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Interaction of Spiral Waves in the Complex Ginzburg-Landau Equation

Solutions of the general cubic complex Ginzburg-Landau equation comprising multiple spiral waves are considered, and laws of motion for the centers are derived. The direction of the motion changes from along the line of centers to perpendicular to the line of centers as the separation increases, with the strength of the interaction algebraic at small separations and exponentially small at large separations. The corresponding asymptotic wave number and frequency are also determined, which evolve slowly as the spirals move

漏 Physical Review Letters, n煤m. 101, p. 224101

American Physical Society

Author: Aguareles Carrero, Maria
Chapman, Jonathan S.
Witelski, T.
Date: 2008
Abstract: Solutions of the general cubic complex Ginzburg-Landau equation comprising multiple spiral waves are considered, and laws of motion for the centers are derived. The direction of the motion changes from along the line of centers to perpendicular to the line of centers as the separation increases, with the strength of the interaction algebraic at small separations and exponentially small at large separations. The corresponding asymptotic wave number and frequency are also determined, which evolve slowly as the spirals move
Format: application/pdf
ISSN: 0031-9007 (versi贸 paper)
1079-7114 (versi贸 electr貌nica)
Document access: http://hdl.handle.net/10256/8982
Language: eng
Publisher: American Physical Society
Collection: Reproducci贸 digital del document publicat a: http://dx.doi.org/10.1103/PhysRevLett.101.224101
Articles publicats (D-IMA)
Is part of: 漏 Physical Review Letters, n煤m. 101, p. 224101
Rights: Tots els drets reservats
Subject: Equacions diferencials parcials
Differential equations, Partial
Equacions diferencials no lineals
Differential equations, Nonlinear
Equacions d鈥檕na
Wave equation
Title: Interaction of Spiral Waves in the Complex Ginzburg-Landau Equation
Type: info:eu-repo/semantics/article
Repository: DUGiDocs

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