Propagation of desynchronous disturbances in synchronized chaotic one-way coupled map lattices.

Abstract

Propagations of desynchronous perturbations in synchronization processes of spatiotemporal chaos are investigated by considering chaotic one-way coupled map lattices. Under large coupling approximation the desynchronous area in time space is analytically calculated, based on the concepts of comoving Lyapunov exponent and absolute largest Lyapunov exponent. The ideas used in this paper are expected to be applicable to synchronizations of spatiotemporally chaotic systems of coupled maps and coupled oscillators with convective instability.