Quasi-periodic response solutions in forced reversible systems with Liouvillean frequencies
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Publication:2013157
DOI10.1016/J.JDE.2017.05.007zbMath1379.37110OpenAlexW2615770177MaRDI QIDQ2013157
Publication date: 3 August 2017
Published in: Journal of Differential Equations (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.jde.2017.05.007
Nonlinear oscillations and coupled oscillators for ordinary differential equations (34C15) 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 (17)
Response solution to complex Ginzburg-Landau equation with quasi-periodic forcing of Liouvillean frequency ⋮ Almost periodic solutions in forced harmonic oscillators with infinite frequencies ⋮ Response solutions for strongly dissipative quasi-periodically forced systems with arbitrary nonlinearities and frequencies ⋮ Response solutions to harmonic oscillators beyond multi-dimensional Brjuno frequency ⋮ Response solution to ill-posed Boussinesq equation with quasi-periodic forcing of Liouvillean frequency ⋮ Bounded non-response solutions with Liouvillean forced frequencies for nonlinear wave equations ⋮ Response solutions in singularly perturbed, quasi-periodically forced nonlinear oscillators ⋮ Response solutions for degenerate reversible harmonic oscillators with zero-average perturbation ⋮ Response solutions for KdV equations with Liouvillean frequency ⋮ Quasi-periodically forced and reversible vibrations of beam equations with Liouvillean frequencies ⋮ Response solutions for finite smooth harmonic oscillators with quasi-periodic forcing ⋮ The existence of almost periodic response solutions for superlinear Duffing's equations ⋮ Response solutions of degenerate quasi-periodic systems under small perturbations ⋮ Completely degenerate responsive tori in Hamiltonian systems ⋮ Stoker's Problem for Quasi-periodically Forced Reversible Systems with Multidimensional Liouvillean Frequency ⋮ Response solutions in degenerate oscillators under degenerate perturbations ⋮ On the persistence of lower-dimensional tori in reversible systems with high dimensional degenerate equilibrium under small perturbations
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- Response solutions for quasi-periodically forced harmonic oscillators
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- Combination tones for Duffing's equation
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