Mollusc shell pigmentation: Cellular automaton simulations and evidence for undecidability
Mollusc shell pigmentation: Cellular automaton simulations and evidence for undecidability
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DOI：
10.1006/jtbi.1996.0029
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发表时间：
1996-02-07
影响因子：
2
通讯作者：
Markus, M
中科院分区：
文献类型：
--
作者：
Kusch, I;Markus, M
我们提出了一个元胞自动机(CA)来模拟决定天然软体贝壳着色的反应-扩散过程。我们得到了自组织成定常(图灵)结构、行波和在Wolfram自动机中形成的四类。特别是，在周期(II类)和混沌(III类)之间的过渡阶段，获得了非常复杂的“不可判定”结构(Wolfram的IV类)。计算结果与自然贝壳之间的一致表明，有证据表明在自然过程中存在第四类行为。(C)1996年学术出版社有限公司
We present a cellular automaton (CA) to simulate the reaction-diffusion processes which determine the pigmentation of natural mollusc shells. We obtained self-organization into stationary (Turing) structures, travelling waves and the four classes formed in Wolfram's automata. In particular, very complex ''undecidable'' structures (Wolfram's class IV) were obtained at the transition between periodicity (class II) and chaos (class III). Agreement between the calculations and natural shells suggests evidence for class IV behaviour in the natural process. (C) 1996 Academic Press Limited