Impulsive control and synchronization of chaotic Hindmarsh–Rose models for neuronal activity
Impulsive control and synchronization of chaotic Hindmarsh–Rose models for neuronal activity
复制标题
DOI：
10.1016/j.chaos.2008.10.002
复制
发表时间：
2009-09
影响因子：
7.8
通讯作者：
Quanjun Wu;Jin Zhou;L. Xiang;Zengrong Liu
中科院分区：
文献类型：
--
作者：
Quanjun Wu;Jin Zhou;L. Xiang;Zengrong Liu
研究了混沌Hindmarsh-Rose模型的脉冲控制与同步问题。基于动力系统的脉冲控制理论，解析地给出了保证Hindmarsh-Rose模型脉冲镇定和同步的几个简单但不太保守的判据。此外，还给出了两个数值结果，以验证所提出的控制技术的有效性。结果表明，这些结果将有助于从真实神经元活动的信息处理中理解信号编码和转导的动力学机制。
The issues of impulsive control and synchronization of chaotic Hindmarsh–Rose model are investigated in this paper. Based on impulsive control theory of dynamical systems, some simple yet less conservative criteria ensuring impulsive stabilization and synchronization of the Hindmarsh–Rose models are derived analytically. Furthermore, two numerical results are presented to demonstrate the effectiveness of the proposed control techniques. It is shown that the obtained results should be helpful to understand dynamical mechanism of signal encoding and transduction from information processing of real neuronal activity.