Highly synchronized noise-driven oscillatory behavior of a FitzHugh-Nagumo ring with phase-repulsive coupling

Details Highly synchronized noise-driven oscillatory behavior of a FitzHugh-Nagumo ring with phase-repulsive coupling Highly synchronized noise-driven oscillatory behavior of a FitzHugh-Nagumo ring with phase-repulsive coupling

2007-04-10

arxiv.org/abs/0704.1171v1

AIP Conference Proceedings -- February 8, 2007 -- Volume 887, pp. 89-95

Physics

Condensed Matter

Statistical Mechanics

7 pages, 15 figures, uses aipproc.cls, aip-6s.clo and aipxfm.sty. ``Cooperative Behavior in Neural Systems: Ninth Granada Lect

Scientific paper

10.1063/1.2709590

We investigate a ring of $N$ FitzHugh--Nagumo elements coupled in \emph{phase-repulsive} fashion and submitted to a (subthreshold) common oscillatory signal and independent Gaussian white noises. This system can be regarded as a reduced version of the one studied in [Phys. Rev. E \textbf{64}, 041912 (2001)], although externally forced and submitted to noise. The noise-sustained synchronization of the system with the external signal is characterized.

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