Spatiotemporal Intermittency in Coupled Map Lattices

Abstract

Spatiotemporal intermittency is investigated in a class of coupled map lattices. Burst and laminar regions form a geometrical structure in spacetime, which is analogous to the ones found in cellular automata. Mechanism of the formation of this structure is discussed, with the study on the critical properties of the propagation speed of bursts and distribution of laminar clusters. Lyapunov spectra are calculated, which show the existence of two kinds of motions, i.e., laminar and bursts. Possibility of a “mean field theory” for coupled chaos is also discussed.