Song, HaifengPeng, LinpingCui, Yong2021-12-032021-12-032019-09-18Song, 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. 1-23.1072-6691https://hdl.handle.net/10877/15001This 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.Text23 pages1 file (.pdf)enAttribution 4.0 InternationalAveraging methodPiecewise smooth perturbationLimit cycleQuartic isochronous centerECT-systemArticle