TY - JOUR
ID -
TI - Bifurcation of Solution in Singularly Perturbed ODEs by Using Lyapunov Schmidt Reduction
AU - A.H.Kamil احمد حميد
AU - K. H. Yasir
PY - 2018
VL - 6
IS - 4
SP - 145
EP - 152
JO - JOURNAL OF THI-QAR SCIENCE مجلة علوم ذي قار
SN - 19918690
AB -
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).
ER -