American Institute of Mathematical Sciences

January  2018, 38(1): 131-154. doi: 10.3934/dcds.2018006

Invariant curves of smooth quasi-periodic mappings

 1 School of Mathematics Sciences, Beijing Normal University, Beijing, 100875, China 2 School of Mathematical Sciences, Peking University, Beijing, 100871, China

* Corresponding author

Received  September 2016 Revised  August 2017 Published  September 2017

Fund Project: The second author is supported by the NSFC (11571041) and the Fundamental Research Funds for the Central Universities. The third author is supported by the NSFC (11231001).

In this paper we are concerned with the existence of invariant curves of planar mappings which are quasi-periodic in the spatial variable, satisfy the intersection property, $\mathcal{C}^{p}$ smooth with $p>2n+1$, $n$ is the number of frequencies.

Citation: Peng Huang, Xiong Li, Bin Liu. Invariant curves of smooth quasi-periodic mappings. Discrete & Continuous Dynamical Systems, 2018, 38 (1) : 131-154. doi: 10.3934/dcds.2018006
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