Existence of Limit Cycles for a Class of Quartic Polynomial Differential System Depending on Parameters. (27th July 2021)

• Record Type: Journal Article
• Authors: Abdullah Qadha, Sarah; Qadha, Muneera Abdullah; Chen, Haibo
• Other Names: Shah Firdous A. Academic Editor.
• Is Part Of: Journal of mathematics. Volume 2021(2021)
• Publication Date: 2021-07-27
• Subjects: Mathematics -- Periodicals; Mathematics; Periodicals; 510
• DOI: 10.1155/2021/2137138
• Languages: English
• ISSNs: 2314-4629

Abstract

Abstract : We studied the existence of limit cycles for the quartic polynomial differential systems depending on parameters. To prove that, first, we used the formal series method based on Poincare' ideas to determine the center-focus. Then, by the Hopf bifurcation theory, we obtained the sufficient condition for the existence of the limit cycles. Finally, we provided some numerical examples for illustration.