Abstract In this paper, one-state on--off intermittency and two-state on--off intermittency are generated in two five-dimensional continuum systems respectively. In each system, a two-dimensional subsystem is driven by the R?ssler chaotic system. The parameter conditions under which the on--off intermittency occurs are discussed in detail. The statistical property of the intermittency is investigated. It is shown that the distribution of the laminar phase duration time follows a power law with an exponent of $-3/2$, which is a signature of on--off intermittency. Moreover, the phenomenon of intermingled basins is observed when attractors in the two symmetric invariant subspaces are stable. We provide an effective way to generate on--off intermittency based on a chaotic system, which is important for application and theoretical study.
Received: 02 January 2007
Revised: 29 January 2007
Accepted manuscript online:
Zhou Qian(周茜), Chen Zeng-Qiang(陈增强), and Yuan Zhu-Zhi(袁著祉) Generation of on--off intermittency based on Rössler chaotic system 2007 Chinese Physics 16 2616
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