Sliding Cycles of Regularized Piecewise Linear Visible–Invisible Twofolds

IF 16.4 1区化学 Q1 CHEMISTRY, MULTIDISCIPLINARY

Accounts of Chemical Research Pub Date : 2024-08-16 DOI:10.1007/s12346-024-01111-y

Renato Huzak, Kristian Uldall Kristiansen

引用次数: 0

Abstract

The goal of this paper is to study the number of sliding limit cycles of regularized piecewise linear visible–invisible twofolds using the notion of slow divergence integral. We focus on limit cycles produced by canard cycles located in the half-plane with an invisible fold point. We prove that the integral has at most 1 zero counting multiplicity (when it is not identically zero). This will imply that the canard cycles can produce at most 2 limit cycles. Moreover, we detect regions in the parameter space with 2 limit cycles.

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正则化片断线性可见-不可见二折线的滑动循环

本文的目的是利用慢发散积分的概念，研究正则化片断线性可见-不可见二折的滑动极限循环次数。我们的研究重点是位于半平面上有一个不可见折点的卡纳德循环所产生的极限循环。我们证明，该积分最多有 1 个零计数多重性（当它不等同于零时）。这意味着卡纳德循环最多能产生 2 个极限循环。此外，我们还能探测到参数空间中存在 2 个极限循环的区域。

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.