American Institute of Mathematical Sciences

March  2020, 40(3): 1389-1409. doi: 10.3934/dcds.2020081

Existence of periodically invariant tori on resonant surfaces for twist mappings

 School of Mathematical Sciences, Beijing Normal University, Beijing 100875, China

* Corresponding author: Xiong Li

Received  January 2019 Revised  June 2019 Published  December 2019

Fund Project: The second author is supported by NSFC (11971059)

In this paper we will prove the existence of periodically invariant tori of twist mappings on resonant surfaces under the low dimensional intersection property.

Citation: Lianpeng Yang, Xiong Li. Existence of periodically invariant tori on resonant surfaces for twist mappings. Discrete & Continuous Dynamical Systems - A, 2020, 40 (3) : 1389-1409. doi: 10.3934/dcds.2020081
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