Disordered Regimes of the one-dimensional complex Ginzburg-Landau equation

Details Disordered Regimes of the one-dimensional complex Ginzburg-Landau equation Disordered Regimes of the one-dimensional complex Ginzburg-Landau equation

1993-10-12

arxiv.org/abs/patt-sol/9310001v1

Nonlinear Sciences

Pattern Formation and Solitons

14 pages, LaTeX, 9 figures available by anonymous ftp to amoco.saclay.cea.fr in directory pub/chate, or by requesting them to

Scientific paper

10.1088/0951-7715/7/1/007

I review recent work on the ``phase diagram'' of the one-dimensional complex Ginzburg-Landau equation for system sizes at which chaos is extensive. Particular attention is paid to a detailed description of the spatiotemporally disordered regimes encountered. The nature of the transition lines separating these phases is discussed, and preliminary results are presented which aim at evaluating the phase diagram in the infinite-size, infinite-time, thermodynamic limit.

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