Instability of quasiperiodic solutions of the Ginzburg–Landau equation

DOI10.1017/S0308210500032649zbMath0840.35104MaRDI QIDQ4857065

Christopher K. R. T. Jones, Arjen Doelman, Robert A. Gardner

Publication date: 4 July 1996

Published in: Proceedings of the Royal Society of Edinburgh: Section A Mathematics (Search for Journal in Brave)

zbMATH Keywords

instabilityspectrumGinzburg-Landau equationquasiperiodic solutions

Mathematics Subject Classification ID

Scattering theory for PDEs (35P25) NLS equations (nonlinear Schrödinger equations) (35Q55)

Related Items (9)

Traveling fronts of a real supercritical Ginzburg-Landau equation coupled by a slow diffusion ⋮ Singularly perturbed and nonlocal modulation equations for systems with interacting instability mechanisms ⋮ Stability of small periodic waves for the nonlinear Schrödinger equation ⋮ Perturbation of the spectra for asymptotically constant differential operators and applications ⋮ INSTABILITIES OF WAVE TRAINS AND TURING PATTERNS IN LARGE DOMAINS ⋮ A note on the instability of spatially quasi-periodic states of the Ginzburg-Landau equation ⋮ Orbital stability of periodic waves for the nonlinear Schrödinger equation ⋮ Comparison of Inertial Manifolds and Application to Modulated Systems ⋮ On the spectra of periodic waves for infinite-dimensional Hamiltonian systems

Cites Work

• Unnamed Item
• Slow time-periodic solutions of the Ginzburg-Landau equation
• On the Eckhaus instability for spatially periodic patterns
• A stability index for steady state solutions of boundary value problems for parabolic systems
• Traveling waves in the complex Ginzburg-Landau equation
• Spatial structure of time-periodic solutions of the Ginzburg-Landau equation
• Stability of Travelling Wave Solutions of Diffusive Predator-Prey Systems
• Instability of spatially quasi-periodic states of the Ginzburg-Landau equation
• Finite bandwidth, finite amplitude convection

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