Periodic bouncing solutions for sublinear impact oscillator

Periodic bouncing solutions for sublinear impact oscillator

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.

Bibliographic Details
Main Authors: Yinyin Wu, Dingbian Qian, Shuang Wang
Format: Article
Language:English
Published: AIMS Press 2021-05-01
Series:AIMS Mathematics
Subjects:
impact oscillator
sublinear
periodic solution
successor map
poincaré-birkhoff twist theorem
Online Access:https://www.aimspress.com/article/doi/10.3934/math.2021420?viewType=HTML

Internet

https://www.aimspress.com/article/doi/10.3934/math.2021420?viewType=HTML

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