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• W2802318216 abstract "In this paper, limit cycles bifurcating from a third-order nilpotent critical point in a class of quartic planar systems are studied. With the aid of computer algebra system MAPLE, the first 12 Lyapunov constants are deduced by the normal form method. As a result, sufficient and necessary center conditions are derived, and the fact that there exist 12 or 13 limit cycles bifurcating from the nilpotent critical point is proved by different perturbations. The result in [Qiu et al. in Adv. Differ. Equ. 2015(1):1, 2015] is improved." @default.
• W2802318216 created "2018-05-17" @default.
• W2802318216 creator A5005400963 @default.
• W2802318216 date "2018-04-27" @default.
• W2802318216 modified "2023-09-25" @default.
• W2802318216 title "Limit cycles in a quartic system with a third-order nilpotent singular point" @default.
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• W2802318216 doi "https://doi.org/10.1186/s13662-018-1607-x" @default.
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