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

O. Descalzi

doi:10.1016/S0378-4371(03)00432-1

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

O. Descalzi^*

^*Autor correspondiente de este trabajo

Producción científica: Contribución a una revista › Artículo de la conferencia › revisión exhaustiva

10 Citas (Scopus)

Resumen

We study analytically the asymptotic linear stability of fixed-modulus dissipative–dispersive localized solutions of the one-dimensional quintic complex Ginzburg–Landau (GL) equation in the region where there exists a coexistence of homogeneous attractors. The linear analysis gives an indication for the existence of pulses with an oscillating modulus.

Idioma original	Inglés
Páginas (desde-hasta)	23-28
Número de páginas	6
Publicación	Physica A: Statistical Mechanics and its Applications
Volumen	327
N.º	1-2
DOI	https://doi.org/10.1016/S0378-4371(03)00432-1
Estado	Publicada - 1 sep. 2003
Evento	13th Conference on Nonequilibrium Statist - Colonia del Sacramento, Uruguay Duración: 9 dic. 2002 → 13 dic. 2002

Palabras clave

Asymptotic stability
Bifurcation (mathematics)
Linear programming
Mathematical models
parameter estimation

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10.1016/S0378-4371(03)00432-1

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title = "On the stability of localized structures in the complex Ginzburg-Landau equation",

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.",

keywords = "Bifurcations, Ginzburg-Landau equation, Localized structures, Asymptotic stability, Bifurcation (mathematics), Linear programming, Mathematical models, parameter estimation",

author = "O. Descalzi",

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.; 13th Conference on Nonequilibrium Statist ; Conference date: 09-12-2002 Through 13-12-2002",

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doi = "10.1016/S0378-4371(03)00432-1",

language = "English",

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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 - https://www.scopus.com/pages/publications/0141525381

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 -

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

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