On the number of limit cycles of a quartic polynomial system

Min Li; Maoan Han

doi:10.3934/dcdss.2020337

Article Contents

2021, Volume 14, Issue 9: 3167-3181. Doi: 10.3934/dcdss.2020337

This issue Previous Article Uniform polynomial stability of second order integro-differential equations in Hilbert spaces with positive definite kernels Next Article Positive solutions of the discrete Robin problem with $ \phi $-Laplacian

On the number of limit cycles of a quartic polynomial system

Min Li^1, and
Maoan Han^1,2, ,

1.
Department of Mathematics, Shanghai Normal University, Shanghai, 200234, PR China
2.
Department of Mathematics, Zhejiang Normal University, Jinhua, Zhejiang, 321004, PR China

^* Corresponding author: Maoan Han
^* Corresponding author: Maoan Han

Received: March 2019

Revised: October 2019

Early access: April 2020

Published: September 2021

Supported by National Natural Science Foundation of China (11771296 and 11931016)

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Abstract

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 $.

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Mathematics Subject Classification: 37G15, 34C07.

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References

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