Generation of on-off intermittency based on R(o)ssler chaotic system

• 来源期刊: 中国物理（英文版）
• 关键词: chaotic system on off intermittency transverse Lyapunov exponent blowout bifurcation,intermingled basins
• 年，卷（期）: 2007,（9）
• 页码范围: 2616-2626
• 页数: 11页
• 语种: 英文

摘要

In this paper, one-state on-off intermittency and two-state on-off intermittency are generated in two fivedimensional continuum systems respectively. In each system, a two-dimensional subsystem is driven by the R(o)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.