Open AccessThe study on cyclicity of a class of cubic systems
Author(s) -
Yuanyuan Chen,
Yu Jiang
Publication year - 2022
Publication title -
discrete and continuous dynamical systems. series b
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.864
H-Index - 53
eISSN - 1553-524X
pISSN - 1531-3492
DOI - 10.3934/dcdsb.2021314
Subject(s) - mathematics , combinatorics , abelian group , equivariant map , arithmetic , pure mathematics
In this paper, we consider a class of cubic systems with polynomial perturbation of the degree at most \begin{document}$ n $\end{document} , and estimate the upper bound of the number of isolated zeros of its Abelian integral. Furthermore, we obtain the distributions of limit cycles bifurcated from a \begin{document}$ Z_4 $\end{document} -equivariant system with \begin{document}$ 5 $\end{document} centers.