Center Manifold Analysis of Hopf Bifurcation for Delayed Lienard Equation
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Date
2011-01-01
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Addis Ababa University
Abstract
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.
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Keywords
Center Manifold Analysis, Hopf Bifurcation, Delayed Lienard, Equation