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

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

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.\u

Publisher: Elsevier
Year: 2010
OAI identifier: oai:eprints.whiterose.ac.uk:10731

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