at Google ScholarTitle data
Popp, Stefan ; Stiller, Olaf ; Aranson, Igor ; Weber, Andreas ; Kramer, Lorenz:
Localized hole solutions and spatiotemporal chaos in the 1D complex Ginzburg-Landau equation.
In: Physical Review Letters.
Vol. 70
(1993)
Issue 25
.
- pp. 3880-3883.
ISSN 1079-7114
DOI: https://doi.org/10.1103/PhysRevLett.70.3880
Abstract in another language
The cubic complex Ginzburg-Landau equation is often used to model oscillatory media. In 1D it has a one-parameter family of moving ‘‘hole’’ solutions acting as sources for traveling waves (Nozaki and Bekki). We find that this family is destroyed by arbitrarily small generic perturbations leaving only the stationary phase-slip solutions. Its stability as well as the border of spatiotemporal chaos depend crucially on the sign of the perturbation. For ‘‘stabilizing’’ perturbations one also finds oscillations of the holes. The scenario can be modeled by the Van der Pol oscillator.
Further data
| Item Type: | Article in a journal |
|---|---|
| Refereed: | Yes |
| Subject classification: | PACS numbers: 05.45.+b, 47.20.—k |
| Institutions of the University: | Faculties Faculties > Faculty of Mathematics, Physics und Computer Science Faculties > Faculty of Mathematics, Physics und Computer Science > Department of Physics Faculties > Faculty of Mathematics, Physics und Computer Science > Department of Physics > Chair Theoretical Physics II |
| Result of work at the UBT: | Yes |
| DDC Subjects: | 500 Science 500 Science > 530 Physics |
| Date Deposited: | 02 May 2016 07:03 |
| Last Modified: | 29 Aug 2022 13:43 |
| URI: | https://eref.uni-bayreuth.de/id/eprint/32279 |