Houghton, S.M., Knobloch, E., Tobias, S.M. and Proctor, M.R.E. (2010) Transient spatiotemporal chaos in the complex Ginzburg-Landau equation on long domains. Physics Letters A. ISSN 0375-9601 (In Press)
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Abstract
Numerical simulations of the complex Ginzburg-Landau equation in one spatial dimension on periodic domains with sufficiently large spatial period reveal persistent chaotic dynamics in large parts of parameter space that extend into the Benjamin-Feir stable regime. This situation changes when nonperiodic boundary conditions are imposed, and in the Benjamin-Feir stable regime chaos takes the form of a long-lived transient decaying to a spatially uniform oscillatory state. The lifetime of the transient has Poisson statistics and no domain length is found sufficient for persistent chaos.
| Item Type: | Article |
|---|---|
| Copyright, Publisher and Additional Information: | This is an author produced version of a paper accepted for publication in 'Physics Letters A'. Uploaded in accordance with the publisher's self-archiving policy. |
| Keywords: | Finite domain, Complex Ginzburg-Landau equation, Defect chaos |
| Academic Units: | The University of Leeds > Faculty of Maths and Physical Sciences (Leeds) > School of Mathematics (Leeds) > Applied Mathematics (Leeds) |
| Depositing User: | Dr S M Houghton |
| Date Deposited: | 09 Mar 2010 14:29 |
| Last Modified: | 08 Feb 2013 17:00 |
| Status: | In Press |
| Publisher: | Elsevier |
| Refereed: | Yes |
| URI: | http://eprints.whiterose.ac.uk/id/eprint/10465 |
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- Transient spatiotemporal chaos in the complex Ginzburg-Landau equation on long domains. (deposited 09 Mar 2010 14:29) [Currently Displayed]
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