Stochastic bifurcations of a three-dimensional stochastic Kolmogorov system
Chenwan Zhou
New York University Shanghai Peoples Rep of China
Co-Author(s): Dongmei Xiao, Deng Zhang, Chenwan Zhou
Abstract:
We study stochastic bifurcations of ergodic stationary measures and stochastic dynamics of a stochastic Kolmogorov system. There exists a threshold noise intensity $\sigma_0$ such that when $\sigma \ge \sigma_0$, the noise destorys all deterministic bifurcations; when $0 < \sigma < \sigma_0$, the unique ergodic measure bifurcates into three types of ergodic measures.
