Bifurcation of limit cycles at infinity in piecewise polynomial systems

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...

Full description

Saved in:
Bibliographic Details
Published inNonlinear analysis: real world applications Vol. 41; pp. 82 - 106
Main Authors Chen, Ting, Huang, Lihong, Yu, Pei, Huang, Wentao
Format Journal Article
LanguageEnglish
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
Online AccessGet full text

Cover

More Information
Summary: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.
Bibliography:ObjectType-Article-1
SourceType-Scholarly Journals-1
ObjectType-Feature-2
content type line 14
ISSN:1468-1218
1878-5719
DOI:10.1016/j.nonrwa.2017.10.003