Periodic solution orbits of Hamiltonian systems via index iteration theory for symplectic paths - a survey
主 题: Periodic solution orbits of Hamiltonian systems via index iteration theory for symplectic paths - a survey
报告人: Professor Yiming Long (Chern Institute of Mathematics, Nankai University)
时 间: 2014-11-14 15:00-16:00
地 点: 理科一号楼1114(数学所活动)
Periodic solution orbits of Hamiltonian systems is a traditional and active topic in Hamiltonian dynamics. A useful tool to study these orbits is the index iteration theory for symplectic paths. In this talk I shall give a brief introduction on this theory and a survey on the problems on periodic solution orbits of Hamiltonian systems with prescribed energy, linear stability of 3-body problems, as well as other related problems including some recent results using this index iteration theory.