基于自适应控制的耦合Hindmarsh-Rose神经元混沌同步

Yu Shi, Jiang Wang, Bin Deng, Qiuxiang Liu
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引用次数: 11

摘要

本文提出了一种利用Hindmarsh-Rose耦合系统实现两个不确定非线性混沌神经元系统自适应同步的方法[18]。在第二节中,我们研究了两个无控制的HR神经元的间隙连接耦合神经元系统的动力学。在第3节中,我们设计了用于耦合HR神经元混沌同步的自适应控制器。通过合理选择控制参数,可以实现渐近同步。第4节给出的仿真证明了控制的有效性。第五节给出了本文的结论。
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Chaotic Synchronization of Coupled Hindmarsh-Rose Neurons Using Adaptive Control
In this paper, we propose an approach for adaptive synchronization of two uncertain nonlinear chaotic neuron systems by using the coupled system of Hindmarsh-Rose [18]. An outline of this paper is given as follows: In Sec. 2, we study the dynamics of gap junction coupled neuronal system of two HR neurons without control. In Sec.3, we design the adaptive controller for chaos synchronization of the coupled HR neurons. Asymptotic synchronization can be obtained by proper choice of the control parameters. The simulation given in Sec. 4 demonstrated the effectiveness of the control. Conclusion of this paper is given in Sec. 5.
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