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On the number of limit cycles of a quartic polynomial system

  • * Corresponding author: Maoan Han

    * Corresponding author: Maoan Han
Supported by National Natural Science Foundation of China (11771296 and 11931016)
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  • In this paper, we consider a quartic polynomial differential system with multiple parameters, and obtain the existence and number of limit cycles with the help of the Melnikov function under perturbation of polynomials of degree $ n = 4 $.

    Mathematics Subject Classification: 37G15, 34C07.


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    [9] J. M. YangP. Yu and M. A. Han, Limit cycle bifurcations near a double homoclinic loop with a nilpotent saddle of order $m$, Journal of Differential Equations, 266 (2019), 455-492.  doi: 10.1016/j.jde.2018.07.042.
    [10] P. YuM. Han and Y. Bai, Dynamiocs and bifurcation study on an extended Lorenz system, Journal of Nonlinear Modeling and Analysis, 1 (2019), 107-128. 
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