Quasi-periodic solutions for the generalized Ginzburg-Landau equation with derivatives in the nonlinearity

DOI10.1007/s10884-011-9229-yzbMath1231.35241OpenAlexW2039240448WikidataQ115383571 ScholiaQ115383571MaRDI QIDQ657762

Hongzi Cong, Mei Na Gao

Publication date: 10 January 2012

Published in: Journal of Dynamics and Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10884-011-9229-y

zbMATH Keywords

KAM theoryquasi-periodic solutioninvariant torusgeneralized Ginzburg-Landau equation

Mathematics Subject Classification ID

Periodic solutions to PDEs (35B10) Perturbations of finite-dimensional Hamiltonian systems, normal forms, small divisors, KAM theory, Arnol'd diffusion (37J40) Nearly integrable Hamiltonian systems, KAM theory (70H08) Ginzburg-Landau equations (35Q56)

Related Items

Response solution to complex Ginzburg-Landau equation with quasi-periodic forcing of Liouvillean frequency ⋮ Recurrent solutions of the derivative Ginzburg–Landau equation with boundary forces ⋮ Quasi-periodic solution for the complex Ginzburg-Landau equation with continuous spectrum ⋮ Stable manifolds to bounded solutions in possibly ill-posed PDEs

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