Hyperchaos-chaos-Hyperchaos Transition in a Class of On-Off Intermittent Systems Driven by a Family of Generalized Lorenz Systems  

作　　者：周茜 陈增强 袁著祉 

机构地区：[1]Department of Automation, Nankai University, Tianjin 300071

出　　处：《Chinese Physics Letters》2008年第9期3169-3172,共4页中国物理快报（英文版）

基　　金：Supported in part by the National Natural Science Foundation of China （Nos. 60774088, 10772135）, the Program for New Century Excellent Talents in University of China （NCET）, the Science and Technology Research Key Project of Education Ministry of China （No.107024）, and the Frontier Technology Research Project of Tianjin （Nos. 08JCZDJC21900, 07CYBJC05800）.

摘　　要：Blowout bifurcation in nonlinear systems occurs when a chaotic attractor lying in some symmetric subspace becomes transversely unstable. A class of five-dimensional continuous autonomous systems is considered, in which a two-dimensional subsystem is driven by a family of generalized Lorenz systems. The systems have some common dynamical characters. As the coupling parameter changes, blowout bifurcations occur in these systems and brings on change of the systems＇ dynamics. After the bifurcation the phenomenon of on-off intermittency appears. It is observed that the systems undergo a symmetric hyperchaos-chaos-hyperchaos transition via or after blowout bifurcations. An example of the systems is given, in which the drive system is the Chen system. We investigate the dynamical behaviour before and after the blowout bifurcation in the systems and make an analysis of the transition process. It is shown that in such coupled chaotic continuous systems, blowout bifurcation leads to a transition from chaos to hyperchaos for the whole systems, which provides a route to hyperchaos.Blowout bifurcation in nonlinear systems occurs when a chaotic attractor lying in some symmetric subspace becomes transversely unstable. A class of five-dimensional continuous autonomous systems is considered, in which a two-dimensional subsystem is driven by a family of generalized Lorenz systems. The systems have some common dynamical characters. As the coupling parameter changes, blowout bifurcations occur in these systems and brings on change of the systems＇ dynamics. After the bifurcation the phenomenon of on-off intermittency appears. It is observed that the systems undergo a symmetric hyperchaos-chaos-hyperchaos transition via or after blowout bifurcations. An example of the systems is given, in which the drive system is the Chen system. We investigate the dynamical behaviour before and after the blowout bifurcation in the systems and make an analysis of the transition process. It is shown that in such coupled chaotic continuous systems, blowout bifurcation leads to a transition from chaos to hyperchaos for the whole systems, which provides a route to hyperchaos.

分 类 号：O415.5[理学—理论物理]