Center Manifold Analysis for Static Bifurcation and Normal Forms
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Date
2012-02
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Addis Ababa University
Abstract
This 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 bifurcations
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Center Manifold Analysis for Static