Centre bifurcations for a three dimensional system with quadratic terms
Joint Authors
Salih, Rizgar H.
Hassu, Muhammad S.
Ibrahim, Surma H.
Source
ZANCO Journal of Pure and Applied Sciences
Issue
Vol. 32, Issue 2 (30 Apr. 2020), pp.62-71, 10 p.
Publisher
Salahaddin University-Erbil Department of Scientific Publications
Publication Date
2020-04-30
Country of Publication
Iraq
No. of Pages
10
Main Subjects
Abstract EN
This article is devoted to study the bifurcated periodic orbits from centre for a differential equation of third order.
Sufficient conditions for the existence of a centre are obtained by using inverse Jacobi multiplier.
As a result, we found four sets of centre conditions on the centre manifold.
For a given centre, it is shown that three periodic orbits can be bifurcated from the origin under two sets of condition and four periodic orbits under the other sets of condition.
The cyclicityes are obtained by considering the linear parts of the corresponding Liapunov quantities of the perturbed system.
American Psychological Association (APA)
Salih, Rizgar H.& Hassu, Muhammad S.& Ibrahim, Surma H.. 2020. Centre bifurcations for a three dimensional system with quadratic terms. ZANCO Journal of Pure and Applied Sciences،Vol. 32, no. 2, pp.62-71.
https://search.emarefa.net/detail/BIM-1385892
Modern Language Association (MLA)
Salih, Rizgar H.…[et al.]. Centre bifurcations for a three dimensional system with quadratic terms. ZANCO Journal of Pure and Applied Sciences Vol. 32, no. 2 (2020), pp.62-71.
https://search.emarefa.net/detail/BIM-1385892
American Medical Association (AMA)
Salih, Rizgar H.& Hassu, Muhammad S.& Ibrahim, Surma H.. Centre bifurcations for a three dimensional system with quadratic terms. ZANCO Journal of Pure and Applied Sciences. 2020. Vol. 32, no. 2, pp.62-71.
https://search.emarefa.net/detail/BIM-1385892
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references : p. 71
Record ID
BIM-1385892
