Impulsive synchronization and initial value effect for a memristor-based chaotic system

被引：9
作者：
Wu Hua-Gan [1 ]
Chen Sheng-Yao [1 ]
Bao Bo-Cheng [2 ]
机构：
[1] Nanjing Univ Sci & Technol, Sch Elect & Opt Engn, Nanjing 210094, Jiangsu, Peoples R China
[2] Changzhou Univ, Sch Informat Sci & Engn, Changzhou 213164, Peoples R China
来源：
ACTA PHYSICA SINICA | 2015年 / 64卷 / 03期
基金：
中国国家自然科学基金;
关键词：
impulsive synchronization; Lyapunov function; memristor-based chaotic system; initial values; CIRCUIT;
D O I：
10.7498/aps.64.030501
中图分类号：
O4 [物理学];
学科分类号：
0702 ;
摘要：
Taking Chua's circuit with a smooth cubic flux-controlled memristor as an example, the impulsive control synchronization method for two identical memristor-based chaotic systems is studied. Based on the Lyapunov stability theory, the asymptotic stability condition for the impulsive synchronization of the memristor-based chaotic systems is given. Combining with the maximum conditional Lyapunov exponent spectrum of the error system, effects of the system initial values on the performances of impulsive synchronization are discussed, and corresponding simulation experiments are performed. Results indicate that using impulsive synchronization for the two identical memristor-based chaotic systems is feasible and effective with appropriate impulsive control parameters; the initial values of the memristor-based chaotic systems have some effects on the performances of impulsive synchronization, which can be inhibited by increasing the impulsive coupling strength.
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页数：8
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