报告题目:Singularly perturbedsystems: turning point theory and its application
报告时间:5月17日16:30
报告地点:数理楼412
报告人简介:张祥,上海交通大学二级教授、博导、特聘教授,欧洲科学与艺术院院士。主要从事动力系统的定性、分支和可积理论的研究。所得结果部分解决了长期遗留的困难的公开问题和猜想,部分结果发表在American J. Math. Communications Math. Phys., J. Functional Analysis和J. Differential Equations等国际一流数学杂志上。多次应邀在欧美举行的动力系统国际会议上做大会特邀报告。目前担任中国数学会奇异摄动专业委员会主任,中国数学会理事和两个国际SCI杂志《QualitativeTheory of Dynamical Systems》和《InternationalJ.Bifurcation and Chaos》的Associate编委等。
摘要:In this talk, we introduceour recent results on turning point theory of singular perturbed systems, whichcauses stability loss delay phenomena, of singularly perturbed systems. As anapplication of our theory, we study the existence of relaxation oscillation of a modelfrom bioeconomy. The main tools are geometric singular perturbation theoryincluding blow--up techniques.