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A percolation approach to the Kauffman model

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Abstract

A study is made of the spreading of damage in the random but deterministic Kauffman model on the square lattice with the spreading from one edge of the lattice. The critical value of the parameterp c above which the system becomes chaotic is found to bep c≈0.298. The possibility of suppression of the chaotic phase by noise is also studied. It is found that forpp c, an extremely large noise levelg>0.99 is required, if possible at all.

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On leave from Institute of Theoretical Physics, Chinese Academy of Sciences, Beijing, China.

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Lam, P.M. A percolation approach to the Kauffman model. J Stat Phys 50, 1263–1269 (1988). https://doi.org/10.1007/BF01019165

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  • DOI: https://doi.org/10.1007/BF01019165

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