Global synchronization of a class of chaotic systems with a scalar transmitted signal

被引:7
作者
Lu, JG [1 ]
Xi, YG [1 ]
Wang, XF [1 ]
机构
[1] Shanghai Jiao Tong Univ, Inst Automat, Shanghai 200030, Peoples R China
来源
INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS | 2004年 / 14卷 / 04期
关键词
global synchronization; hyperchaotic system;
D O I
10.1142/S0218127404009855
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
This letter proposes a new global synchronization theorem for a class of chaotic systems. Specially, in the synchronization theorem neither the linear part nor the nonlinear part of the chaotic system requires the special structure indicated in [Wang & Wang, 1998]. We take a linear combination of the original system state variables as the scale-driving signal. We prove that the global synchronization can be attained through the simple linear output error feedback. The linear output error feedback gain is a function of a free parameter. We use Chua's chaotic oscillator and Saito's hyperchaotic system to illustrate the applicability of our synchronization scheme and discuss the issues concerning robustness.
引用
收藏
页码:1431 / 1437
页数:7
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