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Bistability in the Complex Ginzburg-Landau Equation with Drift

Houghton, S.M., Tobias, S.M., Knobloch, E. and Proctor, M.R.E. (2009) Bistability in the Complex Ginzburg-Landau Equation with Drift. Physica D: Nonlinear Phenomena, 238 (2). pp. 184-196. ISSN 0167-2789

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Abstract

Properties of the complex Ginzburg-Landau equation with drift are studied focusing on the Benjamin-Feir stable regime. On a finite interval with Neumann boundary conditions the equation exhibits bistability between a spatially uniform time-periodic state and a variety of nonuniform states with complex time dependence. The origin of this behavior is identified and contrasted with the bistable behavior present with periodic boundary conditions and no drift.

Item Type: Article
Copyright, Publisher and Additional Information: Copyright © 2008 Elsevier B.V. This is an author produced version of a paper published in 'Physica D: Nonlinear Phenomena'. Uploaded in accordance with the publisher's self-archiving policy.
Keywords: Complex Ginzburg-Landau Equation, Bistability, Spatiotemporal 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: 25 Mar 2009 18:52
Last Modified: 08 Feb 2013 17:06
Published Version: http://dx.doi.org/10.1016/j.physd.2008.09.011
Status: Published
Publisher: Elsevier
Refereed: Yes
Identification Number: 10.1016/j.physd.2008.09.011
URI: http://eprints.whiterose.ac.uk/id/eprint/7924

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