Synchronization via Multiplex Pulse Trains

The master–slave synchronization of a complex chaotic system using multiplex pulse trains is considered. Each master outputs a chaotic pulse train of narrow pulses, the intervals of which are governed by a chaotic map. The slave system has the winner-take-all function. A simple realization of the systems is shown. We provide a theorem which guarantees the synchronization in the case that all masters and passive slaves have identical parameter values. Experiments confirm that the synchronized state changes intermittently and we clarify this mechanism. Furthermore, in order to obtain robust synchronization, a stabilization technique of the chaotic system is proposed and applied. The stabilization is guaranteed theoretically and some experimental results are given.