Theoretical analysis of array-enhanced stochastic resonance in the diffusively coupled FitzHugh-Nagumo equation

被引:0
|
作者
Kanamaru, T [1 ]
Horita, T
Okabe, Y
机构
[1] Tokyo Univ Agr & Technol, Dept Elect & Elect Engn, Tokyo 1848588, Japan
[2] Univ Tokyo, Dept Math Engn & Informat Phys, Tokyo 1138656, Japan
[3] Univ Tokyo, RCAST, Tokyo 1538904, Japan
来源
PHYSICAL REVIEW E | 2001年 / 64卷 / 03期
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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
The array-enhanced stochastic resonance (AESR) in the diffusively coupled FitzHugh-Nagumo equation is investigated. The two properties of AESR, namely, the scaling of the optimal noise intensity and the enhancement of the maximum value of the correlation coefficient as a function of the coupling strength, are analyzed theoretically. By transforming the dynamics of N elements into that of the mean and the deviation from it, it is found that AESR is caused by the correlation between them. A low-dimensional model that reproduces the above properties is constructed.
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页数:10
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