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The strange man in random networks of automata

机译:自动机随机网络中的陌生人

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We have performed computer simulations of Kauffman's automata on several graphs, such as the regular square lattice and invasion percolation clusters, in order to investigate phase transitions, radial distributions of the mean total damage (dynamical exponent) and propagation speeds of the damage when one adds a damaging agent, nicknamed "strange man". Despite the increase in the damaging efficiency, we have not observed any appreciable change of the transition threshold to chaos neither for the short-range nor for the small-world case on the square lattices when the strange man is added, in comparison to when small initial damages are inserted in the system. Particularly, we have checked the damage spreading when some connections are removed on the square lattice and when one considers special invasion percolation clusters (high boundary-saturation clusters). It is seen that the propagation speed in these systems is quite sensible to the degree of dilution on the square lattice and to the degree of saturation on invasion percolation clusters. (C) 2008 Elsevier B.V. All rights reserved.
机译:为了研究相变,平均总损伤(动态指数)的径向分布以及损伤的传播速度,我们在几幅图中进行了Kauffman自动机的计算机模拟,例如规则方格和入侵渗流簇。绰号“陌生人”的破坏性特工。尽管破坏效率有所提高,但与添加小人物时相比,无论是短距离还是小世界,方格上的过渡阈值都不会出现明显变化,无论是短距离还是小世界情况初始损坏已插入系统中。特别是,当方格上的某些连接被删除并且考虑特殊的入侵渗流簇(高边界饱和簇)时,我们检查了破坏的扩散。可以看出,这些系统中的传播速度对于方格上的稀释度和入侵渗滤簇上的饱和度非常敏感。 (C)2008 Elsevier B.V.保留所有权利。

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