Browsing by Author "Amsalu Hafte"

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    Center Manifold Analysis of Hopf Bifurcation for Delayed Lienard Equation
    (Addis Ababa University, 2011-01-01) Amsalu Hafte; Abdi Tadesse (PhD)
    Lie nard equation serves as the elegant models for oscillating circuits. This paper addresses the stability property of a class of delayed lie nard equations. This project uses operator differential equation formulation to reduce the infinite dimensional delayed lie nard equation onto a two dimensional manifold on the critical bifurcation. Based on the reduced two dimensional systems, the so called Poincare-Lyapunov constant is analytically determined, which determines the criticality of the Hopf-bifurcation.