Different Types of Synchronization in Coupled Network Based Chaotic Circuits

TL;DR

This paper introduces a unified, delay-free method for achieving various types of chaos synchronization in coupled nonlinear circuits, demonstrated experimentally and numerically in Chua's circuits with simple switching.

Contribution

It presents a novel, unified approach to chaos synchronization that avoids time delays and parameter mismatches, applicable to coupled nonlinear circuits.

Findings

Successful experimental demonstration of lag, complete, and anticipatory synchronization

The method works without time delay or parameter mismatch

Numerical simulations confirm experimental results

Abstract

We propose a simple and new unified method to achieve lag, complete and anticipatory synchronizations in coupled nonlinear systems. It can be considered as an alternative to the subsystem and intentional parameter mismatch methods. This novel method is illustrated in a unidirectionally coupled RC phase shift network based Chua's circuit. Employing feedback coupling, different types of chaos synchronization are observed experimentally and numerically in coupled identical chaotic oscillators {\emph{without using time delay}}. With a simple switch in the experimental set up we observe different kinds of synchronization. We also analyze the coupled system with numerical simulations.