报告题目: THE CENTER-FOCUS PROBLEM,THE INTEGRABILITY OF THE CENTERS,AND THE DIVERGENCE
报告时间：2016年11月8日（星期二）上午10：00
报告地点：清水河校区主楼A1-512
报告摘要: We shall recall briefly how can be the local phase portraitsof the equilibrium points of an analytic differential system in the plane, and we shall put our attention in the center-focus problem, i.e. how to distinguish a center from a focus. This is a difficult problem which is not completely solved. We shall provide some new results about the local integrability of the centers and on the problem of distinguish one focus from a center using the divergence of the differential system.
报告人简介：Prof. Jaume Llibre 是西班牙皇家科学院院士，巴塞罗那自治大学教授。现任《Qualitative Theory of Dynamical Systems》杂志主编及《Nonlinear Analysis: Real World and Applications》，《Journal of Difference Equations and Applications》，《International Journal of Bifurcation and Chaos》等期刊编委。他主要从事多项式微分系统的周期轨，平面微分向量场分叉，微分方程定性理论以及中心的等时性方面的研究。发表学术论文800多篇，出版专著19部，组织国际会议20余次。2012年当选西班牙皇家科学院院士。
