The 1 :-1 : 1 resonance integrable problem for a cubic lotka-volterra systems
Joint Authors
Sabir, Hersh Muhammad
Aziz, Walid H.
Source
ZANCO Journal of Pure and Applied Sciences
Issue
Vol. 31, Issue 4 (31 Aug. 2019), pp.103-113, 11 p.
Publisher
Salahaddin University-Erbil Department of Scientific Publications
Publication Date
2019-08-31
Country of Publication
Iraq
No. of Pages
11
Main Subjects
Abstract EN
This paper is devoted to investigate the integrability and linearizability problems around a singular point at the origin of a cubic three-dimensional Lotka-Volterra differential system with -resonance.
A complete set of necessary conditions for both integrability and linearizability are given.
For sufficiency part, we show that the system has two analytic first integrals at the origin.
In particular, we use Darboux method of integrability, linearizable node and transformation technique to show that the system admits two independent first integrals.
American Psychological Association (APA)
Sabir, Hersh Muhammad& Aziz, Walid H.. 2019. The 1 :-1 : 1 resonance integrable problem for a cubic lotka-volterra systems. ZANCO Journal of Pure and Applied Sciences،Vol. 31, no. 4, pp.103-113.
https://search.emarefa.net/detail/BIM-947628
Modern Language Association (MLA)
Sabir, Hersh Muhammad& Aziz, Walid H.. The 1 :-1 : 1 resonance integrable problem for a cubic lotka-volterra systems. ZANCO Journal of Pure and Applied Sciences Vol. 31, no. 4 (2019), pp.103-113.
https://search.emarefa.net/detail/BIM-947628
American Medical Association (AMA)
Sabir, Hersh Muhammad& Aziz, Walid H.. The 1 :-1 : 1 resonance integrable problem for a cubic lotka-volterra systems. ZANCO Journal of Pure and Applied Sciences. 2019. Vol. 31, no. 4, pp.103-113.
https://search.emarefa.net/detail/BIM-947628
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references : p. 112-113
Record ID
BIM-947628