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Resonance identities of closed orbits in Hamiltonian dynamics and applications
发布时间:2017-12-27     点击次数:
报告题目: Resonance identities of closed orbits in Hamiltonian dynamics and applications
报 告 人: 刘会 副教授(武汉大学数学与统计学院)
报告时间: 2017年12月28日 12:15--12:50
报告地点: 理学院东北楼一楼报告厅
报告摘要:

Resonance identities of closed orbits in Hamiltonian dynamics are powerful tools to study the multiplicity and stability problems of closed orbits. In recent years, we have established some new resonance identities of closed characteristics on compact star-shaped hypersurfaces and non-contractible closed geodesics on Finsler compact space forms, which are successfully used to obtain new results on multiplicity and stability of closed characteristics and closed geodesics. In this talk, I will give a survey of our results. These are joint works with Huagui Duan, Yiming Long, Wei Wang and Yuming Xiao.

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