鞍-结分岔点附近的神经自发放电节律和随机自共振
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国家自然科学基金项目(1077210)、(30770701)、(10432010)和国家高新技术研究发展计划(2007AA02Z310)资助项目


Spontaneous firing rhythms and the autonomous stochastic resonance near saddle-node bifurcation in nervous system
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    摘要:

    研究了确定的和随机的神经放电数学模型中的鞍结分岔的动力学行为,随机模型中靠近鞍-结分岔点的随机节律被揭示为随机更新过程;还研究了相应于分岔点附近的随机自共振机制.结果不仅揭示了鞍-结分岔点附近的神经放电的统计特征和动力学机制,还给出了实用的鉴别现实神经系统中的鞍-结分岔的指标.

    Abstract:

    Dynamical behaviors near saddlenode bifurcation point in nervous system, in both deterministic and stochastic neuronal model, were simulated. The characteristics of neural firing induced by noise were revealed and identified to be a stochastic renewal process. Correspondingly, the autonomous stochastic resonance induced by noise was also studied. The results not only reveal the dynamics and characteristics of firing patterns near the saddlenode bifurcation point, but also provide practical method to identify the saddlenode bifurcation point in nervous system.

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张慧敏,杨明浩,化存才,古华光,任维.鞍-结分岔点附近的神经自发放电节律和随机自共振[J].动力学与控制学报,2008,6(4):332~336; Zhang Huimin, Yang Minghao, Hua Cuncai, Gu Huaguang, Ren Wei. Spontaneous firing rhythms and the autonomous stochastic resonance near saddle-node bifurcation in nervous system[J]. Journal of Dynamics and Control,2008,6(4):332-336.

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  • 收稿日期:2008-05-05
  • 最后修改日期:2008-05-28
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