In this work, the existence and uniqueness of random attractors of a class of non-autonomous non-local fractional stochastic Ginzburg-Landau equation driven by colored noise with a nonlinear diffusion term is established. We comment that compared to white noise, the colored noise is much easier to handle in examining the pathwise dynamics of stochastic systems. Additionally, we prove the attractors of the random fractional Ginzburg-Landau system driven by a linear multiplicative colored noise converge to those of the corresponding stochastic system driven by a linear multiplicative white noise.

中文翻译：

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有色噪声驱动的非自治分数Ginzburg-Landau方程的动力学

在这项工作中，建立了由带有非线性扩散项的有色噪声驱动的一类非自治非局部分数阶随机Ginzburg-Landau方程的随机吸引子的存在性和唯一性。我们评论说，与白噪声相比，彩色噪声在检查随机系统的路径动力学方面要容易得多。此外，我们证明了由线性乘有色噪声驱动的随机分数Ginzburg-Landau系统的吸引子收敛于由线性乘有白噪声驱动的相应随机系统的吸引子。