【online】The twist mapping theory and its application to an asymmetric oscillation
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题目：The twist mapping theory and its application to an asymmetric oscillation
摘要：Kolmogorov–Arnold–Moser (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.
方式：腾讯会议 ID：260985877 密码：123456