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Phys Rev Lett. 2002 Jul 22;89(4):044101. Epub 2002 Jul 3.

Vortex induced rotation of clusters of localized states in the complex Ginzburg-Landau equation.

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  • 1Department of Physics, University of Bath, Bath BA2 7AY, United Kingdom.


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.

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