Bibliographic Details
| Title: |
Limit cycles in piecewise smooth perturbations of a class of cubic differential systems |
| Authors: |
Dan Sun, Yunfei Gao, Linping Peng, Li Fu |
| Source: |
Electronic Journal of Qualitative Theory of Differential Equations, Vol 2023, Iss 49, Pp 1-26 (2023) |
| Publisher Information: |
University of Szeged, 2023. |
| Publication Year: |
2023 |
| Collection: |
LCC:Mathematics |
| Subject Terms: |
bifurcation of limit cycles, piecewise smooth perturbation, cubic differential systems, averaging theory, complex method, Mathematics, QA1-939 |
| More Details: |
In this paper, we study the bifurcation of limit cycles from a class of cubic integrable non-Hamiltonian systems under arbitrarily small piecewise smooth perturbations of degree $n$. By using the averaging theory and complex method, the lower and upper bounds for the maximum number of limit cycles bifurcating from the period annulus of the unperturbed systems are given at first order in $\varepsilon$. It is also shown that in this case, the maximum number of limit cycles produced by piecewise smooth perturbations is almost twice the upper bound of the maximum number of limit cycles produced by smooth perturbations for the considered systems. |
| Document Type: |
article |
| File Description: |
electronic resource |
| Language: |
English |
| ISSN: |
1417-3875 |
| Relation: |
http://www.math.u-szeged.hu/ejqtde/periodica.html?periodica=1¶mtipus_ertek=publication¶m_ertek=10294; https://doaj.org/toc/1417-3875 |
| DOI: |
10.14232/ejqtde.2023.1.49 |
| Access URL: |
https://doaj.org/article/4514863449ce4fdf874909c4ae227b8a |
| Accession Number: |
edsdoj.4514863449ce4fdf874909c4ae227b8a |
| Database: |
Directory of Open Access Journals |
