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摘要: |
本文研究了在FitzHugh-Nagumo神经元耦合而成的多层神经元网络中,控制神经元节点分量对于神经元动力学特性和网络同步行为的影响问题.利用舒尔补定理和李雅普诺夫稳定性理论等分析方法,分别推导出了单层网络和多层网络两种情况下实现网络同步时的控制条件,推广了多层神经元网络控制同步的理论研究. |
关键词: 多层网络 FitzHugh-Nagumo神经元网络 同步 控制 |
DOI: |
分类号:O193 |
基金项目:国家自然科学基金资助(1301210900049). |
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CONTROL SYNCHRONIZATION OF MULTILAYER FITZHUGH-NAGUMO NEURAL NETWORKS |
CHENG Hui
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Abstract: |
In this paper, we study the influence of controlling the node components of Fitzhugh-Nagumo neurons on the dynamic characteristics of neurons and the synchronization behavior of networks. By using the analysis methods of Shur complement theorem and Lyapunov stability theory, the control conditions for realizing network synchronization in single-layer network and multi-layer network are derived respectively, which generalize the theoretical research of multi-layer neural network control synchronization. |
Key words: Multilayer network Fitzhugh-Nagumo neural network synchronous control |