We first give an existence criterion for a random uniform exponential attractor for a jointly continuous non-autonomous random dynamical system defined on the product space of [Formula: see text]-weighted spaces of infinite sequences. Then, based on this criterion, we prove the existence of random uniform exponential attractors for stochastic lattice systems and stochastic FitzHugh–Nagumo lattice systems that are both with quasi-periodic forces.

中文翻译：

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具有准周期力和乘性噪声的非自治随机晶格系统和 FitzHugh-Nagumo 晶格系统的随机均匀指数吸引子

我们首先给出了一个随机均匀指数吸引子的存在准则，用于定义在无限序列的乘积空间上的联合连续非自治随机动力系统。然后，基于这个标准，我们证明了随机晶格系统和随机 FitzHugh-Nagumo 晶格系统都具有准周期力的随机均匀指数吸引子的存在。