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Transient spatiotemporal chaos in the complex Ginzburg-Landau equation on long domains

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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