Role of network topology in noise reduction using coupled dynamics

Abstract

We study the usefulness of coupled redundancy as a mechanism for reduction in local noise in coupled map lattices and investigate the role of network topology, coupling strength, and iteration number in this mechanism. Explicit numerical simulations to measure noise reduction in coupled units connected in different topologies such as ring, star, small-world, random, and grid networks have been carried out. We study both symmetric and asymmetric networks. Linear stability analysis is presented to identify an optimal symmetric topology. The effect of rewiring is also investigated, and we find that dynamic links enhance the noise reduction capabilities.