Kanamaru T, Horita T, Okabe Y
Department of Electrical and Electronic Engineering, Tokyo University of Agriculture and Technology, Tokyo 184-8588, Japan.
Phys Rev E Stat Nonlin Soft Matter Phys. 2001 Sep;64(3 Pt 1):031908. doi: 10.1103/PhysRevE.64.031908. Epub 2001 Aug 30.
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.
研究了扩散耦合FitzHugh-Nagumo方程中的阵列增强随机共振（AESR）。从理论上分析了AESR的两个特性，即最佳噪声强度的标度以及相关系数最大值随耦合强度的增强。通过将N个元素的动力学转化为均值及其偏差的动力学，发现AESR是由它们之间的相关性引起的。构建了一个再现上述特性的低维模型。
