On the stability of localized structures in the complex Ginzburg-Landau equation

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Abstract

The stability of localized structures in the complex Ginzburg-Landau equation was analyzed. A matching approach was used in order to calculate the asymptotic value of the gradient of the phase of the localized structure. A linear analysis which gave an indication for the existence of pulses with an oscillating modulus was also presented.

Original languageEnglish
Pages (from-to)23-28
Number of pages6
JournalPhysica A: Statistical Mechanics and its Applications
Volume327
Issue number1-2
DOIs
StatePublished - 1 Sep 2003
Event13th Conference on Nonequilibrium Statist - Colonia del Sacramento, Uruguay
Duration: 9 Dec 200213 Dec 2002

Bibliographical note

Funding Information:
It is a pleasure to thank Helmut Brand for stimulating discussions and hospitality during my stay at the University of Bayreuth, Germany. This work has been partially supported by FAI (U. de los Andes, P. ICIV-001-02), FONDECYT (P. 1020374) and by the EGK “Non-equilibrium Phenomena and Phase Transitions in Complex Systems” of the Deutsche Forschungsgemeinschaft.

Keywords

  • Bifurcations
  • Ginzburg-Landau equation
  • Localized structures

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