DocumentCode
554121
Title
Notice of Retraction
Bifurcation analysis and control of the Rossler system
Author
Xuedi Wang ; Wenwen Chen
Author_Institution
Nonlinear Sci. Res. Center, Jiangsu Univ., Zhenjiang, China
Volume
3
fYear
2011
fDate
26-28 July 2011
Firstpage
1484
Lastpage
1488
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.
The bifurcation analysis and bifurcation controlling in Rossler system are studied in this letter. Being based on the controlling theory in nonlinear system, we apply the controller which is designed by ourselves to successfully move the Hopf bifurcation point (0,0,0) to a specify point. At the same time, with the help of the other controller which is also designed by ourselves, we achieve the objective that move the parametric Hopf bifurcation point (0,1 + b/a, - 1 - b/a) to a specify point. Numerical simulations are provided to verify the feasibility and effectiveness, so the result of the control is mutually verified with the theoretical analyses and numerical simulations.
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.
The bifurcation analysis and bifurcation controlling in Rossler system are studied in this letter. Being based on the controlling theory in nonlinear system, we apply the controller which is designed by ourselves to successfully move the Hopf bifurcation point (0,0,0) to a specify point. At the same time, with the help of the other controller which is also designed by ourselves, we achieve the objective that move the parametric Hopf bifurcation point (0,1 + b/a, - 1 - b/a) to a specify point. Numerical simulations are provided to verify the feasibility and effectiveness, so the result of the control is mutually verified with the theoretical analyses and numerical simulations.
Keywords
bifurcation; control system analysis; control system synthesis; nonlinear control systems; numerical analysis; Bifurcation analysis; Rossler system control; nonlinear control system theory; numerical simulations; parametric Hopf bifurcation; Bifurcation; Chaos; Control systems; Fractals; Jacobian matrices; Polynomials; Time series analysis; Bifurcation control; Equilibrium point; Hopf bifurcation; Rossler system;
fLanguage
English
Publisher
ieee
Conference_Titel
Natural Computation (ICNC), 2011 Seventh International Conference on
Conference_Location
Shanghai
ISSN
2157-9555
Print_ISBN
978-1-4244-9950-2
Type
conf
DOI
10.1109/ICNC.2011.6022317
Filename
6022317
Link To Document