SADDLE-NODE BIFURCATION WITHOUT A REINJECTION PROCESS IN THE TEMPORALINTERMITTENCY

In order to distinguish between a local and a global bifurcation relat ed to the temporal intermittency, a saddle-node bifurcation is numeric ally investigated in a fifth-order system of magnetoconvection. It is found that the fifth-order system exhibits not only the typical interm ittent transition to chaos with the process of random reinjection into a regular motion but also a one-way transition from a laminar phase t o chaos without the reinjection process, when a parameter is changed. The distribution of length of the laminar phase without the reinjectio n process shows -1/2 power law scaling near the threshold. (C) 1998 El sevier Science B.V.