Winding number instability in the phase-turbulence regime of the Complex Ginzburg-Landau Equation

Details Winding number instability in the phase-turbulence regime of the Complex Ginzburg-Landau Equation Winding number instability in the phase-turbulence regime of the Complex Ginzburg-Landau Equation

1996-04-10

arxiv.org/abs/chao-dyn/9604004v1

Physical Review Letters, 77 267-270 (1996)

Nonlinear Sciences

Chaotic Dynamics

4 pages,REVTeX, including 4 Figures. Latex (or postscript) version with figures available at http://formentor.uib.es/~montagne

Scientific paper

10.1103/PhysRevLett.77.267

We give a statistical characterization of states with nonzero winding number in the Phase Turbulence (PT) regime of the one-dimensional Complex Ginzburg-Landau equation. We find that states with winding number larger than a critical one are unstable, in the sense that they decay to states with smaller winding number. The transition from Phase to Defect Turbulence is interpreted as an ergodicity breaking transition which occurs when the range of stable winding numbers vanishes. Asymptotically stable states which are not spatio-temporally chaotic are described within the PT regime of nonzero winding number.

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