Limit Cycles for the Class of D‐Dimensional Polynomial Differential Systems

Zouhair Diab and Amar Makhlouf

Journal of Applied Mathematics, 2016, vol. 2016, issue 1

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.

Date: 2016
References: Add references at CitEc
Citations:

Downloads: (external link)
https://doi.org/10.1155/2016/1868027

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:wly:jnljam:v:2016:y:2016:i:1:n:1868027

Access Statistics for this article

More articles in Journal of Applied Mathematics from John Wiley & Sons
Bibliographic data for series maintained by Wiley Content Delivery ().