On–off intermittency in continuum systems driven by Lorenz system

Previous studies of on–off intermittency in continuum systems are generally in the synchronization of identical chaotic oscillators or in the nonlinear systems driven by the Duffing oscillator. In this paper, one-state on–off intermittency and two-state on–off intermittency are observed in two five-dimensional continuum systems, respectively. The systems have skew product structure in which a two-dimensional subsystem is driven by the well-known Lorenz chaotic system. Moreover, the phenomenon of intermingled basins is observed below the blowout bifurcation. The statistical properties of the intermittency in the systems are investigated. It is shown that the distribution of the laminar phase duration time follows a -32 power law, and that of the burst phase amplitude shows a −1 power law, which coincide with the basic statistical characteristics of on–off intermittency.