Space and time intermittency behaviour of a one-dimensional complex Ginzburg-Landau equation

Abstract

The author investigates numerically the behaviour of the one-dimensional complex Ginzburg-Landau equation near the onset of phase instability. The spatio-temporal intermittency behaviour observed is characterized by the spontaneous creation and annihilation of non-oscillating points moving in space, delimiting regular regions of travelling waves. The author computes the probability distribution of finding a laminar area of size l and explain the creation mechanism of these localized propagative structures.