Ergodicity of stochastic Rabinovich systems driven by fractional Brownian motion
Ergodicity of stochastic Rabinovich systems driven by fractional Brownian motion
复制标题
分数布朗运动驱动的随机拉宾诺维奇系统的遍历性
DOI：
10.1016/j.physa.2019.122955
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发表时间：
2020
期刊：
影响因子：
--
通讯作者：
Caibin Zeng
中科院分区：
文献类型：
--
作者：
Pengfei Xu;Jianhua Huang;Caibin Zeng
The current paper is devoted to dynamics of stochastic Rabinovich systems driven by fractional Brownian motion. By using Krylov–Bogoliubov criterion and constructing of Lyapunov function, the existence of invariant measure of stochastic Rabinovich system is established. The uniqueness of invariant measure is also obtained by the strong Feller property and topological irreducibility. Therefore the considered system possess exactly one invariant measure, which is also an unique adapted stationary solution.
