The number of limit cycles from the perturbation of a quadratic isochronous system with two switching lines | Zendy

Ai Ke | Zendy; Maoan Han | Zendy; Wei Geng | Zendy

AI Assistant Blog Pricing

Home ZAIA Blog

Open Access

The 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 andamp 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 ].

The content you want is available to Zendy users.

Already have an account? Click here to sign in.

Having issues? You can contact us here

Accelerating Research