Center Manifold Analysis Of Hopf Bifurcation For Delayed Lienard Equation

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.rnThis 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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