主题: Dynamics, integrability and topology for Lotka--Volterra Hamiltonian systems in主讲人: 肖冬梅 教授地点: 松江校区2号学院楼454会议室时间: 2017-01-05 13:30:00组织单位: 理学院
主讲人简介：肖冬梅，上海交通大学数学科学学院教授，常务副院长，国家杰出青年基金获得者，主要从事常微分方程和动力系统、生物数学的研究。
内容摘要：In this talk we first introduce the sufficient and necessary conditions in order that two classes of polynomial Kolmogorov systems in $\R_+^4$ are Hamiltonian systems. Then we discuss the integrability of these Hamiltonian systems in the Liouville sense and investigate the global dynamics of the completely integrable Lotka--Volterra Hamiltonian systems in $\R_+^4$. As an application of the invariant subsets of these systems, we obtain topological classifications of the $3$-submanifolds in $\R_+^4$ defined by the hypersurfaces $a x y + b z w+ c x^2 y + d x y^2 + e z^2 w + f z w^2=h$, where $a, b, c, d, e, f, w$ and $h$ are real constants.讲座主持：寇春海
讲座语言：英语