Limit Cycles for the Class of D-Dimensional Polynomial Differential Systems
Joint Authors
Source
Journal of Applied Mathematics
Issue
Vol. 2016, Issue 2016 (31 Dec. 2016), pp.1-5, 5 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2016-03-07
Country of Publication
Egypt
No. of Pages
5
Main Subjects
Abstract EN
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.
American Psychological Association (APA)
Diab, Zouhair& Makhlouf, Amar. 2016. Limit Cycles for the Class of D-Dimensional Polynomial Differential Systems. Journal of Applied Mathematics،Vol. 2016, no. 2016, pp.1-5.
https://search.emarefa.net/detail/BIM-1107190
Modern Language Association (MLA)
Diab, Zouhair& Makhlouf, Amar. Limit Cycles for the Class of D-Dimensional Polynomial Differential Systems. Journal of Applied Mathematics No. 2016 (2016), pp.1-5.
https://search.emarefa.net/detail/BIM-1107190
American Medical Association (AMA)
Diab, Zouhair& Makhlouf, Amar. Limit Cycles for the Class of D-Dimensional Polynomial Differential Systems. Journal of Applied Mathematics. 2016. Vol. 2016, no. 2016, pp.1-5.
https://search.emarefa.net/detail/BIM-1107190
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1107190