We investigate the asymptotic behavior of a class of non-autonomous stochastic FitzHugh–Nagumo systems driven by additive white noise on unbounded thin domains. For this aim, we first show the existence and uniqueness of random attractors for the considered equations and their limit equations. Then, we establish the upper semicontinuity of these attractors when the thin domains collapse into a lower-dimensional unbounded domain.

中文翻译：

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无界薄域上具有加性噪声的随机 FitzHugh-Nagumo 系统的动力学

我们研究了由无界薄域上的加性白噪声驱动的一类非自治随机 FitzHugh-Nagumo 系统的渐近行为。为此，我们首先展示了所考虑方程及其极限方程的随机吸引子的存在性和唯一性。然后，当薄域坍缩成低维无界域时，我们建立了这些吸引子的上半连续性。