Zero delay synchronization of chaos in coupled map lattices

TL;DR

This paper demonstrates that two mutually delayed coupled map lattices can achieve zero delay synchronization when driven by a third lattice, with analytical estimates of the regimes and robustness against parameter mismatches.

Contribution

It introduces a novel mechanism for zero delay synchronization in coupled map lattices driven by a third lattice, with analytical analysis of regimes and robustness.

Findings

Zero delay synchronization is achievable with mutual delays and a third drive lattice.

Synchronization regimes are analytically estimated.

Synchronization is robust against parameter mismatches.

Abstract

We show that two coupled map lattices that are mutually coupled to one another with a delay can display zero delay synchronization if they are driven by a third coupled map lattice. We analytically estimate the parametric regimes that lead to synchronization and show that the presence of mutual delays enhances synchronization to some extent. The zero delay or isochronal synchronization is reasonably robust against mismatches in the internal parameters of the coupled map lattices and we analytically estimate the synchronization error bounds.