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Scholars Journal of Physics, Mathematics and Statistics | Volume-6 | Issue-08
The Number of Limit Cycles for a Class of Quintic Polynomial Systems
Li Wei, Weigang Liu
Published: Aug. 30, 2019 | 147 80
DOI: 10.21276/sjpms.2019.6.8.3
Pages: 145-150
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Abstract
This paper mainly uses the classical method of qualitative theory of ordinary differential equations to qualitatively analyze a class of planar fifth-order polynomial systems. The successor function method is used to analyze the system's fine focus. The center of the system is judged by the principle of symmetry. The Hopf branch theory is used to analyze the existence of the limit cycle under different parameters.