Anticipating, Complete and Lag Synchronizations in RC Phase-Shift Network Based Coupled Chua's Circuits without Delay

TL;DR

This paper introduces a novel RC phase-shift network based Chua's circuit and demonstrates synchronization methods including complete, lag, and anticipating synchronization without delay or parameter mismatch, both experimentally and numerically.

Contribution

The paper presents a new RC phase-shift network Chua's circuit and a method for achieving various types of synchronization without delay or parameter mismatch.

Findings

Achieved complete, lag, and anticipating synchronization without delay.

Demonstrated synchronization both experimentally and numerically.

Used Pecora and Carroll approach for chaos synchronization.

Abstract

We construct a new RC phase shift network based Chua's circuit, which exhibits a period-doubling bifurcation route to chaos. Using coupled versions of such a phase-shift network based Chua's oscillators, we describe a new method for achieving complete synchronization (CS), approximate lag synchronization (LS) and approximate anticipating synchronization (AS) without delay or parameter mismatch. Employing the Pecora and Carroll approach, chaos synchronization is achieved in coupled chaotic oscillators, where the drive system variables control the response system. As a result, AS or LS or CS is demonstrated without using a variable delay line both experimentally and numerically.