Closing Lemma for piecewise smooth vector fields with a recurrent point

被引：0
|
作者：
Antunes, A. A. [1 ]
Carvalho, T. [2 ]
Gomide, O. M. L. [3 ]
机构：
[1] UNESP, IBILCE, BR-15054000 Sao Jose Do Rio Preto, SP, Brazil
[2] FFCLRP USP, BR-14040901 Ribeirao Preto, SP, Brazil
[3] IME UFG, BR-74690900 Goiania, GO, Brazil
来源：
NONLINEAR ANALYSIS-HYBRID SYSTEMS | 2024年 / 53卷
基金：
巴西圣保罗研究基金会;
关键词：
Piecewise smooth vector field; Closing lemma; Recurrence;
D O I：
10.1016/j.nahs.2024.101495
中图分类号：
TP [自动化技术、计算机技术];
学科分类号：
0812 ;
摘要：
In this paper we provide a positive answer for the C 0 -Closing Lemma in the context of ndimensional 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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页数：9
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