题目：Topological instability in analytic Hamiltonian systems

报告人：陈秦波（中国科学院晨兴数学中心）

时间：2019年4月30日 15:00-16:00

地点：蒙明伟楼1105

摘要：In this talk, I will mainly discuss the instability phenomenon under the effect of small real-analytic Hamiltonian perturbations. With a general geometric mechanism, we can construct local diffusing trajectories (i.e. the slow action variables drift by a quantity of order 1) in a priori unstable Hamiltonian systems of arbitrary n>2 degrees of freedom. We also prove that such an evolution occurs under a generic (i.e. open-dense) real-analytic perturbation. This is joint work with R. de la Llave.

邀请人：程伟 老师