Existence of periodically invariant tori on resonant surfaces for twist mappings

Lianpeng Yang; Xiong Li

doi:10.3934/dcds.2020081

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2020, Volume 40, Issue 3: 1389-1409. Doi: 10.3934/dcds.2020081

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Existence of periodically invariant tori on resonant surfaces for twist mappings

Lianpeng Yang and
Xiong Li^,

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

^* Corresponding author: Xiong Li
^* Corresponding author: Xiong Li

Received: December 31, 2018

Revised: May 31, 2019

Published: December 2019

The second author is supported by NSFC (11971059)

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

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Mathematics Subject Classification: Primary: 37E40; Secondary: 37J40.

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References

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