Eur. Phys. J. B 5, 133-138 (1998)
https://doi.org/10.1007/s100510050425

Frequency-sensitive stochastic resonance in periodically forced and globally coupled systems

¹ Department of Basic Science, Beijing University of Posts and Telecommunications, Beijing 100876, P.R. China
² Center of Theoretical Physics, Chinese Center of Advanced Science Technology (World Laboratory), Beijing 8730, P.R. China
³ Physics Department, Beijing Normal University, Beijing 100875, P.R. China

Corresponding author: ^a jhxiao@bupt.edu.cn

Received: 5 September 1997
Revised: 13 May 1998
Accepted: 18 May 1998
Published online: 15 September 1998

Abstract

A model of globally coupled bistable systems consisting of two kinds of sites, subject to periodic driving and spatially uncorrelated stochastic force, is investigated. The extended system models the competing process of activators and suppressers. Analytical computations for linear response of the system to the external periodic forcing is carried out. Noise-induced Hopf bifurcation is revealed, and stochastic resonance, sensitively depending on the frequency of the external forcing, is predicted under the Hopf bifurcation condition. Numerical simulations agree with the analytical predictions satisfactorily.