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Limit Cycles of a Class of Polynomial Differential Systems Bifurcating from the Periodic Orbits of a Linear Center
Journal article   Open access  Peer reviewed

Limit Cycles of a Class of Polynomial Differential Systems Bifurcating from the Periodic Orbits of a Linear Center

Amor Menaceur, Salah Boulaaras, Salem Alkhalaf and Shilpi Jain
Symmetry (Basel), Vol.12(8), pp.1-15
01/08/2020
DOI: https://doi.org/10.3390/sym12081346

Abstract

Multidisciplinary Sciences Science & Technology Science & Technology - Other Topics
In this paper, we study the number of limit cycles of a new class of polynomial differential systems, which is an extended work of two families of differential systems in systems considered earlier. We obtain the maximum number of limit cycles that bifurcate from the periodic orbits of a center using the averaging theory of first and second order.
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https://doi.org/10.3390/sym12081346View
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