Notice of RetractionParameter analysis of one dimensional differential equation with delay by fixed a < 0

Abstract

In this paper, we discuss the characteristic equation of one dimensional delay differential equation. We provide a Hopf bifurcation diagram of the zero solution of the one dimensional delay differentia equation, by using τ-D decomposition. According to the partition of the roots of the characteristic equation, one can determine the stability domain of the equilibrium and Hopf bifurcation curves in the (τ, a, b)-parameter space.