学术活动
Normal forms
2023-05-23
点击次数:大阳城集团99aa(中国)有限公司
时间:2023年5月23日(周二)上午10:00-11:00
地点:教二楼827
主讲人:Alain Chenciner,法国巴黎天文台,巴黎七大
主持人:魏巧玲
主讲人简介:Alain CHENCINER是动力系统与三体问题的著名专家,法国巴黎第七大学特级数学教授,美国数学学会会士,2012年国际数学家大会邀请报告人。他和法国天文学家Jacques LASKAR院士一起创建巴黎天文台天体力学研究所天文学与动力系统研究小组。在中国作家刘慈欣的长篇小说《三体》的第146页,就提到了CHENCINER教授的研究工作。
主讲内容简介:How to understand geometrically the main features of the action of a transformation and its iterates, or of the behavior of the solutions of a differential equation ?
At the end of 19th century, in his thesis, Poincaré introduces the notion of “normal form”, that is the form taken by the map or the differential equation in a system of coordinates which reveals as much as possible of its qualitative behavior.
We shall consider this notion in one of its simplest occurrences, already very rich, the study of a local analytic diffeomophism of the plane around an elliptic fixed point.