Zero delay synchronization of chaos in coupled map lattices

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.

Zero-Lag Synchronization in Spatiotemporal Chaotic Systems with Long Range Delay Couplings

“…On the other hand, compared with Refs. [28,29], our results show that synchronization is not influenced periodically by time delay. In those studies, ZLS can be achieved with some periodic time delay, and the other time delay system is chaotic.…”

“…Santhanam et al showed that two coupled map lattices mutually coupled to one another with a delay can display ZLS. [28] This coupling scheme introduced a third system which mediates the other two systems actively.…”