Role of network topology in noise reduction using coupled dynamics

Vivek Kohar, North Carolina State University
Sarvenaz Kia, North Carolina State University
Behnam Kia, North Carolina State University
John F. Lindner, The College of Wooster
William L. Ditto, North Carolina State University


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.