Instability of spatially quasi-periodic states of the Ginzburg-Landau equation

DOI10.1098/rspa.1994.0024zbMath0808.35052OpenAlexW2051496515MaRDI QIDQ4307722

George Rowlands, Thomas J. Bridges

Publication date: 5 March 1995

Published in: Proceedings of the Royal Society of London. Series A: Mathematical and Physical Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1098/rspa.1994.0024

zbMATH Keywords

linear stabilityGinzburg-Landau equation with real coefficientsKAM persistence theorem for invariant toroidsspatially quasi-periodic states

Mathematics Subject Classification ID

Nonlinear parabolic equations (35K55) Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) Nonlinear effects in hydrodynamic stability (76E30) Statistical mechanics of superconductors (82D55) Completely integrable finite-dimensional Hamiltonian systems, integration methods, integrability tests (37J35) Periodic and quasi-periodic flows and diffeomorphisms (37C55)

Related Items (9)

A proof of the Benjamin-Feir instability ⋮ Stability of small periodic waves for the nonlinear Schrödinger equation ⋮ Instability of quasiperiodic solutions of the Ginzburg–Landau equation ⋮ A note on the instability of spatially quasi-periodic states of the Ginzburg-Landau equation ⋮ Instability of Spatially — Periodic States for a Family of Semilinear PDE's on an Infinite Strip ⋮ Orbital stability of periodic waves for the nonlinear Schrödinger equation ⋮ Comparison of Inertial Manifolds and Application to Modulated Systems ⋮ The modulational instability for a generalized Korteweg-de Vries equation ⋮ Global dynamics in nonconservative nonlinear Schrödinger equations

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