时变耦合下忆阻电路的同步

J4 ›› 2015, Vol. 32 ›› Issue (6): 719-727.

时变耦合下忆阻电路的同步

宋欣林,王春妮,李文超,马军

兰州理工大学，甘肃兰州 730050

收稿日期:2014-10-24 修回日期:2014-11-13 出版日期:2015-11-28 发布日期:2015-11-05
通讯作者: 王春妮(1973-)，女，陕西杨凌人，副教授，主要研究线性振荡电路和网络同步控制 E-mail:wangcn05@163.com.
作者简介:宋欣林(1990-)，研究生，主要研究非线性振子同比控制和神经元电活动诊断等.
基金资助:
国家自然科学基金资助的项目（11365014）

Synchronization of Memristor Circuits under Time-varying Coupling

SONG Xinlin, Wang Chunn, LI Wenchao, MA Jun

Lanzhou Uuniversity of Technology, Lanzhou 730050, China

Received:2014-10-24 Revised:2014-11-13 Published:2015-11-28 Online:2015-11-05

摘要/Abstract

摘要：

基于Lyapunov稳定理论，研究了一类三阶忆阻器混沌电路系统在单向线性耦合下实现同步的可靠性问题。在临界值上选择恒定的控制器增益则容易实现两个混沌系统的同步；当控制器增益时变下，在一定强度范围内也可以实现同步。进一步通过数值方法计算了耦合增益对控制器平均功耗和达到同步暂态时间的影响。

关键词: 忆阻器, Lyapunov稳定理论, 通信, 同步

Abstract:

Based on the Lyapunov stability theory, we prove the feasibility of synchronization between a class of third-order memristor chaotic circuits under undirectional linear coupling. Complete synchronization can be realized when constant gain in the controller is beyond the threshold, while in the case of time-varying gain in controller, synchronization still can be observed in some parameter region. Furthermore, numerical studies are used to calculate the effect of gain selection in controller on the average power consumption and transient period to reach synchronization.

Key words: Memristor, Lyapunov stability theory, communication, synchronization

中图分类号:

O545

宋欣林王春妮李文超马军. 时变耦合下忆阻电路的同步[J]. J4, 2015, 32(6): 719-727.

SONG Xinlin, Wang Chunn, LI Wenchao, MA Jun. Synchronization of Memristor Circuits under Time-varying Coupling[J]. J4, 2015, 32(6): 719-727.

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