In this paper, we introduce the concept of uniform pullback asymptotic compactness of a non-autonomous random dynamical system, and prove the existence of random uniform and cocycle attractor with autonomous attraction universes for non-autonomous stochastic FitzHugh–Nagumo system with multiplicative noise defined on whole space. Some properties of random uniform and cocycle attractor are shown. The method of tail estimates plays an important role.

中文翻译：

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无界域上非自治随机 FitzHugh-Nagumo 系统的随机均匀吸引子和随机同环吸引子

在本文中，我们引入了非自治随机动力系统的均匀回拉渐近紧性的概念，并证明了非自治随机 FitzHugh-Nagumo 系统的具有自主吸引宇宙的随机均匀和同轮吸引子的存在性，乘法噪声定义在整个空间。显示了随机均匀和共环吸引子的一些性质。尾部估计的方法起着重要的作用。