Synchronization of switching processes in coupled Lorenz systems

Abstract
Synchronization of two symmetrically coupled Lorenz systems, each of them considered a chaotic bistable system, is investigated numerically. A phenomenon of synchronization of the mean frequencies of switchings in coupled chaotic bistable systems is found. Bifurcations taking place in the system are analyzed. It is shown that there is the region on the “coupling-detuning” parameter plane where the mean frequencies of switchings coincide with a certain accuracy.