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, wit...

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Detalhes bibliográficos
Autores: Aguareles Carrero, Maria, Chapman, Jonathan S., Witelski, T.
Tipo de documento: artigo
Estado:Versão publicada
Data de publicação:2008
País:España
Recursos:Varias* (Consorci de Biblioteques Universitáries de Catalunya, Centre de Serveis Científics i Acadèmics de Catalunya)
Repositório:Recercat. Dipósit de la Recerca de Catalunya
OAI Identifier:oai:recercat.cat:10256/8982
Acesso em linha:http://hdl.handle.net/10256/8982
Access Level:Acceso aberto
Palavra-chave:Equacions diferencials parcials
Differential equations, Partial
Equacions diferencials no lineals
Differential equations, Nonlinear
Equacions d'ona
Wave equation
Moviment ondulatori, Teoria del
Wave-motion, Theory of
Descrição
Resumo: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