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

Martin Howard·Martin van Hecke
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Abstract

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.

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Martin Howard, Martin van Hecke. 2003-08-26. Hole-defect chaos in the one-dimensional complex Ginzburg-Landau equation. https://doi.org/10.1103/physreve.68.026213

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