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Journal of Applied Mathematics
Volume 2016, Article ID 1868027, 5 pages
Research Article

Limit Cycles for the Class of -Dimensional Polynomial Differential Systems

1Department of Mathematics, University of Tébessa, 12002 Tébessa, Algeria
2Department of Mathematics, Faculty of Sciences, UBM of Annaba, El Hadjar, 23000 Annaba, Algeria

Received 8 November 2015; Revised 5 January 2016; Accepted 15 February 2016

Academic Editor: Hui-Shen Shen

Copyright © 2016 Zouhair Diab and Amar Makhlouf. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.


We perturb the differential system , , and for inside the class of all polynomial differential systems of degree in , and we prove that at most limit cycles can be obtained for the perturbed system using the first-order averaging theory.