FUNCTIONAL SYNCHRONIZATION AND ITS APPLICATION TO SECURE COMMUNICATIONS

A new kind of synchronization in which some well-defined functions of dynamical variables tend to each other as time evolves is shown to take place in two distinct three-dimensional nonlinear systems. This new kind of functional synchronization is analyzed using the partial Lyapunov functions which help one to construct the functions of the nonlinear variables which synchronize. In the next phase we show how one can develop a set of keys to encode and decode a signal which is to be transmitted. Since the key construction is very much dependent on the chosen function, the whole system is highly secure.

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