09-12 【姜恺】1418 吴文俊数学重点实验室Dynamical Systems Seminar

发布者:系统管理员发布时间:2019-09-05浏览次数:1

报告题目:Local normalization of non-degenerate smooth integrable systems

报告人:姜恺,北京大学

时间:2019912日(周四)下午400--500

地点:东区管理科研楼1418教室

摘要:In this talk, I will introduce a geometric linearization of integrable vector fields around  non-degenerate singularities.I will first recall the classification of singularities of linear systems and  introduce the Poincare-Dulac normal form for nonlinear systems.Then I will present a local normal form of the vector fields formulated by its linear part and its first integrals under the condition of integrability.I will discuss big differences of integrable systems in different categories (formal, analytic, smooth) and give some new results for smooth systems.

 

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