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2016 Limit Cycles for the Class of D-Dimensional Polynomial Differential Systems
Zouhair Diab, Amar Makhlouf
J. Appl. Math. 2016: 1-5 (2016). DOI: 10.1155/2016/1868027

Abstract

We perturb the differential system x˙1=-x2(1+x1), x˙2=x1(1+x1), and x˙k=0 for k=3,,d inside the class of all polynomial differential systems of degree n in Rd, and we prove that at most nd-1 limit cycles can be obtained for the perturbed system using the first-order averaging theory.

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Zouhair Diab. Amar Makhlouf. "Limit Cycles for the Class of D-Dimensional Polynomial Differential Systems." J. Appl. Math. 2016 1 - 5, 2016. https://doi.org/10.1155/2016/1868027

Information

Received: 8 November 2015; Revised: 5 January 2016; Accepted: 15 February 2016; Published: 2016
First available in Project Euclid: 13 April 2016

zbMATH: 07037268
MathSciNet: MR3476162
Digital Object Identifier: 10.1155/2016/1868027

Rights: Copyright © 2016 Hindawi

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