Existence of Limit Cycles for a Class of Quartic Polynomial Differential System Depending on Parameters | Zendy

Sarah Abdullah Qadha | Zendy; Muneera Abdullah Qadha | Zendy; Haibo Chen | Zendy

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Existence of Limit Cycles for a Class of Quartic Polynomial Differential System Depending on Parameters

Author(s) -

Sarah Abdullah Qadha,

Muneera Abdullah Qadha,

Haibo Chen

Publication year - 2021

Publication title -

journal of mathematics

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.252

H-Index - 13

eISSN - 2314-4785

pISSN - 2314-4629

DOI - 10.1155/2021/2137138

Subject(s) - mathematics , quartic function , limit (mathematics) , hopf bifurcation , limit cycle , polynomial , focus (optics) , bifurcation , class (philosophy) , mathematical analysis , differential (mechanical device) , differential equation , pure mathematics , nonlinear system , physics , quantum mechanics , artificial intelligence , computer science , optics , engineering , aerospace engineering

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.

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