Abdi Tadesse (PhD)Admasu Muluken2018-07-172023-11-042018-07-172023-11-042012-02http://etd.aau.edu.et/handle/123456789/8934This paper addresses the dependency of solution of differential equation on initial data and control parameter. To reduce the dimension of the system, we use center manifold reduction method. Mainly, the paper focus on the cases of static bifurcations occur and non bifurcation. We transformed the fixed points and control parameter to zero. This greatly helps us to use lower order approximation of Taylor series. Finally, by using center manifold reduction and Taylor series expansion we construct the normal form of such types of bifurcationsenCenter Manifold Analysis for StaticThesis