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

Joint Authors

Makhlouf, Amar
Diab, Zouhair

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

Mathematics

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