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
The sinh-Gordon equation expansion method is further extended by generalizing the sinh-Gordon equa-tion and constructing new ansatz solution of the considered equation.As its application,the (2+1)-dimensionalKonopelch...The sinh-Gordon equation expansion method is further extended by generalizing the sinh-Gordon equa-tion and constructing new ansatz solution of the considered equation.As its application,the (2+1)-dimensionalKonopelchenko-Dubrovsky equation is investigated and abundant exact travelling wave solutions are explicitly obtainedincluding solitary wave solutions,trigonometric function solutions and Jacobi elliptic doubly periodic function solutions,some of which are new exact solutions that we have never seen before within our knowledge.The method can be appliedto other nonlinear evolution equations in mathematical physics.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.
基金supported by the National Natural Science Foundation of China under Grant No.10672053the Scientific Research Fund of the Education Department of Hunan Province under Grant No.07D064
文摘The sinh-Gordon equation expansion method is further extended by generalizing the sinh-Gordon equa-tion and constructing new ansatz solution of the considered equation.As its application,the (2+1)-dimensionalKonopelchenko-Dubrovsky equation is investigated and abundant exact travelling wave solutions are explicitly obtainedincluding solitary wave solutions,trigonometric function solutions and Jacobi elliptic doubly periodic function solutions,some of which are new exact solutions that we have never seen before within our knowledge.The method can be appliedto other nonlinear evolution equations in mathematical physics.
