Bifurcation of limit cycles at infinity in piecewise polynomial systems

• Published in: Nonlinear analysis: real world applications Vol. 41; pp. 82 - 106
• Main Authors: Chen, Ting, Huang, Lihong, Yu, Pei, Huang, Wentao
• Format: Journal Article
• Language: English
• Published: Amsterdam Elsevier Ltd 01.06.2018; Elsevier BV
• Subjects: Bifurcations; Center; Hilbert space; Infinity; Limit cycle; Lyapunov constant; Mathematical problems; Piecewise polynomial system; Polynomials; Center; Lyapunov constant; Limit cycle; Piecewise polynomial system

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 system...