学术报告

【online】Persistence of lower dimensional degenerate invariant tori ......

发布人:发布时间: 2020-12-18

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题目:Persistence of lower dimensional degenerate invariant tori with prescribed frequencies in Hamiltonian systems with small parameter


报告人:徐君祥 (东南大学


摘要:In this paper we develop some KAM technique to prove the persistence of lower dimensional elliptic-type degenerate invariant  tori with prescribed frequencies in Hamiltonian systems. The proof is based on a formal KAM theorem with parameters, which make us be able to   solve equilibrium and choose parameter for small divisor conditions after the KAM iteration, instead in each KAM steps as the traditional KAM method.

 Moreover, it also depends on the existence of a connected path of real roots of approximating odd-degree real polynomials depending on parameter, which makes it possible to tackle the Melnikov's conditions.


时间:2020122415:00-16:00


报告方式:腾讯会议   ID405149259  密码:123456


邀请人:胡盛清 老师