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