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^*

^*Corresponding author for this work

Research output: Contribution to journal › Conference article › peer-review

10 Scopus citations

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 language	English
Pages (from-to)	23-28
Number of pages	6
Journal	Physica A: Statistical Mechanics and its Applications
Volume	327
Issue number	1-2
DOIs	https://doi.org/10.1016/S0378-4371(03)00432-1
State	Published - 1 Sep 2003
Event	13th Conference on Nonequilibrium Statist - Colonia del Sacramento, Uruguay Duration: 9 Dec 2002 → 13 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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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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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

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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

Abstract

Bibliographical note

Keywords

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