Open AccessThe number of limit cycles from the perturbation of a quadratic isochronous system with two switching lines
Author(s) -
Ai Ke,
Maoan Han,
Wei Geng
Publication year - 2022
Publication title -
communications on pure and applied analysis
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.077
H-Index - 42
eISSN - 1553-5258
pISSN - 1534-0392
DOI - 10.3934/cpaa.2022047
Subject(s) - mathematics , piecewise , limit (mathematics) , quadratic equation , upper and lower bounds , combinatorics , perturbation (astronomy) , mathematical analysis , physics , geometry , quantum mechanics
In this paper, we give an upper bound (for \begin{document}$ n\geq3 $\end{document} ) and the least upper bound (for \begin{document}$ n = 1,2 $\end{document} ) of the number of limit cycles bifurcated from period annuli of a quadratic isochronous system under the piecewise polynomial perturbations of degree \begin{document}$ n $\end{document} , respectively. The results improve the conclusions in [ 19 ].