Stationary modulated-amplitude waves in the 1D complex Ginzburg-Landau equation

DOI10.1016/S0167-2789(03)00289-6zbMath1046.37036arXivnlin/0208001MaRDI QIDQ596355

Predrag Cvitanović, Nicolas Garnier, Yueheng Lan

Publication date: 10 August 2004

Published in: Physica D (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/nlin/0208001

zbMATH Keywords

stabilityexistenceperiodic solutionsHopf bifurcationspatio-temporal chaosreflection symmetrynumerical calculationsCoherent structuresComplex Ginzburg-Landau equation

Mathematics Subject Classification ID

Periodic solutions to ordinary differential equations (34C25) KdV equations (Korteweg-de Vries equations) (35Q53) Nonlinear effects in hydrodynamic stability (76E30) Applications of dynamical systems (37N99) Dynamical aspects of symmetries, equivariant bifurcation theory (37G40)

Related Items (6)

Standing waves of the complex Ginzburg-Landau equation ⋮ Existence of standing waves for the complex Ginzburg-Landau equation ⋮ Dark soliton dynamics under the complex Ginzburg-Landau equation ⋮ Cycle expansions: from maps to turbulence ⋮ Unfolding spatiotemporal dynamics through symmetry reduction based on orbit topology ⋮ Non-existence of elliptic travelling wave solutions of the complex Ginzburg--Landau equation

Cites Work

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