ARTICLE
TITLE

Damage Spreading and Information Distance in Cellular Automata

SUMMARY

Using the concept of information distance derived from Kolmogorov randomness, we study damage spreading for elementary cellular automata acting on a one-dimensional lattice. In contrast to previous definitions of the Lyapunov exponent based on Hamming distance, the new magnitude allows a better clustering of chaotic rules. Thecombined use of the Lyapunov exponent, Hamming, and information distance-based, results in a more robust characterization of cellular automata behavior. An exten-sion of the type analysis shown can be directly made to other one-dimensional time and space discrete dynamical systems.

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