Stochastic Coherence in Coupled Map Lattices

Abstract

We report in details the observations of structures in coupled map lattice during its chaotic evolution, both in one and two dimension, driven by identical noise on each site (by a structure we mean a group of neighboring lattice-sites for whom values of dynamical variable follow certain prespecified pattern). It is observed that the number of these structures decays with their size following a power-law, for a given noise-strength. The number of structures decays with their lifetime following a stretched exponential. We have seen an interesting phenomenon, which we call stochastic coherence, in which the average length as well as the average lifetime of these structures exhibit bell-shaped maxima for some intermediate range of noise-strength values. Similar features have also been observed for `spatio-temporal structures'.