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双色噪声激励下FHN神经元系统的稳态性质

杨亚强 王参军

物理学报2012,Vol.61Issue(12):111-116,6.
物理学报2012,Vol.61Issue(12):111-116,6.

双色噪声激励下FHN神经元系统的稳态性质

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

杨亚强 1王参军2

作者信息

  • 1. 宝鸡文理学院数学系,宝鸡721013
  • 2. 宝鸡文理学院非线性研究所,宝鸡721016
  • 折叠

摘要

Abstract

Making use of the unified colored noise approximation, the steady sate characteristics of the one-dimensional FitzHugh-Nagumo neural system with two different kinds of 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 T1, the self-correlated time of the additive noise T2,the intensity of the additive noise a, and the intensity of the multiplicative noise D can induce the transition. The increases of a and D are conducive to the switch from the exciting state to the resting state. However, with Tl and Tz increasing, the switch from the resting state to the exciting state becomes obvious. The noise intensity and corresponding self-correlated time play opposite roles.

关键词

FHN神经元系统/色噪声/稳态概率分布/平均值

Key words

FHN neural system/colored noise/steady state probability distribution function/mean value

分类

数理科学

引用本文复制引用

杨亚强,王参军..双色噪声激励下FHN神经元系统的稳态性质[J].物理学报,2012,61(12):111-116,6.

基金项目

国家自然科学基金(批准号:11165016),陕西省自然科学基金(批准号:20lOJQl014),陕西省教育厅科研计划项目(批准号:12JK0962)和宝鸡文理学院重点科研项目(批准号:ZKll053)资助的课题. ()

物理学报

OA北大核心CSCDCSTPCD

1000-3290

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