Hole-defect chaos in the one-dimensional complex Ginzburg-Landau equation.
We study the spatiotemporally chaotic dynamics of holes and defects in the one-dimensional (1D) complex Ginzburg-Landau equation (CGLE). We focus particularly on the self-disordering dynamics of holes and on the variation in defect profiles. By enforcing identical defect profiles and/or smooth plane wave backgrounds, we are able to sensitively probe the causes of the spatiotemporal chaos. We show that the coupling of the holes to a self-disordered background is the dominant mechanism. We analyze a lattice model for the 1D CGLE, incorporating this self-disordering. Despite its simplicity, we show that the model retains the essential spatiotemporally chaotic behavior of the full CGLE.
Howard
Martin
M
Department of Mathematics, Imperial College London, South Kensington Campus, London SW7 2AZ, United Kingdom.
van Hecke
Martin
M