数学
乘性噪声
随机微分方程
应用数学
乘法函数
噪音(视频)
数学分析
计算机科学
信号传递函数
数字信号处理
人工智能
模拟信号
计算机硬件
图像(数学)
作者
Qiyong Cao,Hongjun Gao
标识
DOI:10.1016/j.jde.2024.03.024
摘要
We consider the (rough) stochastic differential equations driven by a linear multiplicative fractional Brownian motion with Hurst index H∈(12,1) (or a linear multiplicative geometric fractional Brownian rough path with Hurst index H∈(13,12]), we construct the pullback random attractors for these two type noises via the transformation method. Furthermore, we obtain the invariant probability measures, which are supported on the pullback random attractors. Finally, we obtain the limit behavior of the invariant probability measures.
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