学术预告：张详谈“Homoclinic, heteroclinic and limit cycle bifurcations of singularly perturbed systems”

报告摘要：

   In this talk we introduce our recent results on singularly perturbed differential systems. The main results are on the persistence of homoclinic orbits and heteroclinic orbits on normally hyperbolic critical manifold, and the bifurcation of both limit cycle and homoclinic loop from a homoclinic loop on the critical manifold via singular perturbation in case that the systems form rotated vector fields. We also study the limit cycle bifurcation from the family of periodic orbits of the layer systems via the averaging method.

报告时间：2016年11月30日（周三）14:00-15:00

报告地点：下沙校区教学D楼204室(学术报告厅)

报告人简介：

上海交通大学特聘教授，博士生导师。享受国务院政府特殊津贴专家。入选教育部新世纪优秀人才和上海市曙光人才。主要从事常微分方程的定性、分支和动力可积理论的研究。现担任中国数学会奇异摄动专业委员会常务副理事长,中国数学会理事以及Qualitative Theory of Dynamical Systems和International J. Bifurcation and Chaos等SCI杂志的Associate编委。自1999年以来，连续主持国家自然科学基金项目或参加国家自然科学基金重点项目。主要结果发表在American J. Mathematics, Transactions of Amer. Math. Soc., Communications Math. Physics, J. Functional Analysis, Physica D, J. Nonlinear Science, J. Differential Equations和Ergodic Theoery and Dynamical Systems等国际核心期刊上。