Anti-control of Hopf bifurcation for high-dimensional chaotic system with coexisting attractors

The anti-control of Hopf bifurcation is a common means used in the applications of chaos. Hopf bifurcation phenomenon can be advanced or delayed by the anti-control of Hopf bifurcation to meet the practical needs of engineering. At present, there are few research achievements on anti-control of Hopf bifurcation of low-dimensional chaotic systems, and the control process is complex, and the control effect is not outstanding. This paper takes the high-dimensional chaotic system with coexisting attractors as an example and uses dynamic state feedback control method to implement anti-control of Hopf bifurcation. By introducing adjusted parameters, Hopf bifurcation can be generated at any predetermined location of high-dimensional chaotic system to achieve the desired purpose of anti-control of Hopf bifurcation. The method for anti-control of Hopf bifurcation avoids the complicated calculation process and has remarkable control effect. According to the results of simulation, the anti-control of Hopf bifurcation for high-dimensional chaotic system is verified.