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AIMS Mathematics

2021, Volume 6, Issue 7: 7170-7186. doi: 10.3934/math.2021420
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Research article

Periodic bouncing solutions for sublinear impact oscillator

  • 1.
    Department of Fondamental Courses, Wuxi Institute of Technology, Wuxi 214121, China
  • 2.
    School of Mathematical Sciences, Soochow University, Suzhou 215006, China
  • 3.
    School of Mathematics and Statistics, Yancheng Teachers University, Yancheng 224051, China
  • Received: 17 February 2021 Accepted: 25 April 2021 Published: 28 April 2021

  • MSC : 34C15, 34C25, 37E40

  • The existence of periodic bouncing solutions for sublinear impact oscillator is proved by using Poincaré-Birkhoff twist theorem. The approach of this paper is based on a well defined successor map and the phase-plane analysis of the spiral properties.

    Citation: Yinyin Wu, Dingbian Qian, Shuang Wang. Periodic bouncing solutions for sublinear impact oscillator[J]. AIMS Mathematics, 2021, 6(7): 7170-7186. doi: 10.3934/math.2021420

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  • The existence of periodic bouncing solutions for sublinear impact oscillator is proved by using Poincaré-Birkhoff twist theorem. The approach of this paper is based on a well defined successor map and the phase-plane analysis of the spiral properties.




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