学术报告

【online】The twist mapping theory and its application to an asymmetric oscillation

发布人:发布时间: 2021-01-19

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题目:The twist mapping theory and its application to an asymmetric oscillation


报告人: 黄鹏(贵州大学)


摘要:KolmogorovArnoldMoser (or KAM) theory is a powerful method about the persistence of quasi-periodic solutions and almost periodic solutions under small perturbations. KAM theory is not only a collection of specific theorems, but rather a methodology, a collection of ideas of how to approach certain problems in perturbation theory connected with small divisors. This report mainly introduces the existence of invariant curves of planar twist mappings which are quasi-periodic or almost periodic in a spatial variable. As an application of this result to differential  equations we will prove the existence of quasi-periodic, almost periodic solution and the boundedness of all solution for an asymmetric oscillation with an quasi-periodic or almost periodic  external force.


时间:202112010:00-11:00


方式:腾讯会议  ID260985877 密码:123456


邀请人:胡盛清 老师