Hopf bifurcation control of a Pan-like chaotic
system
Liang Zhang;Jia-Shi Tang;Qin Han
【期刊名称】《中国物理：英文版》 【年(卷),期】2018(027)009
【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. 【总页数】7页(425-431) 【关键词】
【作者】Liang Zhang;Jia-Shi Tang;Qin Han
【作者单位】College of Mechanical and Vehicle Engineering,Hunan University,Changsha 410082,China;College of Mechanical and Vehicle
Hopf bifurcation control of a Pan-like chaotic system
