UNCERTAINTY IN CHAOS SYNCHRONIZATION

Author:

ZHONG GUO-QUN1,MAN KIM-FUNG1,KO KING-TIM1

Affiliation:

1. Department of Electronic Engineering, City University of Hong Kong, Kowloon, Hong Kong, China

Abstract

In this paper a variety of uncertainty phenomena in chaos synchronization, which are caused by the sensitive dependence on initial conditions and coupling strength, are numerically investigated. Two identical Chua's circuits are considered for both mutually- and unidirectionally-coupled systems. It is found that initial states of the system play an important role in chaos synchronization. Depending on initial conditions, distinct behaviors, such as in-phase synchronization, anti-phase synchronization, oscillation-quenching, and bubbling of attractors, may occur. Based on the findings, we clarify that the systems, which satisfy the standard synchronization criterion, do not necessarily operate in a synchronization regime.

Publisher

World Scientific Pub Co Pte Lt

Subject

Applied Mathematics,Modeling and Simulation,Engineering (miscellaneous)

Cited by 14 articles. 订阅此论文施引文献 订阅此论文施引文献,注册后可以免费订阅5篇论文的施引文献,订阅后可以查看论文全部施引文献

1. Synchronization Phenomena in Coupled Dynamical Systems with Hidden Attractors;Nonlinear Dynamical Systems with Self-Excited and Hidden Attractors;2018

2. Synchronization and chaotic communication in nonlinear circuits with nonlinear coupling;Journal of Computational Electronics;2017-06-03

3. Introduction;Systems with Hidden Attractors;2017

4. Synchronization Phenomena in Coupled Birkhoff-Shaw Chaotic Systems Using Nonlinear Controllers;Nonlinear Systems - Design, Analysis, Estimation and Control;2016-10-19

5. Synchronization Phenomena in Coupled Hyperchaotic Oscillators with Hidden Attractors Using a Nonlinear Open Loop Controller;Advances and Applications in Chaotic Systems;2016

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