differential equations on R^N

We consider the averaging principle for the multi-scale fractional stochastic nonautonomous FitzHugh-Nagumo system on the whole Euclid space, where the drift term is a nonlinear function that has an arbitrary polynomial growth rate in its last argument, and the diffusion term is a family of locally Lipschitz continuous functions. First we prove the existence and uniqueness of a periodic evolution system of measures for the frozen equation, and then establish the exponential ergodicity for the stochastic systems under certain conditions. By using the time discretization and variational methods, we finally show the strong rate of convergence for the slow component of the solution operator.

报告人简介：王凤玲，女，博士毕业于西南大学和塞维利亚大学（西班牙）， 现为北京应用物理与计算数学研究所博士后。主要从事无穷维动力系统的渐近行 为理论研究，主持中国博士后科学基金项目1 项。