Document Type
Article
Publication Date
7-24-2009
Abstract
The collective behaviors of coupled, stochastically excitable elements subjected to global periodic forcing are investigated numerically and analytically. We show that the whole system undergoes a period-doubling bifurcation as the driving period decreases, while the individual elements still exhibit random excitations. Using a mean-field representation, we show that this macroscopic bifurcation behavior is caused by interactions between the random excitation, the refractory period, and recruitment (spatial cooperativity) of the excitable elements.
Citation / Publisher Attribution
Rovetti, Robert [et al]. (2009) "Period-Doubling Bifurcation in an Array of Coupled Stochastically Excitable Elements Subjected to Global Periodic Forcing." Physical Review Letters 103, 044102.
Publisher Statement
Link to publisher version (required):
http://journals.aps.org/prl/abstract/10.1103/PhysRevLett.103.044102