Bifurcation of Solution in Singularly Perturbed ODEs by Using Lyapunov Schmidt Reduction

Autor:	A. H.Kamil, K. H. Yasir
Jazyk:	angličtina
Rok vydání:	2019
Předmět:	ODEs Bifurcation Singularly perturbed ODEs Lyapunov Schmidt Re- duction Physics QC1-999 Biology (General) QH301-705.5 Chemistry QD1-999
Zdroj:	مجلة علوم ذي قار, Vol 6, Iss 4 (2019)
Druh dokumentu:	article
ISSN:	1991-8690 2709-0256
Popis:	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 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).
Databáze:	Directory of Open Access Journals
Externí odkaz:	https://doaj.org/article/397c7326a65c48c5860f50101e394165 Zobrazit plný text záznamu View record in DOAJ