论文信息 - A percolation approach to the Kauffman model

A percolation approach to the Kauffman model

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 parameterpc above which the system becomes chaotic is found to bepc≈0.298. The possibility of suppression of the chaotic phase by noise is also studied. It is found that forp⩾pc, an extremely large noise levelg>0.99 is required, if possible at all.

Pui-Man Lam

[1] S. Kauffman. Metabolic stability and epigenesis in randomly constructed genetic nets. , 1969, Journal of theoretical biology.

[2] B. Derrida,et al. Phase Transitions in Two-Dimensional Kauffman Cellular Automata , 1986 .

[3] B. Derrida,et al. Random networks of automata: a simple annealed approximation , 1986 .

[4] S. Redner,et al. Introduction To Percolation Theory , 2018 .

[5] S. Kauffman. Emergent properties in random complex automata , 1984 .

[6] Gérard Weisbuch,et al. Phase transition in cellular random Boolean nets , 1987 .

[7] P Grassberger,et al. Spreading of percolation in three and four dimensions , 1986 .

[8] Kunihiko Kaneko,et al. CORRIGENDUM: Phase transitions in two-dimensional stochastic cellular automata , 1986 .