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Self-replicating sequences of binary numbers. Foundations II: Strings of length N=4

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Abstract

We study an algorithm which allows sequences of binary numbers (strings) to interact with each other. The simplest system of this kind with a population of 4-bit sequences is considered here. Previously proposed folding methods are used to generate alternative two-dimensional forms of the binary sequences. The interaction of two-dimensional and one-dimensional forms of strings is simulated in a serial computer. The reaction network for the N = 4 system is established. Development of string populations initially generated randomly is observed. Nonlinear rate equations are proposed which provide a model for this simplest system.

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Dedicated to Professor Hermann Haken on the occasion of his 65th Birthday

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Banzhaf, W. Self-replicating sequences of binary numbers. Foundations II: Strings of length N=4. Biol. Cybern. 69, 275–281 (1993). https://doi.org/10.1007/BF00203124

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  • DOI: https://doi.org/10.1007/BF00203124

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