关于Universitat Autonoma de Barcelona Jaume Llibre教授和上海交通大学张祥教授来校讲学的预告

应数学与计算科学学院、广西应用数学中心(太阳成集团tyc122cc)及广西高校数据分析与计算重点实验室邀请，Universitat Autonoma de BarcelonaJaume Llibre教授和上海交通大学张祥教授将于2023年10月14日来校讲学，欢迎全校师生踊跃参加。报告具体安排如下：

时间：2023年10月14日（周六）上午9:00－

地点：花江校区第6教学楼306会议室

报告题目一：C^1 Integrability via periodic orbits

主讲人：Jaume Llibre教授

报告摘要：

Kovalevskaya's idea and consequently Ziglin's and Morales-Ramis' theory go back to Poincare, who used the multipliers of the monodromy group of the variational equations associated to periodic orbits for studying the non integrability of autonomous differential systems. The main difficulty for applyingPoincare's non integrability method to a given autonomous differential system is to find for such an equation periodic orbits having multipliers different from 1.We shall apply Poincare's results for studying the C^1 integrability of the Lorenz system, the Rossler system, the Michelson system, the Henon--Heiles Hamiltonian system and the Yang-Mills Hamiltonian system.

主讲人简介：

JaumeLlibre，西班牙巴塞罗那自治大学教授，西班牙皇家科学院院士，2009年获西班牙ICREAAcademia奖。研究方向为常微分方程与动力系统。主要结果发表在：MemoryAMS，Commun.PureAppl.Math.，Adv.Math.，Trans.Amer.Math.Soc.等世界一流数学期刊上。

报告题目二：The classical predator-prey model with the generalized Holling III functional response

主讲人：张祥教授

报告摘要：

This talk introduces our results on the global dynamics of the classical predator-prey models with the generalized Holling type III functional response. We will show that this system has rich dynamics, such as sub-and supercritical Hopf bifurcation, Bogdanov-Takens bifurcation, relaxation oscillation, canard explosion, homoclinic and heteroclinic connections and so on. The main tools are qualitative and bifurcation theories together with singular perturbation theory.

主讲人简介：

上海交通大学特聘教授（二级教授、享受国务院特殊津贴）、欧洲科学与艺术院院士。从事动力系统的定性、分支和可积理论、以及奇异摄动理论的研究。主要结果发表在Adv. Math., American J. Math., Comm. Math Phys., J. Differential Equations, J. Functional Analysis, Trans. Amer. Math. Soc. 等国际期刊上。目前担任中国数学会奇异摄动专业委员会主任、以及IJBC和QTDS等SCI杂志的编委等。