ABSTRACT

Chaotic systems need not be split into stable and unstable subsystems, nor be invertible, for chaotic synchronization to occur. The need for trial-and-error subsystem determination, followed by Lyapunov exponent calculations to determine stability or instability is avoided. The technique set forth in this design uses two versions of the same strange attractor to transmit the binary logical data states of 0 and 1. The parameters controlling the chaotic system are chosen such that the continuous range of values associated with both versions of the attractor completely overlap. This overlap causes every received value to be valid for either version of the attractor, confounding the possibility of data recovery for the unintended listener.