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

IF 1.7 4区数学 Q2 MATHEMATICS, APPLIED

SIAM Journal on Applied Dynamical Systems 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

SIAM Journal on Applied Dynamical Systems 物理-物理：数学物理

CiteScore

3.60

自引率

4.80%

发文量

审稿时长

6 months

期刊介绍： SIAM Journal on Applied Dynamical Systems (SIADS) publishes research articles on the mathematical analysis and modeling of dynamical systems and its application to the physical, engineering, life, and social sciences. SIADS is published in electronic format only.