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Bistability in the Complex Ginzburg-Landau Equation with Drift

By S.M. Houghton, S.M. Tobias, E. Knobloch and M.R.E. Proctor

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

Publisher: Elsevier
Year: 2009
OAI identifier: oai:eprints.whiterose.ac.uk:7924

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