On the existence of periodic solutions for damped asymmetric oscillators

IF 1.3 2区数学 Q1 MATHEMATICS

Nonlinear Analysis-Theory Methods & Applications Pub Date : 2025-09-20 DOI:10.1016/j.na.2025.113946

Alessandro Fonda , Giuliano Klun , Andrea Sfecci

引用次数: 0

Abstract

We propose some new sufficient conditions for the existence of periodic solutions of an asymmetric oscillator with a positive damping term. Our results are complemented by an example where, in some situations, no periodic solutions may exist. This fact is well known in the undamped case, when the resonance phenomenon may appear. However, the damped case presents some unintuitive features which have not been so thoroughly studied in the literature, and the overall picture still has several aspects which need to be better understood.

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非对称阻尼振子周期解的存在性

给出了具有正阻尼项的非对称振子周期解存在的几个新的充分条件。我们的结果得到了一个例子的补充，在某些情况下，周期解可能不存在。这一事实在无阻尼情况下是众所周知的，当共振现象可能出现时。然而，阻尼情况表现出一些不直观的特征，这些特征在文献中尚未得到如此深入的研究，总体情况仍有几个方面需要更好地理解。

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

Nonlinear Analysis-Theory Methods & Applications 数学-数学

CiteScore

3.30

自引率

0.00%

发文量

265

审稿时长

60 days

期刊介绍： Nonlinear Analysis focuses on papers that address significant problems in Nonlinear Analysis that have a sustainable and important impact on the development of new directions in the theory as well as potential applications. Review articles on important topics in Nonlinear Analysis are welcome as well. In particular, only papers within the areas of specialization of the Editorial Board Members will be considered. Authors are encouraged to check the areas of expertise of the Editorial Board in order to decide whether or not their papers are appropriate for this journal. The journal aims to apply very high standards in accepting papers for publication.