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

This issue Previous Article Positive Lyapunov exponent for a class of quasi-periodic cocycles Next Article Long-time solvability for the 2D dispersive SQG equation with improved regularity

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: January 2019

Revised: June 2019

Published online: March 2020

The second author is supported by NSFC (11971059).

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Abstract

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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