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
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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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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