Limit cycles in piecewise smooth perturbations of a quartic isochronous center
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Date
2019-09-18
Authors
Song, Haifeng
Peng, Linping
Cui, Yong
Journal Title
Journal ISSN
Volume Title
Publisher
Texas State University, Department of Mathematics
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.
Description
Keywords
Averaging method, Piecewise smooth perturbation, Limit cycle, Quartic isochronous center, ECT-system
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.
Rights
Attribution 4.0 International