Periodic and Quasiperiodic Solutions of a Forced Discontinuous Oscillator

被引：0
|
作者：
Li, Denghui [1 ,3 ]
Zhang, Xiaoming [2 ]
Zhou, Biliu [1 ]
机构：
[1] Changshu Inst Technol, Sch Math & Stat, Changshu 215500, Jiangsu, Peoples R China
[2] Nanjing Univ Aeronaut & Astronaut, Coll Aerosp Engn, Nanjing 210016, Jiangsu, Peoples R China
[3] Hexi Univ, Sch Math, Zhangye 734000, Gansu, Peoples R China
来源：
QUALITATIVE THEORY OF DYNAMICAL SYSTEMS | 2024年 / 23卷 / SUPPL 1期
基金：
中国国家自然科学基金;
关键词：
Discontinuous oscillator; Twist map; Generating function; Aubry-Mather set; TWIST MAPPINGS; MOTIONS;
D O I：
10.1007/s12346-024-01094-w
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper we consider a forced oscillator with a discontinuous restoring force. By the Aubry-Mather theory we prove that there exist infinitely many periodic and quasiperiodic solutions. The proof relies on analysing the generating function of the system. The approach is applicable to studying the dynamics of more general forced nonsmooth oscillators of Hamiltonian type.
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页数：15
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