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

机译:周期性强迫和全局耦合系统中的频率敏感随机共振

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摘要

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.
机译:研究了由两种站点组成的全局耦合双稳态系统模型,该系统受周期性驱动和空间不相关的随机力的影响。扩展系统模拟了激活剂和抑制剂的竞争过程。进行了系统对外部周期性强迫的线性响应的分析计算。揭示了由噪声引起的Hopf分叉,并在Hopf分叉条件下预测了取决于外部强迫频率的随机共振。数值模拟与分析预测令人满意。

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