title: Period-doubling bifurcation in an array of coupled stochastically excitable elements subjected to global periodic forcing.
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.
authors: Department of Physiological Science, University of California, Los Angeles, California 90095, USA.
authors: Xiaohua
authors: X
authors: Cui
authors: Robert J
authors: RJ
authors: Rovetti
authors: Ling
authors: L
authors: Yang
authors: Alan
authors: A
authors: Garfinkel
authors: James N
authors: JN
authors: Weiss
authors: Zhilin
authors: Z
authors: Qu
mesh_terms: D003198:Computer Simulation; D008954:Models, Biological; D008962:Models, Theoretical; D013269:Stochastic Processes