报告题目: Results and open problems on the algebraic limit cycles of the planar polynomial differential systems

报告人: Jaume Llibre

报告时间: 12 October 16:00-17:30

报告地点：Zoom: 975 6468 3690

https://westernuniversity.zoom.us/j/97564683690

报告摘要: In this talk we summarize some results and open problems on the algebraic limit cycles of the planar polynomial differential systems. More precisely,

(i) we study the maximum number of algebraic limit cycles of the polynomial differential differential systems of degree n;

(ii) we show how to use the algebraic limit cycles for proving that any finite configuration of limit cycles can be realized by some polynomial differential system;

(iii) we provide the maximum number of algebraic limit cycles formed by circles that a polynomial differential system of degree n can exhibit;

(iv) we study the algebraic limit cycles of the polynomial differential systems of degree 2.

报告人简介：Jaume Llibre，西班牙巴塞罗那自治大学教授，西班牙皇家科学院院士，动力系统和天体力学领域国际知名学者，领导一个十分活跃的研究团队。曾应邀到许多国家访问、讲学与合作研究，目前与20多个国家的240多人合作，已发表1000多篇学术论文，出版15本专著。担任国际SCI杂志《Qualitative Theory of Dynamical Systems》的主编，国际SCI杂志《Nonlinear Analysis: Real World Applications》 《International Journal of Bifurcation and Chaos》 《Journal of Applied Analysis and Computation》与《Journal of Difference Equations and Applications》的编委。他本人以及他领导的团队成员与我国多所大学的同行有长期的交流、互访与合作。