学术报告三十:张祥—Dynamics of complex planar polynomial Hamiltonian systems

发布时间:2019-09-28

报告时间2019929日(星期日)16:00

报告地点:翡翠湖校区科教楼B1710

报告人张祥教授

工作单位:上海交通大学


  

报告人简介:张祥,上海交通大学特聘教授(享受国务院特殊津贴,二级教授)、博导,欧洲科学与艺术院院士。主要从事动力系统的定性、分支和可积理论的研究。所得结果部分发表在American J. Math. Transactions Amer. Math. Soc., Communications Math. Phys., J. Functional Analysis, J. Nonlinear Sciences J. Differential Equations等国际一流数学杂志上。多次应邀在欧美举行的动力系统国际会议上做大会特邀报告。目前担任中国数学会奇异摄动专业委员会主任,中国数学会理事,以及国际SCI杂志《Qualitative Theory of Dynamical Systems》和《International J. Bifurcation and Chaos》的Associate编委等。

报告简介:In this talk we introduce our recent results on global dynamics of complex planar Hamiltonian polynomial systems.We clarify locally analytic linearizability of complex planar Hamiltonian systems with homogeneous nonlinearity of degrees either 2 or 3 at a nondegenerate singularity, and present their global dynamics. For these classes of systems we also prove existence of families of invariant tori, together with isochronous periodic orbits.