时滞影响下的环式耦合混沌神经元同步
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国家自然科学基金 (10432010,10702023,10702002),北京航空航天大学博士研究生创新基金资助项目


Synchronization in ring coupled chaotic neurons with time delay
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    摘要:

    由于突触连接,神经元之间的信息传递普遍存在着时滞效应.本文讨论时滞对四个环式耦合混沌HR(Hindmarsh-Rose)神经元的同步动力学行为影响.通过计算同步差,发现适当的时滞会诱发或增强混沌神经元间的完全同步,即时滞的作用使耦合系统在较小的耦合强度下存在稳定的同步状态.进一步还发现时滞会诱发神经元间出现相位同步,增大在相同步窗口.此外, 在完全同步出现可以观察到由时滞诱发的一些复杂现象,包括近似同步与相位同步之间的转迁等.

    Abstract:

    Time delay exists widely in information transduction between neurons due to synaptic connection. The effects of time delay on the synchronization behaviour of four chaotic HR (Hindmarsh-Rose) neurons with ring coupling scheme were studied.By computing the synchronization errors, it is found that complete synchronization among neurons can be induced or enhanced by appropriate time delays, namely, a stable synchronous state exists at lower coupling strengths under the action of time delay. It is further observed that time delay can also induce phase synchronization and enlarge the in-phase synchronization window. Moreover, complex phenomena induced by time delay, such as the transition between nearly complete synchronization and phase synchronization, can be observed before the occurrence of complete synchronization.

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郑艳红,陆启韶.时滞影响下的环式耦合混沌神经元同步[J].动力学与控制学报,2008,6(3):208~212; Zheng Yanhong, Lu Qishao. Synchronization in ring coupled chaotic neurons with time delay[J]. Journal of Dynamics and Control,2008,6(3):208-212.

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  • 收稿日期:2007-10-09
  • 最后修改日期:2008-01-14
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