Browsing by Author "Amsalu Hafte"
Now showing 1 - 1 of 1
Results Per Page
Sort Options
Item 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.