论文标题

关于可逆细胞自动机的复杂动力学

On complex dynamics from reversible cellular automata

论文作者

Seck-Tuoh-Mora, Juan Carlos, Martinez, Genaro J., Hernandez-Romero, Norberto, Medina-Marin, Joselito, Barragan-Vite, Irving

论文摘要

复杂性一直是细胞自动机中的一个经常研究主题,因为它们代表了从简单的局部相互作用出现复杂行为的系统。已经进行了大量的研究,提出了复杂的细胞自动机的实例。但是,大多数提出的方法基于仔细的搜索或一致的进化规则结构。 本文介绍了基于可逆细胞自动机的复杂行为的出现。特别是,本文表明,可逆的蜂窝自动机代表了一个足够的框架,以获得仅添加新随机状态的复杂行为。 实验结果表明,可以从可逆的细胞自动机中获得复杂性,其随机状态比可逆自动机中的原始状态多两倍。因此,有可能获得具有数十个状态的复杂细胞自动机。复杂性似乎通常是从可逆的细胞自动机中获得的,并使用其他操作(例如进化规则中的状态或行和列排列的排列)获得。本文的相关性是表明可逆性可能是在蜂窝自动机中实现复杂行为的有用结构。

Complexity has been a recurrent research topic in cellular automata because they represent systems where complex behaviors emerge from simple local interactions. A significant amount of previous research has been conducted proposing instances of complex cellular automata; however, most of the proposed methods are based on a careful search or a meticulous construction of evolution rules. This paper presents the emergence of complex behaviors based on reversible cellular automata. In particular, this paper shows that reversible cellular automata represent an adequate framework to obtain complex behaviors adding only new random states. Experimental results show that complexity can be obtained from reversible cellular automata appending a proportion of about two times more states at random than the original number of states in the reversible automaton. Thus, it is possible to obtain complex cellular automata with dozens of states. Complexity appears to be commonly obtained from reversible cellular automata, and using other operations such as permutations of states or row and column permutations in the evolution rule. The relevance of this paper is to present that reversibility can be a useful structure to implement complex behaviors in cellular automata.

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