有重复点的片断平稳矢量场的闭合定理

IF 3.7 2区计算机科学 Q2 AUTOMATION & CONTROL SYSTEMS

Nonlinear Analysis-Hybrid Systems Pub Date : 2024-04-09 DOI:10.1016/j.nahs.2024.101495

A.A. Antunes , T. Carvalho , O.M.L. Gomide

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引用次数: 0

摘要

在本文中，我们针对受菲利波夫规则支配的 n 维片断光滑向量场，给出了 C0 闭合定理的正面答案。因此，给定一个模型，呈现出一个非绝对重复点，就有可能考虑对其进行 C0 闭合扰动，使其拥有一个闭合轨迹。最后，我们还证明了围绕 T 星点的闭合轨道的存在。

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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Closing Lemma for piecewise smooth vector fields with a recurrent point

In this paper we provide a positive answer for the C $^{0}$ -Closing Lemma in the context of $n$ -dimensional piecewise smooth vector fields governed by the Filippov’s rules. So, given a model presenting a nontrivially recurrent point it is possible to consider a C $^{0}$ -close perturbation of it possessing a closed trajectory. Also, we conclude the paper proving the existence of a closed orbit around a T-singularity.

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来源期刊

Nonlinear Analysis-Hybrid Systems AUTOMATION & CONTROL SYSTEMS-MATHEMATICS, APPLIED

CiteScore

8.30

自引率

9.50%

发文量

审稿时长

>12 weeks

期刊介绍： Nonlinear Analysis: Hybrid Systems welcomes all important research and expository papers in any discipline. Papers that are principally concerned with the theory of hybrid systems should contain significant results indicating relevant applications. Papers that emphasize applications should consist of important real world models and illuminating techniques. Papers that interrelate various aspects of hybrid systems will be most welcome.