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首页> 外文期刊>Chaos, Solitons and Fractals: Applications in Science and Engineering: An Interdisciplinary Journal of Nonlinear Science >Experimental and numerical study of noise effects in a FitzHugh-Nagumo system driven by a biharmonic signal
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Experimental and numerical study of noise effects in a FitzHugh-Nagumo system driven by a biharmonic signal

机译:双谐波信号驱动的FitzHugh-Nagumo系统中噪声影响的实验和数值研究

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摘要

Using a nonlinear circuit ruled by the FitzHugh-Nagumo equations, we experimentally investigate the combined effect of noise and a biharmonic driving of respective high and low frequency F and f. Without noise, we show that the response of the circuit to the low frequency can be maximized for a critical amplitude B~(a?)- of the high frequency via the effect of Vibrational Resonance (V.R.). We report that under certain conditions on the biharmonic stimulus, white noise can induce V.R. The effects of colored noise on V.R. are also discussed by considering an Ornstein-Uhlenbeck process. All experimental results are confirmed by numerical analysis of the system response.
机译:使用由FitzHugh-Nagumo方程控制的非线性电路,我们实验研究了噪声和分别针对高低频F和f的双谐波驱动的组合效应。在没有噪声的情况下,我们表明,通过振动共振(V.R.)的作用,对于高频的临界振幅B〜(a′)-,电路对低频的响应可以最大化。我们报告说,在双谐波刺激的某些条件下,白噪声会诱发V.R。有色噪声对V.R.的影响还可以通过考虑Ornstein-Uhlenbeck过程来讨论。所有实验结果均通过系统响应的数值分析得到证实。

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