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 0167-2789Full text available as:
Available under licence : See the attached licence file.
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.
|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|
|Institution:||The University of Leeds|
|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|