Bifurcating vortex solutions of the complex Ginzburg-Landau equation.
Journal Article
·
· Discrete Continuous Dyn. Syst.
OSTI ID:942417
It is shown that the complex Ginzburg-Landau (CGL) equation on the real line admits nontrivial 2{pi}-periodic vortex solutions that have 2n simple zeros ('vortices') per period. The vortex solutions bifurcate from the trivial solution and inherit their zeros from the solution of the linearized equation. This result rules out the possibility that the vortices are determining nodes for vortex solutions of the CGL equation.
- Research Organization:
- Argonne National Laboratory (ANL)
- Sponsoring Organization:
- ER
- DOE Contract Number:
- AC02-06CH11357
- OSTI ID:
- 942417
- Report Number(s):
- ANL/MCS/JA-31167
- Journal Information:
- Discrete Continuous Dyn. Syst., Journal Name: Discrete Continuous Dyn. Syst. Journal Issue: 4 ; Oct. 1999 Vol. 5; ISSN 1937-1632
- Country of Publication:
- United States
- Language:
- ENGLISH
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