Open AccessOn the number of limit cycles of a quartic polynomial system
Author(s) -
Min Li,
Maoan Han
Publication year - 2021
Publication title -
discrete and continuous dynamical systems. series s
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.481
H-Index - 34
eISSN - 1937-1632
pISSN - 1937-1179
DOI - 10.3934/dcdss.2020337
Subject(s) - quartic function , mathematics , limit (mathematics) , polynomial , combinatorics , function (biology) , discrete mathematics , pure mathematics , mathematical analysis , evolutionary biology , biology
In this paper, we consider a quartic polynomial differential system with multiple parameters, and obtain the existence and number of limit cycles with the help of the Melnikov function under perturbation of polynomials of degree \begin{document}$ n = 4 $\end{document} .