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| 鞍-结分岔点附近的神经自发放电节律和随机自共振 | |
| 引用本文： | 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. |
| 作者姓名： | 张慧敏 杨明浩 化存才 古华光 任维 |
| 作者单位： | 1. 云南师范大学数学学院,昆明,650092;陕西师范大学生命科学学院,西安,710062 2. 陕西师范大学生命科学学院,西安,710062 3. 云南师范大学数学学院,昆明,650092 |
| 基金项目： | 国家自然科学基金 ， 国家高技术研究发展计划(863计划) |
| 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. |
| 关 键 词： | 鞍-结分岔 随机自共振 神经放电模式 Ⅰ型兴奋 |
| 收稿时间： | 5/5/2008 12:00:00 AM |
| 修稿时间： | 2008/5/28 0:00:00 |
Spontaneous firing rhythms and the autonomous stochastic resonance near saddle-node bifurcation in nervous system |
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| Zhang Huimin,Yang Minghao,Hua Cuncai,Gu Huaguang and 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. | |
| Authors: | Zhang Huimin Yang Minghao Hua Cuncai Gu Huaguang and Ren Wei |
| Affiliation: | 1.Department of Mathematics;Yunnan Normal University;Kunming 650092;China;2.School of Life Science;Shanxi Normal University;Xi'an 710062;China |
| 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 ... |
| Keywords: | saddle-node bifurcation autonomous stochastic resonance neural firing pattern type I excitability |
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