Limit cycles bifurcating from piecewise quadratic systems separated by a straight line. (July 2020)

• Record Type: Journal Article
• Authors: Peng, Linping; Gao, Yunfei; Feng, Zhaosheng
• Is Part Of: Nonlinear analysis. Volume 196(2020)
• Publication Date: 2020-07
• Subjects: 37G15 -- 34C07 -- 34C05; Argument principle -- Averaging method -- Piecewise smooth system -- Bifurcation of limit cycles -- Period annulus; Mathematical analysis -- Periodicals; Functional analysis -- Periodicals; Nonlinear theories -- Periodicals; Analyse mathématique -- Périodiques; Analyse fonctionnelle -- Périodiques; Théories non linéaires -- Périodiques; Functional analysis; Mathematical analysis; Nonlinear theories; Periodicals; Electronic journals; 515.7248
• DOI: 10.1016/j.na.2020.111802
• Languages: English
• ISSNs: 0362-546X

Abstract

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.