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.
|Number of pages||6|
|Journal||Physica A: Statistical Mechanics and its Applications|
|State||Published - 1 Sep 2003|
|Event||13th Conference on Nonequilibrium Statist - Colonia del Sacramento, Uruguay|
Duration: 9 Dec 2002 → 13 Dec 2002
Bibliographical noteFunding 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.
- Ginzburg-Landau equation
- Localized structures