Dual synchronization of chaos in Colpitts electronic oscillators and its applications for communications

We demonstrate the dual synchronization of chaos in two pairs of one-way coupled Colpitts electronic oscillators by both experiment and numerical simulation. We use the cross coupling method, where the difference in voltage between the sum of two master oscillators and one slave oscillator is injected into the other slave oscillator as an electrical current, for dual synchronization of chaos. We have investigated the regions for achieving dual synchronization of chaos when one of the internal parameters is mismatched between the master and slave oscillators. We numerically obtain a similar curve for the accuracy of synchronization to that obtained from our experiments. A communication scheme using dual synchronization of chaos is also proposed and demonstrated.