Limit cycles bifurcating from piecewise quadratic systems separated by a straight line

Linping Peng; Yunfei Gao; Zhaosheng Feng

doi:10.1016/j.na.2020.111802

Limit cycles bifurcating from piecewise quadratic systems separated by a straight line

Linping Peng
, Yunfei Gao
, Zhaosheng Feng^*

^*此作品的通讯作者

数学科学学院

Beihang University
University of Texas Rio Grande Valley

科研成果: 期刊稿件 › 文章 › 同行评审

9 引用（Scopus）

摘要

In this paper, we are concerned with limit cycles bifurcating from piecewise quadratic systems separated by a straight line. By means of the first-order averaging theory of discontinuous differential systems and the Argument Principle, we present an estimate of the maximum number of limit cycles bifurcating from the period annulus around the center of piecewise smooth systems.

源语言	英语
文章编号	111802
期刊	Nonlinear Analysis, Theory, Methods and Applications
卷	196
DOI	https://doi.org/10.1016/j.na.2020.111802
出版状态	已出版 - 7月 2020

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10.1016/j.na.2020.111802

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title = "Limit cycles bifurcating from piecewise quadratic systems separated by a straight line",

abstract = "In this paper, we are concerned with limit cycles bifurcating from piecewise quadratic systems separated by a straight line. By means of the first-order averaging theory of discontinuous differential systems and the Argument Principle, we present an estimate of the maximum number of limit cycles bifurcating from the period annulus around the center of piecewise smooth systems.",

keywords = "Argument principle, Averaging method, Bifurcation of limit cycles, Period annulus, Piecewise smooth system",

author = "Linping Peng and Yunfei Gao and Zhaosheng Feng",

note = "Publisher Copyright: {\textcopyright} 2020 Elsevier Ltd",

year = "2020",

month = jul,

doi = "10.1016/j.na.2020.111802",

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AU - Peng, Linping

AU - Gao, Yunfei

AU - Feng, Zhaosheng

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Y1 - 2020/7

N2 - In this paper, we are concerned with limit cycles bifurcating from piecewise quadratic systems separated by a straight line. By means of the first-order averaging theory of discontinuous differential systems and the Argument Principle, we present an estimate of the maximum number of limit cycles bifurcating from the period annulus around the center of piecewise smooth systems.

AB - In this paper, we are concerned with limit cycles bifurcating from piecewise quadratic systems separated by a straight line. By means of the first-order averaging theory of discontinuous differential systems and the Argument Principle, we present an estimate of the maximum number of limit cycles bifurcating from the period annulus around the center of piecewise smooth systems.

KW - Argument principle

KW - Averaging method

KW - Bifurcation of limit cycles

KW - Period annulus

KW - Piecewise smooth system

UR - https://www.scopus.com/pages/publications/85079276777

U2 - 10.1016/j.na.2020.111802

DO - 10.1016/j.na.2020.111802

M3 - 文章

AN - SCOPUS:85079276777

SN - 0362-546X

VL - 196

JO - Nonlinear Analysis, Theory, Methods and Applications

JF - Nonlinear Analysis, Theory, Methods and Applications

M1 - 111802

ER -

Limit cycles bifurcating from piecewise quadratic systems separated by a straight line

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