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Periodic renewal processes: application to periodically driven FitzHugh-Nagumo system
Authors:T. Prager  A. B. Neiman  L. Schimansky-Geier
Affiliation:(1) Institute of Physics, Humboldt University of Berlin, Newtonstr. 15, 12489 Berlin, Germany;(2) Department of Physics and Astronomy, Ohio University, Athens, Ohio 45701, USA
Abstract:Stimulation with periodic force is a standard method to study response properties of a system. Here we examine a special type of systems which generate a sequence of events with uncorrelated time intervals. We review analytical tools to calculate the gain and the signal-to-noise ratio for such systems when perturbed by sinusoidal signal and then apply these tools to the stochastic FitzHugh-Nagumo model.
Keywords:  KeywordHeading"  >PACS 05.40.-a Fluctuation phenomena, random processes, noise, and Brownian motion
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