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模块神经元网络中耦合时滞诱导的簇同步转迁
引用本文:王蔓蔓,杨晓丽. 模块神经元网络中耦合时滞诱导的簇同步转迁[J]. 动力学与控制学报, 2016, 14(6): 555-560. DOI: 10.6052/1672-6553-2016-012
作者姓名:王蔓蔓  杨晓丽
作者单位:陕西师范大学数学与信息科学学院,西安,710062
基金项目:国家自然科学基金资助项目(11572180),陕西省自然科学基础研究计划项目(2014JQ1013),中央高校基本科研业务费专项基金(GK201302001)资助的课题
摘    要:利用Courbage-Nekorkin-Vdovin神经元构建含有耦合时滞的模块神经元网络模型,通过数值模拟研究了耦合强度及耦合时滞对模块神经元网络簇同步放电特性的影响.研究结果表明,适当大的耦合强度可以诱导模块神经元网络达到簇同步.同时,研究发现耦合时滞可以诱导模块神经元网络出现簇同步转迁,且当时滞大小约为网络中所有神经元平均振荡周期的整数倍数时,模块神经元网络的簇同步现象能够间歇性出现.此外,研究结果表明时滞诱导的簇同步转迁对子网络内的耦合强度、子网络间的连接概率具有鲁棒性.

关 键 词:模块神经元网络  耦合时滞  簇同步转迁
收稿时间:2015-12-17
修稿时间:2016-01-31

Coupling delay-induced burst synchronization transitions in a modular neuronal network
Wang Manman and Yang Xiaoli. Coupling delay-induced burst synchronization transitions in a modular neuronal network[J]. Journal of Dynamics and Control, 2016, 14(6): 555-560. DOI: 10.6052/1672-6553-2016-012
Authors:Wang Manman and Yang Xiaoli
Abstract:Though constructing a model of delay-coupled modular neuronal network by Courbage-Nekorkin-Vdovin neuron elements, this paper numerically studies the effect of coupling strength and delay on the firing properties of burst synchronization. The results shows that appropriately large coupling strength can induce burst synchronization in this modular neuronal network. At the same time, it is found that coupling delay can induce the transitions of burst synchronization for the modular neuronal network. Moreover, all these transitions of burst synchronization occur approximately when the value of the delay approximately equates to the integer multiples of average oscillation period for all the neurons in the modular neuronal network. Additionally, delay-induced burst synchronization transitions are confirmed to be robust to the intra-coupling strength and the inter-connection probability in the modular neuronal network.
Keywords:modular neuronal network  coupling delay  burst synchronization transitions
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