Limit cycles in piecewise smooth perturbations of a quartic isochronous center
| dc.contributor.author | Song, Haifeng | |
| dc.contributor.author | Peng, Linping | |
| dc.contributor.author | Cui, Yong | |
| dc.date.accessioned | 2021-12-03T18:33:23Z | |
| dc.date.available | 2021-12-03T18:33:23Z | |
| dc.date.issued | 2019-09-18 | |
| dc.description.abstract | This article concerns the bifurcation of limit cycles from a quartic integrable and non-Hamiltonian system. By using the first order averaging method and some mathematical technique on estimating the number of the zeros, we show that under a class of piecewise smooth quartic perturbations, seven is a lower and twelve an upper bound for the maximum number of limit cycles bifurcating from the unperturbed quartic isochronous center. | |
| dc.description.department | Mathematics | |
| dc.format | Text | |
| dc.format.extent | 23 pages | |
| dc.format.medium | 1 file (.pdf) | |
| dc.identifier.citation | Song, H., Peng, L., & Cui, Y. (2019). Limit cycles in piecewise smooth perturbations of a quartic isochronous center. <i>Electronic Journal of Differential Equations, 2019</i>(107), pp. 1-23. | |
| dc.identifier.issn | 1072-6691 | |
| dc.identifier.uri | https://hdl.handle.net/10877/15001 | |
| dc.language.iso | en | |
| dc.publisher | Texas State University, Department of Mathematics | |
| dc.rights | Attribution 4.0 International | |
| dc.rights.uri | https://creativecommons.org/licenses/by/4.0/ | |
| dc.source | Electronic Journal of Differential Equations, 2019, San Marcos, Texas: Texas State University and University of North Texas. | |
| dc.subject | Averaging method | |
| dc.subject | Piecewise smooth perturbation | |
| dc.subject | Limit cycle | |
| dc.subject | Quartic isochronous center | |
| dc.subject | ECT-system | |
| dc.title | Limit cycles in piecewise smooth perturbations of a quartic isochronous center | |
| dc.type | Article |