Title :
Hopf bifurcation analysis of a feedback control ecosystem with two delays
Author_Institution :
Sch. of Math. & Comput. Sci., Fujian Normal Univ., Fuzhou, China
Abstract :
In this paper, a feedback control ecosystem with two delays is considered. By analyzing the associated characteristic equation, it is shown that Hopf bifurcation occurs as the delay passes through a certain critical values. In order to illustrate our theoretical analysis, some numerical simulations are also included in the end.
Keywords :
bifurcation; delay systems; feedback; Hopf bifurcation analysis; associated characteristic equation; feedback control ecosystem; numerical simulations; two delays; Bifurcation; Delays; Feedback control; Mathematical model; Numerical stability; Stability analysis; Feedback Control; Hopf Bifurcation; Stability; Time Delay;
Conference_Titel :
Control Conference (CCC), 2014 33rd Chinese
Conference_Location :
Nanjing
DOI :
10.1109/ChiCC.2014.6897021
