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    杨亚强, 王参军

    Steady state characteries of FitzHugh-Nagumo neural system subjected to two different kinds of colored noises

    Yang Ya-Qiang, Wang Can-Jun
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    • 应用统一色噪声理论研究了双色噪声激励下一维FitzHugh-Nagumo (FHN)神经元系统的动力学性质,即稳态概率分布函数和其平均值. 给出了FHN神经元系统的稳态概率密度和平均值的解析表达式. 结果表明: 乘性噪声的自关联时间1、加性噪声的自关联时间2、加性噪声强度和乘性噪声强度D都能够诱导非平衡相变的产生. 和D的增大有利于系统从激发态向静息态转换. 1, 2的增大有利于系统从静息态向激发态转换. 噪声强度和其自关联时间的作用完全相反.
      Making use of the unified colored noise approximation, the steady sate characteristics of the one-dimension of FitzHugh-Nagumo neural system with two different colored noises are investigated. The expressions of the steady state probability distribution function and the mean value are obtained. After numerical calculation, the results show that the self-correlated time of the multiplicative noise 1, the self-correlated time of the additive noise 2,the intensity of the additive noise , and the intensity of the multiplicative noise D can induce the transition. The increases of and D are conductive to the switch from the exciting state to the resting state. However, with 1 and 2 increasing, the switch from the resting state to the exciting state becomes obvious. The noise intensity and it self-correlated time play opposite roles.
        • 基金项目:国家自然科学基金(批准号:11047146)、陕西省自然科学基金 (批准号:2010JQ1014)和宝鸡文理学院重点科研项目(批准号:ZK11053)资助的课题.
        • Funds:Project supported by the National Natural Science Foundation of China (Grant No. 11047146), the Natural Science Foundation of Shaanxi Province, China (Grant No.2010JQ1014), and the Science Foundation of Baoji University of Science and Arts, China (Grant No. ZK11053).
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      计量
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      • PDF下载量:709
      • 被引次数:0
      出版历程
      • 收稿日期:2011-11-30
      • 修回日期:2011-01-22
      • 刊出日期:2012-06-05

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