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

M. Argentina, Orazio Descalzi, E. Tirapegui

Research output: Contribution to journalArticlepeer-review

2 Scopus citations

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.

Original languageEnglish
Pages (from-to)2219-2228
Number of pages10
JournalInternational Journal of Bifurcation and Chaos in Applied Sciences and Engineering
Volume12
Issue number10
DOIs
StatePublished - Oct 2002

Bibliographical 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.

Keywords

  • Eckhaus instability
  • Lyapounov functional
  • Nucleation solutions
  • Real Ginzburg-Landau equation

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