Vortex Induced Rotation of Clusters of Localized States in the Complex Ginzburg-Landau Equation

Dmitry V. Skryabin and Andrei G. Vladimirov
Phys. Rev. Lett. 89, 044101 – Published 3 July 2002
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Abstract

We report existence of a qualitatively distinct class of spiral waves in the two-dimensional cubic-quintic complex Ginzburg-Landau equation. These are stable clusters of localized states rotating around a central vortex core emerging due to interference of the tails of the individual states involved. We also develop an asymptotic theory allowing calculation of the angular frequency and stability analysis of the rotating clusters.

  • Received 14 October 2001

DOI:https://doi.org/10.1103/PhysRevLett.89.044101

©2002 American Physical Society

Authors & Affiliations

Dmitry V. Skryabin1 and Andrei G. Vladimirov2

  • 1Department of Physics, University of Bath, Bath BA2 7AY, United Kingdom
  • 2Physics Faculty, St. Petersburg State University, St. Petersburg 198904, Russia

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Issue

Vol. 89, Iss. 4 — 22 July 2002

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