The structure of spiral-domain patterns and shocks in the \(2\)D complex Ginzburg-Landau equation

DOI10.1016/S0167-2789(97)00025-0zbMath0938.35176OpenAlexW2075611647MaRDI QIDQ1963293

Edward Ott, Greg Huber, Tomas Bohr

Publication date: 24 January 2000

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

Full work available at URL: https://doi.org/10.1016/s0167-2789(97)00025-0

zbMATH Keywords

spiral wavescomplex Ginzburg-Landau equationpatterns of order and disorder in spatio-temporal fields

Mathematics Subject Classification ID

Nonlinear effects in hydrodynamic stability (76E30) NLS equations (nonlinear Schrödinger equations) (35Q55) Developmental biology, pattern formation (92C15)

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Cites Work

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• Analytical description of a state dominated by spiral defects in two-dimensional extended systems
• Dynamics of phase singularities in two-dimensional oscillating systems
• Fronts, pulses, sources and sinks in generalized complex Ginzburg-Landau equations
• Slowly Varying Waves and Shock Structures in Reaction-Diffusion Equations
• Spiral Waves in Reaction-Diffusion Equations
• Pattern formation outside of equilibrium

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