TY - JOUR
T1 - On the stability of localized structures in the complex Ginzburg-Landau equation
AU - Descalzi, O.
N1 - 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.
PY - 2003/9/1
Y1 - 2003/9/1
N2 - 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.
AB - 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.
KW - Bifurcations
KW - Ginzburg-Landau equation
KW - Localized structures
KW - Asymptotic stability
KW - Bifurcation (mathematics)
KW - Linear programming
KW - Mathematical models
KW - parameter estimation
UR - http://www.scopus.com/inward/record.url?scp=0141525381&partnerID=8YFLogxK
U2 - 10.1016/S0378-4371(03)00432-1
DO - 10.1016/S0378-4371(03)00432-1
M3 - Conference article
AN - SCOPUS:0141525381
SN - 0378-4371
VL - 327
SP - 23
EP - 28
JO - Physica A: Statistical Mechanics and its Applications
JF - Physica A: Statistical Mechanics and its Applications
IS - 1-2
T2 - 13th Conference on Nonequilibrium Statist
Y2 - 9 December 2002 through 13 December 2002
ER -