Generation of on-off intermittency based on RSssler chaotic system |
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Authors: | Zhou Qian Chen Zeng-Qiang and Yuan Zhu-Zhi |
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Institution: | Department of Automation, Nankai University, Tianjin 300071, China |
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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\"{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. |
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Keywords: | chaotic system on--off intermittency transverse Lyapunov
exponent blowout bifurcation intermingled basins |
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