Hole-defect chaos in the one-dimensional complex Ginzburg-Landau equation

We study the spatiotemporally chaotic dynamics of holes and defects in the 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.