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

被引：216
|
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].
引用
收藏
页码：7270 / 7276
页数：7
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