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郑 凡 博士：Poincare's normal form and its application to partial differential equations

本站小编 Free考研考试/2021-12-26


Academy of Mathematics and Systems Science, CAS
Colloquia & Seminars
Speaker: 郑 凡 博士，Instituto de Ciencias Matem′aticas, Madrid, Spain
Inviter:
Title:
 Poincare's normal form and its application to partial differential equations
Time & Venue:
 2021.06.25 16:00-17:00 南楼N204室 腾讯会议：134 916 578
Abstract:
 Among Poincare's numerous mathematical contributions is one related to the local theory of differential equations. Near an equilibrium point of a system of ordinary differential equations, one can transform the system to a "normal form", provided that certain "non-resonant" conditions are satisfied. In this talk, I will first introduce the concept of "resonance", and then present Poincare's theorem on his normal form. Finally I will talk about the extension of Poincare's normal form to partial differential equations, which is currently an active field of research.

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