CHINA·77779193永利(集团)有限公司-Official website

学术报告

Connections of three paradigmatic periodic solutions in three-body problem


题目:Connections of three paradigmatic periodic solutions in three-body problem

报告人:Zhifu Xie(Virginia State University)

摘要: In this talk, we discuss some preliminary results about the possible connections of periodic solutions in three paradigmatic examples of three-body problem: Schubart orbit, Broucke-Henon orbit and the figure-eight orbit. J. von Schubart numerically discovered Schubart orbit in 1956. Moeckel gave a proof of the existence based on topological methods and Venturell proved the existence based on variational approach in 2008. Broucke-Henon orbit was numerically discovered by Broucke and Henon (1975) independently and their existence are recently proved via variational methods with Structural Prescribed Boundary Conditions (SPBC) by Ouyang-Xie-Yan (Preprint, 2015). Figure-eight orbit was first numerically discovered by Moore (1993) and its existence was proved by Chenciner and Montgomery (2000) and by Zhang and Zhou (2002).

时间:2016年6月22日(周三)下午 16:00-17:00

地点:首都师范大学北一区文科楼302教室

欢迎全体师生积极参加!