This paper is concerned with the Hopf bifurcation control of a new hyperchaotic circuit system.Thestability of the hyperchaotic circuit system depends on a selected control parameter is studied,and the critical value ...This paper is concerned with the Hopf bifurcation control of a new hyperchaotic circuit system.Thestability of the hyperchaotic circuit system depends on a selected control parameter is studied,and the critical value ofthe system parameter at which Hopf bifurcation occurs is investigated.Theoretical analysis give the stability of the Hopfbifurcation.In particular,washout filter aided feedback controllers are designed for delaying the bifurcation point andensuring the stability of the bifurcated limit cycles.An important feature of the control laws is that they do not resultin any change in the set of equilibria.Computer simulation results are presented to confirm the analytical predictions.展开更多
基金Supported by the National Natural Science Foundation of China under Grant No.10672053
文摘This paper is concerned with the Hopf bifurcation control of a new hyperchaotic circuit system.Thestability of the hyperchaotic circuit system depends on a selected control parameter is studied,and the critical value ofthe system parameter at which Hopf bifurcation occurs is investigated.Theoretical analysis give the stability of the Hopfbifurcation.In particular,washout filter aided feedback controllers are designed for delaying the bifurcation point andensuring the stability of the bifurcated limit cycles.An important feature of the control laws is that they do not resultin any change in the set of equilibria.Computer simulation results are presented to confirm the analytical predictions.