Existence range of pulses in the quintic complex Ginzburg-Landau equation

Pablo Gutiérrez; Orazio Descalzi

doi:10.1063/1.2746736

Existence range of pulses in the quintic complex Ginzburg-Landau equation

Pablo Gutiérrez, Orazio Descalzi

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2 Scopus citations

Abstract

Given a system in the vicinity of an oscillatory subcritical bifurcation (Hopf) that presents localized structures, we model its dynamics with the Quintic Complex Ginzburg-Landau Equation. For pulse-type structures, we study the bifurcation to fronts via a quasi-analytical approach.

Original language	American English
Pages	127-132
Number of pages	6
DOIs	https://doi.org/10.1063/1.2746736
State	Published - 1 Jan 2007
Event	AIP Conference Proceedings - Duration: 1 Jan 2015 → …

Conference

Conference	AIP Conference Proceedings
Period	1/01/15 → …

Keywords

Ginzburg-Landau equation
Localized structures

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10.1063/1.2746736

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title = "Existence range of pulses in the quintic complex Ginzburg-Landau equation",

abstract = "Given a system in the vicinity of an oscillatory subcritical bifurcation (Hopf) that presents localized structures, we model its dynamics with the Quintic Complex Ginzburg-Landau Equation. For pulse-type structures, we study the bifurcation to fronts via a quasi-analytical approach.",

keywords = "Ginzburg-Landau equation, Localized structures, Ginzburg-Landau equation, Localized structures",

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language = "American English",

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AU - Descalzi, Orazio

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N2 - Given a system in the vicinity of an oscillatory subcritical bifurcation (Hopf) that presents localized structures, we model its dynamics with the Quintic Complex Ginzburg-Landau Equation. For pulse-type structures, we study the bifurcation to fronts via a quasi-analytical approach.

AB - Given a system in the vicinity of an oscillatory subcritical bifurcation (Hopf) that presents localized structures, we model its dynamics with the Quintic Complex Ginzburg-Landau Equation. For pulse-type structures, we study the bifurcation to fronts via a quasi-analytical approach.

KW - Ginzburg-Landau equation

KW - Localized structures

KW - Ginzburg-Landau equation

KW - Localized structures

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Y2 - 1 January 2015

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Existence range of pulses in the quintic complex Ginzburg-Landau equation

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Keywords

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