论文标题
Banach空间上随机动力学系统的不变流形，展示了广义二分法
Invariant manifolds for Random Dynamical Systems on Banach Spaces exhibiting generalized dichotomies
论文作者
论文摘要
我们证明了在Banach空间上演变的线性随机动力学系统的小扰动的可测量不变流形的存在，并在连续和离散的时间内接受了一般类型的二分法。此外，不变歧管中的渐近行为类似于线性随机动力学系统之一。
We prove the existence of measurable invariant manifolds for small perturbations of linear Random Dynamical Systems evolving on a Banach space and admitting a general type of dichotomy, both for continuous and discrete time. Moreover, the asymptotic behavior in the invariant manifold is similar to the one of the linear Random Dynamical System.
