Bistability in the Complex Ginzburg-Landau Equation with Drift

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.

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Item Type:	Article
Authors/Creators:	Houghton, S.M. (smh@maths.leeds.ac.uk) Tobias, S.M. Knobloch, E. Proctor, M.R.E.
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
Dates:	Published: 2009
Institution:	The University of Leeds
Academic Units:	The University of Leeds > Faculty of Engineering & Physical Sciences (Leeds) > School of Mathematics (Leeds) > Applied Mathematics (Leeds)
Funding Information:	Funder Grant number EPSRC EP/D032334/1
Depositing User:	Dr S M Houghton
Date Deposited:	25 Mar 2009 18:52
Last Modified:	16 Sep 2016 13:45
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
Open Archives Initiative ID (OAI ID):	oai:eprints.whiterose.ac.uk:7924

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Bistability in the Complex Ginzburg-Landau Equation with Drift

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