Classification of Filippov Type 3 Singular Points in Planar Bimodal Piecewise Smooth Systems

IF 16.4 1区化学 Q1 CHEMISTRY, MULTIDISCIPLINARY

Accounts of Chemical Research Pub Date : 2024-08-20 DOI:10.1137/23m1622842

P. Glendinning, S. J. Hogan, M. E. Homer, M. R. Jeffrey, R. Szalai

引用次数: 0

Abstract

SIAM Journal on Applied Dynamical Systems, Volume 23, Issue 3, Page 2242-2261, September 2024.
Abstract.We classify Filippov’s type 3 singular points of planar bimodal piecewise smooth systems. These singular points consist of fold or cusp tangencies of the vector fields to both sides of a switching surface. For isolated analytic type 3 singular points there are 25 topological classes, up to time reversal. For isolated general type 3 singular points there are 40 topological classes, up to time reversal.

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平面双峰片状平滑系统中菲利波夫 3 型奇异点的分类

SIAM 应用动力系统期刊》，第 23 卷第 3 期，第 2242-2261 页，2024 年 9 月。摘要：我们对平面双峰片断平稳系统的菲利波夫 3 型奇异点进行了分类。这些奇点由矢量场到切换面两侧的折线或尖切线组成。对于孤立的解析型 3 奇点，有 25 个拓扑类别，直到时间反转。对于孤立的一般类型 3 奇点，有 40 个拓扑类，直到时间反转为止。

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.