Bifurcation of Piecewise Smooth Manifolds from 3D Center-Type Vector Fields

被引：1
|
作者：
Buzzi, Claudio A. [1 ]
Euzebio, Rodrigo D. [2 ]
Mereu, Ana C. [3 ]
机构：
[1] UNESP IBILCE, Dept Matemat, Rua Cristovao Colombo 2265, BR-15054000 Sao Jose Do Rio Preto, SP, Brazil
[2] IME UFG, Dept Matemat, R Jacaranda,Campus Samambaia, BR-74001970 Goiania, Go, Brazil
[3] Univ Fed Sao Carlos, Dept Fis Quim & Matemat, BR-18052780 Sorocaba, SP, Brazil
来源：
QUALITATIVE THEORY OF DYNAMICAL SYSTEMS | 2023年 / 22卷 / 04期
基金：
巴西圣保罗研究基金会;
关键词：
Invariant manifolds; Piecewise smooth differential systems; Periodic orbits; Averaging theory; LIMIT-CYCLES;
D O I：
10.1007/s12346-023-00853-5
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
The main goal of this paper is to study the existence of two dimensional piecewise smooth invariant manifolds under small piecewise smooth perturbations from 3D center-type vector fields. The obtained piecewise smooth manifolds, filled up by periodic orbits, are rotations of some planar algebraic curves.
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页数：15
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