Applications of robust synchronization to communication systems

In this work, using chaotic systems, we study the role of synchronization on codification and decodification of messages. We first present a general result that is useful to prove uniform dessipativeness for nonautonomous systems of ordinary differential equations. Then some theorems are established to give sufficient conditions to obtain synchronization of coupled systems. The above results are applied to some specfic coupled systems, namely, coupled Lorenz systems, coupled Duffing's equations, coupled Chua's systems, etc., showing how to code and decode message using chaotic systems. One of our main results is to obtain the robustness of the synchronization with respect to parameter variation.

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