Transmission projective synchronization in an array of identical coupled chaotic systems

Author

Liyan Cheng ; Xiangyong Chen ; Jianlong Qiu ; Chunhua Xu ; Xiao Chen ; Ziqiang Huang

Author_Institution

Sch. of Math. Sci., Shandong Normal Univ., Jinan, China

fYear

2014

fDate

28-30 July 2014

Firstpage

2789

Lastpage

2793

Abstract

This paper mainly investigates the transmission projective synchronization among an array of identical coupled chaotic systems. Based on the stability analysis of nonlinear system with special antisymmetric structure, the control laws are designed to realize the transmission projective synchronization. Some simple stability criteria are then derived for reaching the transmission projective synchronization among multi-systems. Numerical examples are presented to verify the effectiveness and correctness of the synchronization within a desired scaling factor. For the multi-systems synchronization model, it seems to have more valuable than the usual one drive system and one response system synchronization model.

Keywords

chaos; control system synthesis; nonlinear control systems; stability criteria; synchronisation; antisymmetric structure; control laws; drive system; identical coupled chaotic system array; multisystem synchronization model; nonlinear system; response system synchronization model; stability analysis; stability criteria; transmission projective synchronization; Arrays; Chaotic communication; Educational institutions; Electronic mail; Synchronization; Trajectory; Chaotic systems; antisymmetric structure; stability analysis; transmission projective synchronization;

fLanguage

English

Publisher

ieee

Conference_Titel

Control Conference (CCC), 2014 33rd Chinese

Conference_Location

Nanjing

Type

conf

DOI

10.1109/ChiCC.2014.6897080

Filename

6897080