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Invariant Curves of Almost Periodic Twist Mappings

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Abstract

In this paper we are concerned with the existence of invariant curves of planar twist mappings which are almost periodic in a spatial variable. As an application of this result to differential equations we will prove the existence of almost periodic solutions and the boundedness of all solutions for superlinear Duffing’s equation with an almost periodic external force.

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Authors and Affiliations

  1. School of Mathematics and Statistics, Guizhou University of Finance and Economics, Guiyang, 550025, People’s Republic of China

    Peng Huang

  2. School of Mathematics Sciences, Beijing Normal University, Beijing, 100875, People’s Republic of China

    Xiong Li

  3. School of Mathematical Sciences, Peking University, Beijing, 100871, People’s Republic of China

    Bin Liu

Authors
  1. Peng Huang
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  2. Xiong Li
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  3. Bin Liu
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Correspondence to Xiong Li.

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Peng Huang: Partially supported by the NSFC (11901131), Guizhou Provincial Science and Technology Foundation ([2020]1Y006) and the innovative exploration and academic seedling project of Guizhou University of Finance and Economics (No. 2020XSXMA06).

Xiong Li: Partially supported by the NSFC (11971059).

Bin Liu: Partially supported by the NSFC (11831001)

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Huang, P., Li, X. & Liu, B. Invariant Curves of Almost Periodic Twist Mappings. J Dyn Diff Equat 34, 1997–2033 (2022). https://doi.org/10.1007/s10884-021-10033-1

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  • DOI: https://doi.org/10.1007/s10884-021-10033-1

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