Oscillator synchronisation under arbitrary quasi-periodic forcing

DOI10.1007/s00220-012-1548-2zbMath1262.34058arXiv1011.0933OpenAlexW3102210646MaRDI QIDQ694992

Guido Gentile, Livia Corsi

Publication date: 20 December 2012

Published in: Communications in Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1011.0933

Mathematics Subject Classification ID

Forced motions for nonlinear problems in mechanics (70K40) Quasi-periodic motions and invariant tori for nonlinear problems in mechanics (70K43) Nonlinear oscillations and coupled oscillators for ordinary differential equations (34C15) Synchronization of solutions to ordinary differential equations (34D06)

Related Items (17)

Degenerate response tori in Hamiltonian systems with higher zero-average perturbation ⋮ Response Solutions for Quasi-Periodically Forced, Dissipative Wave Equations ⋮ Response solutions in singularly perturbed, quasi-periodically forced nonlinear oscillators ⋮ Response solutions for degenerate reversible harmonic oscillators with zero-average perturbation ⋮ Reducibility of quasi-periodically forced circle flows ⋮ Persistence of degenerate lower dimensional invariant tori with prescribed frequencies in reversible systems ⋮ Response solutions for completely degenerate oscillators under arbitrary quasi-periodic perturbations ⋮ Lower-dimensional invariant tori for perturbations of a class of non-convex Hamiltonian functions ⋮ Response solutions of degenerate quasi-periodic systems under small perturbations ⋮ Completely degenerate responsive tori in Hamiltonian systems ⋮ Resonant tori of arbitrary codimension for quasi-periodically forced systems ⋮ Convergent series for quasi-periodically forced strongly dissipative systems ⋮ Soliton solutions and chaotic motions for the \((2+1)\)-dimensional Zakharov equations in a laser-induced plasma ⋮ 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 ⋮ Resonant motions in the presence of degeneracies for quasi-periodically perturbed systems

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