Theoretical analysis of array-enhanced stochastic resonance in the diffusively coupled FitzHugh-Nagumo equation - art. no. 031908

Authors
Kanamaru, T Horita, T Okabe, Y
Citation
T. Kanamaru et al., Theoretical analysis of array-enhanced stochastic resonance in the diffusively coupled FitzHugh-Nagumo equation - art. no. 031908, PHYS REV E, 6403(3), 2001, pp. 1908
Citations number
41
Categorie Soggetti
Physics
Journal title
PHYSICAL REVIEW E
ISSN journal
1063651X → ACNP
Volume
6403
Issue
3
Year of publication
2001
Part
1
Database
ISI
SICI code
1063-651X(200109)6403:3<1908:TAOASR>2.0.ZU;2-V
Abstract
The array-enhanced stochastic resonance (AESR) in the diffusively coupled F itzHugh-Nagumo equation is investigated. The two properties of AESR, namely , the scaling of the optimal noise intensity and the enhancement of the max imum value of the correlation coefficient as a function of the coupling str ength, are analyzed theoretically. By transforming the dynamics of N elemen ts into that of the mean and the deviation from it, it is found that AESR i s caused by the correlation between them. A low-dimensional model that repr oduces the above properties is constructed.