at Google ScholarTitle data
Aranson, Igor ; Kramer, Lorenz ; Weber, Andreas:
Stability Limits of Defects and Spatio-Temporal Chaos in Nonequilibrium Media.
In: Tirapegui, E. ; Zeller, W.
(ed.):
Instabilities and Nonequilibrium Structures IV. -
Dordrecht
: Springer Netherlands
,
1993
. - pp. 259-272
. - (Mathematics and its Applications
; 267
)
ISBN 978-94-010-4842-2
DOI: https://doi.org/10.1007/978-94-011-1906-1_25
Abstract in another language
We show that the Eckhaus instability for traveling waves is of convective nature and does not lead directly to absolute instability. As a consequence spiral waves and hole solutions remain stable in a larger range than expected previously and the transition to spatio-temporal chaos can be delayed in some parameter range even beyond the Benjamen-Feir limit. We calculate the onset of absolute instability using the complex Ginzburg-Landau equation (CGLE ) and verify the results by detailed simulations. For the 1d CGLE we show that stable localized oscillating hole solutions exist in a region of parameters preceding the appearance of spatio-temporal chaos. These solutions oscillate in the depth and position of the hole. They can be described in terms of a supercritical Hopf bifurcation of the stationary hole solutions. The analytical results have been verified numerically by direct simulations of the CGLE.
Further data
| Item Type: | Article in a book |
|---|---|
| Refereed: | Yes |
| 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: | 04 May 2016 07:35 |
| Last Modified: | 08 Jun 2016 06:39 |
| URI: | https://eref.uni-bayreuth.de/id/eprint/32320 |