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

報告人：徐君祥 （東南大學 ）

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.

時間：2020年12月24日 15:00-16:00

報告方式：騰訊會議   ID：405149259  密碼：123456

邀請人：胡盛清 老師