BINARY CHAOS SYNCHRONIZATION IN ELEMENTARY CELLULAR AUTOMATA

Radu Dogaru, Ioana Dogaru, Hyongsuk Kim · International Journal of Bifurcation and Chaos · 2009

It is shown that 8 of all 256 elementary cellular automata have the property of chaos synchronization using a binary driving sequence. The binary synchronization signal ensures good noise robustness. A simple measure for characterizing long periodic cycles as being "chaotic" was introduced. It is also shown that certain relations between the profile of attractors shaped by the local rule in the finite state space and the property of chaos synchronization exists. A simple modulation–demodulation scheme is proposed allowing to build spread spectrum communication links at low implementation costs while the cellular automata state space (number of cells) can be taken as large as required by cryptographic reasons.

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