The center problem on piecewise smooth differential systems with two zones

IF 16.4 1区化学 Q1 CHEMISTRY, MULTIDISCIPLINARY Accounts of Chemical Research Pub Date : 2023-01-01 DOI:10.3934/dcds.2023113

Changwu Zou, Guangfeng Dong, Changjian Liu, Jiazhong Yang

引用次数: 0

Abstract

In this paper we shall study $ \Sigma $-center problem on piecewise smooth systems with two zones divided by a straight line in the real plane. We first give some necessary and sufficient conditions for the crossing $ \Sigma $-center by taking advantage of the forms of the first integrals. Then for applications, we completely describe the $ \Sigma $-centers from both the algebra and geometry points of view when the both of two sub-systems are linear.

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两区域分段光滑微分系统的中心问题

本文研究了在实平面上由一条直线划分两个区域的分段光滑系统的$ \Sigma $中心问题。首先利用第一阶积分的形式，给出了$ \Sigma $中心交叉的充分必要条件。然后，对于应用，我们从代数和几何的角度完整地描述了两个子系统都是线性时的$ \Sigma $-中心。

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.

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