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

M. Argentina, Oraziod 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 languageAmerican English
Pages (from-to)2219-2228
Number of pages10
JournalInternational Journal of Bifurcation and Chaos in Applied Sciences and Engineering
Volume12
Issue number10
DOIs
StatePublished - 1 Jan 2002

Keywords

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

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