Phys. Rev. E 64, 031908 (2001) [10 pages]Theoretical analysis of array-enhanced stochastic resonance in the diffusively coupled FitzHugh-Nagumo equationReceived 10 April 2001; published 30 August 2001 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. © 2001 The American Physical Society URL:
http://link.aps.org/doi/10.1103/PhysRevE.64.031908
DOI:
10.1103/PhysRevE.64.031908
PACS:
87.10.+e, 05.45.-a, 84.35.+i, 07.05.Mh
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