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Lyapunov exponents for one-dimensional cellular automata

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In the paper we give a mathematical definition of the left and right Lyapunov exponents for a one-dimensional cellular automaton (CA). We establish an inequality between the Lyapunov exponents and entropies (spatial and temporal).

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Communicated by Michail Rabinovich

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Shereshevsky, M.A. Lyapunov exponents for one-dimensional cellular automata. J Nonlinear Sci 2, 1–8 (1992). https://doi.org/10.1007/BF02429850

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  • DOI: https://doi.org/10.1007/BF02429850

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