Bifurcation of limit cycles at infinity in piecewise polynomial systems. (June 2018)

• Record Type: Journal Article
• Authors: Chen, Ting; Huang, Lihong; Yu, Pei; Huang, Wentao
• Is Part Of: Nonlinear analysis. Volume 41(2018)
• Page Start: 82
• Page End: 106
• Publication Date: 2018-06
• Subjects: Piecewise polynomial system -- Lyapunov constant -- Center -- Limit cycle; Nonlinear functional analysis -- Periodicals; Analyse fonctionnelle non linéaire -- Périodiques; Nonlinear functional analysis; Periodicals; 515.7248
• DOI: 10.1016/j.nonrwa.2017.10.003
• Languages: English
• ISSNs: 1468-1218

Abstract

Abstract: In this paper, we study bifurcation of limit cycles from the equator of piecewise polynomial systems with no singular points at infinity. We develop a method for computing the Lyapunov constants at infinity of piecewise polynomial systems. In particular, we consider cubic piecewise polynomial systems and study limit cycle bifurcations in the neighborhood of the origin and infinity. Moreover, an example is presented to show 11 limit cycles bifurcating from infinity.