Interaction of Spiral Waves in the Complex Ginzburg-Landau Equation

M. Aguareles, S. J. Chapman, and T. Witelski
Phys. Rev. Lett. 101, 224101 – Published 25 November 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.

  • Figure
  • Figure
  • Received 22 July 2008

DOI:https://doi.org/10.1103/PhysRevLett.101.224101

©2008 American Physical Society

Authors & Affiliations

M. Aguareles1, S. J. Chapman2, and T. Witelski2

  • 1Departament de Matemàtica Aplicada I, Universitat Politècnica de Catalunya, Diagonal 647, 08028 Barcelona, Spain
  • 2OCIAM, Mathematical Institute, 24-29 St Giles’s, Oxford OX1 3LB United Kingdom

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Issue

Vol. 101, Iss. 22 — 28 November 2008

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