Adaptive Isochronal Synchronization in Mutually Coupled Chaotic Systems

Da Lin^1*, Hong Song¹, Yi Yao¹, Fuchen Zhang²

¹School of Automatic and Electronic Information, Sichuan University of Science and Engineering, Zigong, China.
²College of Mathematics and Statistics, Chongqing Technology and Business University, Chongqing, China.

DOI: 10.4236/jmp.2015.62020                

Abstract

This paper studies the problem of isochronal synchronization of chaotic systems with time-delayed mutual coupling. Based on the invariance principle of differential equations, an adaptive feedback scheme is proposed for the stability of isochronal synchronization between two identical chaotic systems. Unlike the usual linear feedback, the variable feedback strength is automatically adapted to isochronally synchronize two identical chaotic systems with delay-coupled, so this scheme is analytical, and simple to implement in practice. Simulation results show that the isochronal synchronization behavior is determined by time delay.

Keywords

Isochronal Synchronization, Mutual Coupling, Adaptive Control

Conflicts of Interest

The authors declare no conflicts of interest.

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