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题目:Topological instability in analytic Hamiltonian systems




时间:2019年4月30日 15:00-16:00




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