Hyperchaos--chaos--Hyperchaos Transition in a Class of On--Off Intermittent Systems Driven by a Family of Generalized Lorenz Systems |
| |
| Authors: | ZHOU Qian CHEN Zeng-Qiang YUAN Zhu-Zhi |
| |
| Affiliation: | Department of Automation, Nankai University, Tianjin 300071 |
| |
| Abstract: | 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 |
| |
| Keywords: | 05.45.Jn 05.45.Pq |
| 本文献已被 维普 等数据库收录！ |
| 点击此处可从《中国物理快报》浏览原始摘要信息 |
|
点击此处可从《中国物理快报》下载免费的PDF全文 |
|
