Title :
Notice of Retraction
Stability and bifurcation analysis in a Mackey-Glass system
Author :
Zhichao Jiang ; Xiaohua Bi
Author_Institution :
Fundamental Sci. Dept., North China Inst. of Astronaut. Eng., Langfang, 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, the dynamics of a Mackey-Glass equation with delay are investigated. We prove that a sequence of Hopf bifurcations occur at the positive equilibrium as the delay increases. Explicit algorithm for determining the direction of the Hopf bifurcations and the stability of the bifurcating periodic solutions are derived, using the theory of normal form and center manifold. The global existence of multiple periodic solutions is established using a global Hopf bifurcation result given by Wu and Bendixson criterion for given by Li and.
Keywords :
bifurcation; control system analysis; medical control systems; stability; Mackey-Glass equation; bifurcating periodic solution stability; center manifold; delay; global Hopf bifurcation; normal form theory; physiological control system; positive equilibrium;
Conference_Titel :
Computer Application and System Modeling (ICCASM), 2010 International Conference on
Conference_Location :
Taiyuan
Print_ISBN :
978-1-4244-7235-2
DOI :
10.1109/ICCASM.2010.5620167
