DocumentCode
2829829
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
Volume
6
fYear
2010
fDate
22-24 Oct. 2010
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.
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;
fLanguage
English
Publisher
ieee
Conference_Titel
Computer Application and System Modeling (ICCASM), 2010 International Conference on
Conference_Location
Taiyuan
Print_ISBN
978-1-4244-7235-2
Type
conf
DOI
10.1109/ICCASM.2010.5620167
Filename
5620167
Link To Document