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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.

SUBMITTER: Cui X

PROVIDER: S-EPMC2761886 | biostudies-literature | 2009 Jul

REPOSITORIES: biostudies-literature

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Period-doubling bifurcation in an array of coupled stochastically excitable elements subjected to global periodic forcing.

Cui Xiaohua X Rovetti Robert J RJ Yang Ling L Garfinkel Alan A Weiss James N JN Qu Zhilin Z

Physical review letters 20090722 4

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 recruitm ...[more]

PMID: 19659359

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