Fifteen Limit Cycles Bifurcating from a Perturbed Cubic Center

Amor Menaceur, Mufda Alrawashdeh, Sahar Ahmed Idris, Hala Abd-Elmageed and Sundarapandian Vaidyanathan

Discrete Dynamics in Nature and Society, 2021, vol. 2021, 1-9

Abstract: 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.

Date: 2021
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnddns:8178729

DOI: 10.1155/2021/8178729

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