On Synchronization and Control of Coupled Wilson-cowan Neural oscillators
On Synchronization and Control of Coupled Wilson-cowan Neural oscillators
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DOI：
10.1142/s0218127403006406
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发表时间：
2003
期刊：
影响因子：
--
通讯作者：
T. Ueta;Guanrong Chen
中科院分区：
文献类型：
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作者：
T. Ueta;Guanrong Chen
本文研究了强连接Wilson{Cowan神经振荡器系统中混沌的复杂动力学、同步和控制问题。利用庞加莱映射法分析了几种典型的同步周期解，得到了其分岔图。结果表明，同步模式的拓扑变化主要是由Neimark{Sacker分支引起并进行的。最后，提出了一种简单的反馈控制方法，用于稳定嵌入在这类耦合神经振荡器的高维模型混沌吸引子中的同相同步周期解。
This paper investigates the complex dynamics, synchronization and control of chaos in a system of strongly connected Wilson{Cowan neural oscillators. Some typical synchronized periodic solutions are analyzed by using the Poincar e mapping method, for which bifurcation diagrams are obtained. It is shown that topological change of the synchronization mode is mainly caused and carried out by the Neimark{Sacker bifurcation. Finally, a simple feedback control method is presented for stabilizing an in-phase synchronizing periodic solution embedded in the chaotic attractor of a higher-dimensional model of such coupled neural oscillators.