Hopf bifurcation control of a Pan-like chaotic system  

作　　者：Liang Zhang Jia-Shi Tang Qin Han 张良;唐驾时;韩芩(College of Mechanical and Vehicle Engineering, Hunan University;College of Mechanical Engineering, Wuchang Institute of Technology)

机构地区：[1]College of Mechanical and Vehicle Engineering,Hunan University,Changsha 410082,China [2]College of Mechanical Engineering,Wuchang Institute of Technology,Wuhan 430065,China

出　　处：《Chinese Physics B》2018年第9期374-379,共6页中国物理B（英文版）

基　　金：Project supported by the National Natural Science Foundation of China(Grant No.11372102)

摘　　要：This paper is concerned with the Hopf bifurcation control of a modified Pan-like chaotic system. Based on the Routh-Hurwtiz theory and high-dimensional Hopf bifurcation theory, the existence and stability of the Hopf bifurcation depending on selected values of the system parameters are studied. The region of the stability for the Hopf bifurcation is investigated.By the hybrid control method, a nonlinear controller is designed for changing the Hopf bifurcation point and expanding the range of the stability. Discussions show that with the change of parameters of the controller, the Hopf bifurcation emerges at an expected location with predicted properties and the range of the Hopf bifurcation stability is expanded. Finally,numerical simulation is provided to confirm the analytic results.This paper is concerned with the Hopf bifurcation control of a modified Pan-like chaotic system. Based on the Routh-Hurwtiz theory and high-dimensional Hopf bifurcation theory, the existence and stability of the Hopf bifurcation depending on selected values of the system parameters are studied. The region of the stability for the Hopf bifurcation is investigated.By the hybrid control method, a nonlinear controller is designed for changing the Hopf bifurcation point and expanding the range of the stability. Discussions show that with the change of parameters of the controller, the Hopf bifurcation emerges at an expected location with predicted properties and the range of the Hopf bifurcation stability is expanded. Finally,numerical simulation is provided to confirm the analytic results.

关 键 词：Hopf bifurcation control Pan-like chaotic system Routh-Hurwtiz hybrid control method stability control high-dimensional Hopf bifurcation 

分 类 号：O415.5[理学—理论物理] O231[理学—物理]