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非高斯噪声激励下FHN神经元系统的定态概率密度与平均首次穿越时间
  • ISSN号：1000-3290
  • 期刊名称：《物理学报》
  • 时间：0
  • 分类：O211[理学—概率论与数理统计;理学—数学] TP183[自动化与计算机技术—控制科学与工程;自动化与计算机技术—控制理论与控制工程]
  • 作者机构：[1]西北工业大学应用数学系,西安710072
  • 相关基金：国家自然科学基金（批准号：10872165）资助的课题.
作者： 赵燕[1], 徐伟[1], 邹少存[1]
关键词： FHN神经元系统, 非高斯噪声, 定态概率密度, 平均首次穿越时间, FitzHugh-Nagumo neural system,non-Gaussian noises,steady probability distribution,mean first-passage time
中文摘要：

研究了非高斯噪声激励下的FHN神经元系统,应用路径积分法和统一色噪声近似得到系统的定态概率密度函数和平均首次穿越时间表达式.发现了加性噪声强度Q能够诱导非平衡相变的产生,乘性噪声强度D、偏离参数p及关联时间τ0均不能诱导非平衡相变发生;非高斯噪声的存在缩短了细胞神经元系统静息态和激发态之间的转化时间,有利于神经元信息的传递.

英文摘要：

We investigated the FitzHugh-Nagumo neural system driven by non-Gaussian noise. The expressions of the stationary probability distribution and the mean first-passage time are obtained through the path-integral approach and the unified colored noise approximation. The results show that the intensity of additive noise can induce phase transition,while the intensity of multiplicative noise,the derivation parameter and the correlation time cannot. The non-Gaussian noise shortens transformation time between resting state and excited state and is beneficial to transmission of information in neural system.

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期刊信息
  • 《物理学报》
  • 北大核心期刊（2011版）
  • 主管单位:中国科学院
  • 主办单位:中国物理学会 中国科学院物理研究所
  • 主编：欧阳钟灿
  • 地址：北京603信箱(中国科学院物理研究所)
  • 邮编：100190
  • 邮箱：apsoffice@iphy.ac.cn
  • 电话：010-82649026
  • 国际标准刊号：ISSN：1000-3290
  • 国内统一刊号：ISSN：11-1958/O4
  • 邮发代号:2-425
  • 获奖情况:
  • 1999年首届国家期刊奖,2000年中科院优秀期刊特等奖,2001年科技期刊最高方阵队双高期刊居中国期刊第12位
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  • 美国化学文摘（网络版）,荷兰文摘与引文数据库,美国工程索引,美国科学引文索引（扩展库）,英国科学文摘数据库,日本日本科学技术振兴机构数据库,中国中国科技核心期刊,中国北大核心期刊（2004版）,中国北大核心期刊（2008版）,中国北大核心期刊（2011版）,中国北大核心期刊（2014版）,中国北大核心期刊（2000版）
  • 被引量:49876