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Stochastic Resonance in Bistable and Excitable Systems: Effect of Non-Gaussian Noises

机译:双稳态和双稳态系统中的随机共振:非高斯噪声的影响

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摘要

We analyze stochastic resonance in systems driven by non-Gaussian noises. For the bistable double well we compare the signal-to-noise ratio resulting from numerical simulations with some quasi-analytical results predicted by a consistent Markovian approximation in the case of a colored non-Gaussian noise. We also study the FitzHugh-Nagumo excitable system in the presence of the same noise. In both systems, we find that, as the noise departs from Gaussian behavior, there is a regime (different for the excitable and the bistable systems) in which there is a notable robustness against noise tuning since the signal-to-noise ratio curve broadens and becomes less sensitive to the actual value of the noise intensity. We also compare our results with some experiments in sensory systems.
机译:我们分析由非高斯噪声驱动的系统中的随机共振。对于双稳态双井,我们将数值模拟得到的信噪比与有色非高斯噪声情况下通过一致的马尔可夫近似预测的一些准分析结果进行比较。我们还研究了在相同噪声存在下的FitzHugh-Nagumo可激系统。在这两个系统中,我们发现,当噪声偏离高斯行为时,存在一种机制(对于可激励系统和双稳态系统有所不同),其中由于信噪比曲线变宽,因此在抗噪声调谐方面具有显着的鲁棒性。并且对噪声强度的实际值变得不太敏感。我们还将我们的结果与感觉系统中的一些实验进行比较。

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