Synchronization of chaotic modulated time delay networks in presence of noise

TL;DR

This paper explores how noise influences synchronization in Lorenz systems with delay, demonstrating noise-induced synchronization and enhancement in both coupled and networked systems.

Contribution

It reveals the constructive role of white and colored noises in inducing and enhancing synchronization in delayed Lorenz systems and networks.

Findings

Noise induces synchronization between identical systems.

Colored noises can enhance synchrony more effectively.

Synchronization occurs in both uncoupled and coupled network configurations.

Abstract

We study the constructive role of noises in a Lorenz system with functional delay. The effect of delay can change the dynamics of the system to a chaotic one from its steady state. Induced synchronization with white and colored (red and green) noises are observed between two identical uncoupled systems and enhancement of synchrony is also observed with unidirectional coupling. We investigate both the phenomena in a globally coupled network in the presence of white and color noises.