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Damage spreading and Lyapunov exponents in cellular automata

F. Bagnoli·R. Rechtman·S. Ruffo
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Abstract

Using the concept of the Boolean derivative we study damage spreading for one dimensional elementary cellular automata and define their maximal Lyapunov exponent. A random matrix approximation describes quite well the behavior of ``chaotic'' rules and predicts a directed percolation-type phase transition. After the introduction of a small noise elementary cellular automata reveal the same type of transition.

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F. Bagnoli, R. Rechtman, S. Ruffo. 1998-11-11. Damage spreading and Lyapunov exponents in cellular automata. https://doi.org/10.1016/0375-9601(92)90185-o

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