Haifeng Song, Linping Peng, Yong Cui
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.
Submitted April 9, 2019. Published September 18, 2019.
Math Subject Classifications: 37G15, 37D45, 34C07.
Key Words: Averaging method; piecewise smooth perturbation; limit cycle;
quartic isochronous center, ECT-system.
Show me the PDF file (366 KB), TEX file for this article.
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Haifeng Song School of Mathematics and System Sciences Beihang University LIMB of the Ministry of Education Beijing 100191, China email: haiwindsong@163.com |
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Linping Peng School of Mathematics and System Sciences Beihang University LIMB of the Ministry of Education Beijing 100191, China email: penglp@buaa.edu.cn |
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Yong Cui School of Automation Science and Electrical Engineering Beihang University Beijing 100191, China email: cuiyongsas@163.com |
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