Enhancement of spatiotemporal regularity in an optimal window of random coupling

TL;DR

This paper explores how introducing a specific range of random coupling in a lattice of chaotic maps enhances spatiotemporal regularity, revealing an optimal randomness window for synchronization.

Contribution

It identifies an optimal range of random coupling probability that maximizes spatiotemporal regularity in chaotic lattice systems, contrasting with previous monotonic synchronization observations.

Findings

Synchronization occurs within a specific p range.

Beyond this range, regularity diminishes and basin of attraction shrinks.

Optimal randomness enhances regularity in weak coupling regimes.

Abstract

We investigate the spatiotemporal dynamics of a lattice of coupled chaotic maps whose coupling connections are dynamically rewired to random sites with probability p, namely at any instance of time, with probability p a regular link is switched to a random one. In a range of weak coupling, where spatiotemporal chaos exists for regular lattices (i.e. for p = 0), we find that p > 0 yields synchronized periodic orbits. Further we observe that this regularity occurs over a window of p values, beyond which the basin of attraction of the synchronized cycle shrinks to zero. Thus we have evidence of an optimal range of randomness in coupling connections, where spatiotemporal regularity is efficiently obtained. This is in contrast to the commonly observed monotonic increase of synchronization with increasing p, as seen for instance, in the strong coupling regime of the very same system.