Intermittency in Inhomogeneous Coupled Map Lattices

Abstract

We study the phenomenon of intermittency in inhomogeneous lattices of coupled map where inhomogeneity appears in the form of different values of map parameters at adjacent sites.The system exhibits spatiotemporal intermittency in various regions of parameter space.We identify the types of co-dimension two bifurcations which give rise to spatio-temporal or purely spatial intermittency and study the mechanism in one case, that of synchronised fixed point Power law distributions of laminar lengths is observed in vicinity of such co-dim 2 points and the exponents fall in three ranges for three different types of bifurcations. Three of the exponents seen in this model show good agreement with those observed in fluid experiments with quasi-one dimensional geometries.