微分动力系统学术报告

报告题目: On the periodic orbits of the n-vortex problem

报告人：王峮（多伦多大学）

时间： 2023-07-05 9:00-10:00

腾讯会议: 270-374-067

https://meeting.tencent.com/dm/7xq4e5eaXm7U

摘要：We investigate the dynamical behaviors of the n-vortex problem with arbitrary circulations on the plane as well as on the sphere, equipped with an arbitrary metric g. By mixing information from the Riemannian metric and the symplectic form, we discuss the Morse property of the Hamiltonian and show that under some non-degenerate condition on the circulation vector, for generic g the n-vortex problem possesses finitely many fixed points and infinitely many periodic orbits.

邀请人：张金华、文晓