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

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spelling	doaj-e065b7964a494d258d6090f620a7b8232021-05-07T02:31:06ZengAIMS PressAIMS Mathematics2473-69882021-05-01677170718610.3934/math.2021420Periodic bouncing solutions for sublinear impact oscillatorYinyin Wu0Dingbian Qian1Shuang Wang 21. Department of Fondamental Courses, Wuxi Institute of Technology, Wuxi 214121, China2. School of Mathematical Sciences, Soochow University, Suzhou 215006, China3. School of Mathematics and Statistics, Yancheng Teachers University, Yancheng 224051, ChinaThe 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.https://www.aimspress.com/article/doi/10.3934/math.2021420?viewType=HTMLimpact oscillatorsublinearperiodic solutionsuccessor mappoincaré-birkhoff twist theorem
collection	DOAJ
language	English
format	Article
sources	DOAJ
author	Yinyin Wu Dingbian Qian Shuang Wang
spellingShingle	Yinyin Wu Dingbian Qian Shuang Wang Periodic bouncing solutions for sublinear impact oscillator AIMS Mathematics impact oscillator sublinear periodic solution successor map poincaré-birkhoff twist theorem
author_facet	Yinyin Wu Dingbian Qian Shuang Wang
author_sort	Yinyin Wu
title	Periodic bouncing solutions for sublinear impact oscillator
title_short	Periodic bouncing solutions for sublinear impact oscillator
title_full	Periodic bouncing solutions for sublinear impact oscillator
title_fullStr	Periodic bouncing solutions for sublinear impact oscillator
title_full_unstemmed	Periodic bouncing solutions for sublinear impact oscillator
title_sort	periodic bouncing solutions for sublinear impact oscillator
publisher	AIMS Press
series	AIMS Mathematics
issn	2473-6988
publishDate	2021-05-01
description	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.
topic	impact oscillator sublinear periodic solution successor map poincaré-birkhoff twist theorem
url	https://www.aimspress.com/article/doi/10.3934/math.2021420?viewType=HTML
work_keys_str_mv	AT yinyinwu periodicbouncingsolutionsforsublinearimpactoscillator AT dingbianqian periodicbouncingsolutionsforsublinearimpactoscillator AT shuangwang periodicbouncingsolutionsforsublinearimpactoscillator
_version_	1721456091084095488

Periodic bouncing solutions for sublinear impact oscillator

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