9-23【况闻天】Constructing Birkhoff sections for integrable system

发布时间:2024-09-11来源:几何与物理研究中心中文网页浏览次数:10

报告人:况闻天(大湾区大学(筹))

时间:2024年9月23日 10:00-11:00

地点:物质科研楼C1124



In this report, we present a method for directly constructing Birkhoff sections on energy surfaces of integrable Hamiltonian systems and provide the necessary and sufficient conditions for the existence of different types of boundary orbits. This method can be applied to boundaries of toric domains and energy surfaces of separable Hamiltonian systems, obtaining conditions for the existence or non-existence of different types of Birkhoff section.