Speaker: Tang Yilei, professor and doctoral supervisor, Shanghai Jiao Tong University

Date: May 23, 2025

Time: 8:30-9:00 am

Location: B924, Zhixin Building, Shandong University

Sponsor: School of Mathematics, Shandong University

Abstract:

In this talk we investigate the center problem and local integrability for generalized Kukles systems. We derive sufficient and necessary conditions for the origin of such systems with $\mathbb{Z}_2$-symmetry to be a center. Moreover, we provide examples to illustrate the center conditions using our theoretical results and give a negative answer to a conjecture proposed in the literature. Finally, we show that any nondegenerate centers of such systems are Liouvillian integrable for algebraically reducible when systems are rational.

For more information, please visit:

https://www.view.sdu.edu.cn/info/1020/202278.htm