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.
|Number of pages||10|
|Journal||International Journal of Bifurcation and Chaos in Applied Sciences and Engineering|
|State||Published - Oct 2002|
Bibliographical noteFunding 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.
- Eckhaus instability
- Lyapounov functional
- Nucleation solutions
- Real Ginzburg-Landau equation