Analytical approach to the stochastic FitzHugh-Nagumo system and coherence resonance

被引：219

作者：

Lindner, B ^{[1
]}

Schimansky-Geier, L ^{[1
]}

机构：

[1] Humboldt Univ, Inst Phys, D-10115 Berlin, Germany

来源：

PHYSICAL REVIEW E | 1999年 / 60卷 / 06期

关键词：

D O I：

10.1103/PhysRevE.60.7270

中图分类号：

O35 [流体力学]; O53 [等离子体物理学];

学科分类号：

070204 ; 080103 ; 080704 ;

摘要：

We consider the FitzHugh-Nagumo system under the influence of white Gaussian noise in the excitable regime. We present an analytical approximation in the limit of fast activator time scale. Marginal probability densities of a reduced system and dynamical quantities such as the pulse rate are found and the mean interspike interval and its relative standard deviation are investigated. The latter quantities allow a quantitative description of the phenomenon of coherence resonance, as comparisons with simulations show. [S1063-651X(99)04112-4].

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页码：7270 / 7276

页数：7

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