報告題目：Index theory and rotating periodic solutions of Hamiltonian systems
報 告 人：邢佳敏 副教授 東北師範大學
報告時間：2023年12月6日 16:00-17:00
報告地點：數學樓一樓第一報告廳
校内聯系人：張赫 he_zhang@jlu.edu.cn
報告摘要：This talk concerns the existence of multiple rotating periodic solutions for 2n dimensional Hamiltonian systems. For the symplectic orthogonal matrix Q, the rotating periodic solution has the form of z(t+T) = Qz(t), which might be periodic, anti-periodic, sub-harmonic or quasi-periodic according to the structure of Q. It is proved that there exist at least n geometrically distinct rotating periodic solutions on a given Q invariant energy surface. In order to prove the results, we introduce a new index on rotating periodic orbits.
報告人簡介：邢佳敏，東北師範大學數學與統計學院副教授，碩士生導師。本科、博士均畢業于吉林大學，主要從事微分方程和動力系統的研究，在 J. Differential Equations, J. Stat. Phys., Sci. China Math.等期刊上發表論文多篇，主持國家自然科學基金青年基金等項目。
