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
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.
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;
Conference_Titel :
Natural Computation (ICNC), 2011 Seventh International Conference on
Conference_Location :
Shanghai
Print_ISBN :
978-1-4244-9950-2
DOI :
10.1109/ICNC.2011.6022317
