Title :
Notice of Retraction
Parameter analysis of one dimensional differential equation with delay by fixed a < 0
Author_Institution :
Dept. of Basic Sci., Jilin Jianzhu Univ., Changchun, China
Abstract :
Notice of Retraction
After careful and considered review of the content of this paper by a duly constituted expert committee, this paper has been found to be in violation of IEEE´s Publication Principles.
We hereby retract the content of this paper. Reasonable effort should be made to remove all past references to this paper.
The presenting author of this paper has the option to appeal this decision by contacting TPII@ieee.org.
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.
Keywords :
bifurcation; delays; differential equations; Hopf bifurcation diagram; characteristic equation root partition; equilibrium stability domain; one dimensional delay differential equation parameter analysis; parameter space; Bifurcation; Delays; Differential equations; Mathematical model; Stability analysis; τ-D decomposition; delay; hopf bifurcation; stability;
Conference_Titel :
Quality, Reliability, Risk, Maintenance, and Safety Engineering (QR2MSE), 2013 International Conference on
Conference_Location :
Chengdu
Print_ISBN :
978-1-4799-1014-4
DOI :
10.1109/QR2MSE.2013.6626001
