Damage spreading and Lyapunov exponents in cellular automata

Preprint

11 November 1998

preprint
Published by arXiv in arXiv

https://doi.org/10.48550/arXiv.cond-mat/9811159

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.

Keywords

CONCEPT OF THE BOOLEAN
ELEMENTARY CELLULAR
LYAPUNOV EXPONENT
CELLULAR AUTOMATA
PHASE TRANSITION
DAMAGE SPREADING
AUTOMATA USING

All Related Versions

Version 1, 1998-11-11, ArXiv
Published version: Physics Letters A, 172 (1-2), 34.

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