Periodic and Quasiperiodic Solutions of a Forced Discontinuous Oscillator

IF 16.4 1区化学 Q1 CHEMISTRY, MULTIDISCIPLINARY

Accounts of Chemical Research Pub Date : 2024-08-19 DOI:10.1007/s12346-024-01094-w

Denghui Li, Xiaoming Zhang, Biliu Zhou

引用次数: 0

Abstract

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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强迫非连续振荡器的周期和准周期解法

在本文中，我们考虑了一个具有不连续恢复力的受迫振荡器。通过奥布里-马瑟理论，我们证明存在无限多的周期和准周期解。该证明依赖于对系统生成函数的分析。这种方法适用于研究更一般的哈密顿型受迫非光滑振荡器的动力学。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

Accounts of Chemical Research 化学-化学综合

CiteScore

31.40

自引率

1.10%

发文量

312

审稿时长

2 months

期刊介绍： Accounts of Chemical Research presents short, concise and critical articles offering easy-to-read overviews of basic research and applications in all areas of chemistry and biochemistry. These short reviews focus on research from the author’s own laboratory and are designed to teach the reader about a research project. In addition, Accounts of Chemical Research publishes commentaries that give an informed opinion on a current research problem. Special Issues online are devoted to a single topic of unusual activity and significance. Accounts of Chemical Research replaces the traditional article abstract with an article "Conspectus." These entries synopsize the research affording the reader a closer look at the content and significance of an article. Through this provision of a more detailed description of the article contents, the Conspectus enhances the article's discoverability by search engines and the exposure for the research.