Bifurcation of solution in singularly perturbed ODEs by using Lyapunov Schmidt reduction
Joint Authors
Kamil, Ahmad Hamid
Yasir, K. H.
Source
Issue
Vol. 6, Issue 4 (30 Jun. 2018), pp.145-152, 8 p.
Publisher
University of Thi-Qar College of Science
Publication Date
2018-06-30
Country of Publication
Iraq
No. of Pages
8
Main Subjects
Abstract EN
This paper aims to study the bifurcation of solution in singularly perturbed ODEs: the hypothesis the bifurcation of solution in the ODE system will be studied by effect of the system by using Lyapunov Schmidt reduction.
Is the study of behaviour of solution of singularly perturbed ODEs when perturbation parameter 0 < ϵ≪ 1.
The bifurcation of solution in this kind of ordinary differential equation was studied in n-dimensional.
Sufficient conditions for the system to undergoes (fold,transcritical and pitchfork) bifurcation are given.
The ODE will be reduced to an equivalent system by using Lyapunov Schmidt reduction method.
Moreover, for this purpose of obtaining curve of the system (Fast-Slow system).
American Psychological Association (APA)
Kamil, Ahmad Hamid& Yasir, K. H.. 2018. Bifurcation of solution in singularly perturbed ODEs by using Lyapunov Schmidt reduction. Journal of Thi-Qar Science،Vol. 6, no. 4, pp.145-152.
https://search.emarefa.net/detail/BIM-901547
Modern Language Association (MLA)
Kamil, Ahmad Hamid& Yasir, K. H.. Bifurcation of solution in singularly perturbed ODEs by using Lyapunov Schmidt reduction. Journal of Thi-Qar Science Vol. 6, no. 4 (Jun. 2018), pp.145-152.
https://search.emarefa.net/detail/BIM-901547
American Medical Association (AMA)
Kamil, Ahmad Hamid& Yasir, K. H.. Bifurcation of solution in singularly perturbed ODEs by using Lyapunov Schmidt reduction. Journal of Thi-Qar Science. 2018. Vol. 6, no. 4, pp.145-152.
https://search.emarefa.net/detail/BIM-901547
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references : p. 151-152
Record ID
BIM-901547