Fifteen Limit Cycles Bifurcating from a Perturbed Cubic Center

Discrete dynamics in nature and society

Sahar Ahmed Idris¹  Mufda Alrawashdeh²  Hala Abd-Elmageed³  Amor Menaceur⁴ 

[1]College of Industrial Engineering, King Khalid University, Abha, Saudi Arabia, kku.edu.sa

[2]Department of Mathematics, College of Sciences, Juba University, Juba, Sudan

[3]Department of Mathematics, College of Sciences and Arts, ArRas, Qassim University, Buraydah, Saudi Arabia, qu.edu.sa

[4]Department of Mathematics, Faculty of Science, SVU, Qena 83523, Egypt, svu.edu.eg

[5]Laboratory of Analysis and Control of Differential Equations ACED, Department of Mathematics, University of Guelma, P.O. Box 401, Guelma 24000, Algeria

DOI  :  10.1155/2021/8178729

来源: Hindawi Publishing Corporation

【 摘 要 】

In this work, we study the bifurcation of limit cycles from the period annulus surrounding the origin of a class of cubic polynomial differential systems; when they are perturbed inside the class of all polynomial differential systems of degree six, we obtain at most fifteenth limit cycles by using the averaging theory of first order.

【 授权许可】

Unknown