Localized structures in nonequilibrium systems

Orazio Descalzi; Pablo Gutiérrez; Enrique Tirapegui

doi:10.1142/S0129183105008424

Localized structures in nonequilibrium systems

Orazio Descalzi^*, Pablo Gutiérrez, Enrique Tirapegui

^*Corresponding author for this work

Research output: Contribution to journal › Article › peer-review

13 Scopus citations

Abstract

We study numerically a prototype equation which arises genetically as an envelope equation for a weakly inverted bifurcation associated to traveling waves: The complex quintic Ginzburg-Landau equation. We show six different stable localized structures including stationary pulses, moving pulses, stationary holes and moving holes, starting from localized initial conditions with periodic and Neumann boundary conditions.

Original language	English
Pages (from-to)	1909-1916
Number of pages	8
Journal	International Journal of Modern Physics C
Volume	16
Issue number	12
DOIs	https://doi.org/10.1142/S0129183105008424
State	Published - Dec 2005

Keywords

Ginzburg-Landau equation
Localized solutions
Oscillatory instability

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10.1142/S0129183105008424

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title = "Localized structures in nonequilibrium systems",

abstract = "We study numerically a prototype equation which arises genetically as an envelope equation for a weakly inverted bifurcation associated to traveling waves: The complex quintic Ginzburg-Landau equation. We show six different stable localized structures including stationary pulses, moving pulses, stationary holes and moving holes, starting from localized initial conditions with periodic and Neumann boundary conditions.",

keywords = "Ginzburg-Landau equation, Localized solutions, Oscillatory instability",

author = "Orazio Descalzi and Pablo Guti{\'e}rrez and Enrique Tirapegui",

year = "2005",

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doi = "10.1142/S0129183105008424",

language = "English",

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T1 - Localized structures in nonequilibrium systems

AU - Descalzi, Orazio

AU - Gutiérrez, Pablo

AU - Tirapegui, Enrique

PY - 2005/12

Y1 - 2005/12

N2 - We study numerically a prototype equation which arises genetically as an envelope equation for a weakly inverted bifurcation associated to traveling waves: The complex quintic Ginzburg-Landau equation. We show six different stable localized structures including stationary pulses, moving pulses, stationary holes and moving holes, starting from localized initial conditions with periodic and Neumann boundary conditions.

AB - We study numerically a prototype equation which arises genetically as an envelope equation for a weakly inverted bifurcation associated to traveling waves: The complex quintic Ginzburg-Landau equation. We show six different stable localized structures including stationary pulses, moving pulses, stationary holes and moving holes, starting from localized initial conditions with periodic and Neumann boundary conditions.

KW - Ginzburg-Landau equation

KW - Localized solutions

KW - Oscillatory instability

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U2 - 10.1142/S0129183105008424

DO - 10.1142/S0129183105008424

M3 - Article

AN - SCOPUS:33644517900

SN - 0129-1831

VL - 16

SP - 1909

EP - 1916

JO - International Journal of Modern Physics C

JF - International Journal of Modern Physics C

IS - 12

ER -

Localized structures in nonequilibrium systems

Abstract

Keywords

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