Emergence of zero-lag synchronization in generic mutually coupled chaotic systems

TL;DR

This paper demonstrates that zero-lag synchronization can occur in generic mutually coupled chaotic systems with multiple self-feedbacks, broadening the conditions under which ZLS can be achieved beyond restricted delay ratios.

Contribution

The study introduces a method using multiple self-feedbacks to achieve zero-lag synchronization across a wide range of delays, without needing precise delay ratios.

Findings

ZLS can be achieved with diverse delays using multiple self-feedbacks.

ZLS does not require knowledge of mutual distance between systems.

Potential applications in communication networks and understanding neuronal synchronization.

Abstract

Zero-lag synchronization (ZLS) is achieved in a very restricted mutually coupled chaotic systems, where the delays of the self-coupling and the mutual coupling are identical or fulfil some restricted ratios. Using a set of multiple self-feedbacks we demonstrate both analytically and numerically that ZLS is achieved for a wide range of mutual delays. It indicates that ZLS can be achieved without the knowledge of the mutual distance between the communicating partners and has an important implication in the possible use of ZLS in communications networks as well as in the understanding of the emergence of such synchronization in the neuronal activities.