Periodic nucleation solutions of the real Ginzburg-Landau equation in a finite box

M. Argentina; Oraziod Descalzi; E. Tirapegui

doi:10.1142/S0218127402005765

Periodic nucleation solutions of the real Ginzburg-Landau equation in a finite box

M. Argentina^*
, Oraziod Descalzi
, E. Tirapegui

^*Autor correspondiente de este trabajo

Producción científica: Contribución a una revista › Artículo › revisión exhaustiva

2 Citas (Scopus)

Resumen

We study the stationary solutions of the real Ginzburg–Landau equation with periodic boundary
conditions in a finite box. We show explicitly how to construct nucleation solutions allowing
transitions between stable plane waves.

Idioma original	Inglés
Páginas (desde-hasta)	2219-2228
Número de páginas	10
Publicación	International Journal of Bifurcation and Chaos in Applied Sciences and Engineering
Volumen	12
N.º	10
DOI	https://doi.org/10.1142/S0218127402005765
Estado	Publicada - oct. 2002

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@article{144aaad18ccd4cb2810525513fc67551,

title = "Periodic nucleation solutions of the real Ginzburg-Landau equation in a finite box",

abstract = "The periodic nucleation solutions of the real Ginzburg-Landau equation in a finite box were discussed. It was found that the dynamical systems admits stable and unstable stationary plane wave solutions and homogeneous stationary solutions. The nucleation solutions allowed transitions between stable plane waves.",

keywords = "Eckhaus instability, Lyapounov functional, Nucleation solutions, Real Ginzburg-Landau equation",

author = "M. Argentina and Oraziod Descalzi and E. Tirapegui",

note = "Funding Information: M. Argentina would like to acknowledge the support from FONDECYT (P. 3000017). O. Descalzi wishes to thank Fondo de Ayuda a la Investigacion of the U. de los Andes (P. ICIV-001-2000). E. Tirapegui acknowledges FONDECYT (P. 1990991), FONDAP (P. 11980002) and CNRS-CONICYT Project. The authors are indebted to Mr. Rene Rojas for many useful discussions.",

year = "2002",

month = oct,

doi = "10.1142/S0218127402005765",

language = "English",

volume = "12",

pages = "2219--2228",

journal = "International Journal of Bifurcation and Chaos in Applied Sciences and Engineering",

issn = "0218-1274",

publisher = "World Scientific",

number = "10",

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T1 - Periodic nucleation solutions of the real Ginzburg-Landau equation in a finite box

AU - Argentina, M.

AU - Descalzi, Oraziod

AU - Tirapegui, E.

N1 - Funding Information: M. Argentina would like to acknowledge the support from FONDECYT (P. 3000017). O. Descalzi wishes to thank Fondo de Ayuda a la Investigacion of the U. de los Andes (P. ICIV-001-2000). E. Tirapegui acknowledges FONDECYT (P. 1990991), FONDAP (P. 11980002) and CNRS-CONICYT Project. The authors are indebted to Mr. Rene Rojas for many useful discussions.

PY - 2002/10

Y1 - 2002/10

N2 - The periodic nucleation solutions of the real Ginzburg-Landau equation in a finite box were discussed. It was found that the dynamical systems admits stable and unstable stationary plane wave solutions and homogeneous stationary solutions. The nucleation solutions allowed transitions between stable plane waves.

AB - The periodic nucleation solutions of the real Ginzburg-Landau equation in a finite box were discussed. It was found that the dynamical systems admits stable and unstable stationary plane wave solutions and homogeneous stationary solutions. The nucleation solutions allowed transitions between stable plane waves.

KW - Eckhaus instability

KW - Lyapounov functional

KW - Nucleation solutions

KW - Real Ginzburg-Landau equation

UR - https://www.scopus.com/pages/publications/0036815813

U2 - 10.1142/S0218127402005765

DO - 10.1142/S0218127402005765

M3 - Article

AN - SCOPUS:0036815813

SN - 0218-1274

VL - 12

SP - 2219

EP - 2228

JO - International Journal of Bifurcation and Chaos in Applied Sciences and Engineering

JF - International Journal of Bifurcation and Chaos in Applied Sciences and Engineering

IS - 10

ER -

Periodic nucleation solutions of the real Ginzburg-Landau equation in a finite box

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