论文标题
在阴影和随机稳定性上
On shadowing and Stochastic Stability
论文作者
论文摘要
在本文中，我们研究具有阴影特性的动力系统的随机稳定性，该系统在小的随机扰动下演变。我们证明，相对于随机扰动的动力学的固定度量，时间平均沿伪 - 突触设备收敛。特别是，如果动态系统具有阴影属性，我们证明当噪声水平达到零时，固定度量会收敛到物理措施。
In this paper, we study stochastic stability of a dynamical system with shadowing property, which evolves under small random perturbation. We prove that time averages along the pseudo-trajectory converge with respect to stationary measure for the randomly perturbed dynamics. In particular, we prove that stationary measures converge to physical measures when the noise level goes to zero if dynamical system has a shadowing property.
