonant tori of arbitrary codimension for quasi-periodically forced systems ⋮ Convergent series for quasi-periodically forced strongly dissipative systems ⋮ Periodic driving at high frequencies of an impurity in the isotropic XY chain ⋮ Quasiperiodic Hamiltonian motions, scale invariance, harmonic oscillators ⋮ Forced quasi-periodic oscillations in strongly dissipative systems of any finite dimension ⋮ The high-order Euler method and the spin-orbit model
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