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^*

^*Corresponding author for this work

School of Mathematical Sciences

Beihang University
University of Texas Rio Grande Valley

Research output: Contribution to journal › Article › peer-review

9 Scopus citations

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.

Original language	English
Article number	111802
Journal	Nonlinear Analysis, Theory, Methods and Applications
Volume	196
DOIs	https://doi.org/10.1016/j.na.2020.111802
State	Published - Jul 2020

Keywords

Argument principle
Averaging method
Bifurcation of limit cycles
Period annulus
Piecewise smooth system

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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",

language = "英语",

volume = "196",

journal = "Nonlinear Analysis, Theory, Methods and Applications",

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T1 - Limit cycles bifurcating from piecewise quadratic systems separated by a straight line

AU - Peng, Linping

AU - Gao, Yunfei

AU - Feng, Zhaosheng

PY - 2020/7

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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Keywords

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