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Wound-up phase turbulence in the complex Ginzburg-Landau equation

Wound-up phase turbulence in the complex Ginzburg-Landau equation

We consider phase turbulent regimes with nonzero winding number in the one-dimensional complex Ginzburg-Landau equation. We find that phase turbulent states with winding number larger than a critical one are only transients and decay to states within a range of allowed winding numbers. The analogy with the Eckhaus instability for …