迈向结构平衡的元胞自动机-连结动力学的长周期

IF 3.7 3区计算机科学 Q2 COMPUTER SCIENCE, INTERDISCIPLINARY APPLICATIONS

Journal of Computational Science Pub Date : 2025-09-02 DOI:10.1016/j.jocs.2025.102712

Malgorzata J. Krawczyk, Krzysztof Kułakowski

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引用次数: 0

摘要

元胞自动机是在一个全连通网络的线形图上定义的。在大多数情况下，自动机规则驱动系统达到结构平衡。在这里，我们研究了具有特殊对称性的循环，即所谓的“完美循环”，Burda等人（2022）。研究了循环的两个新特征，作为完美循环的潜在标志：链路外部损坏后获得的状态集的等价性，以及局部轨迹之间相移分布的均匀性。只有第二个特征可以作为循环是否完美的标准。其结果可用于生成伪随机数。

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A cellular automaton towards structural balance—Long cycles of link dynamics

A cellular automaton is defined on a line graph of a fully connected network. The automaton rule drives the system to a structural balance in most cases. Here, we investigate cycles with special symmetries, the so-called ’perfect cycles’ Burda et al. (2022). Two new characteristics of the cycles are investigated, as potential markers of perfect cycles: an equivalence of sets of states attained after external damage of links, and the homogeneity of the distribution of phase shifts between local trajectories. Only the second characteristic works as a criterion of the perfectness of the cycles. The results can be useful for generating pseudorandom numbers.

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来源期刊

Journal of Computational Science COMPUTER SCIENCE, INTERDISCIPLINARY APPLICATIONS-COMPUTER SCIENCE, THEORY & METHODS

CiteScore

5.50

自引率

3.00%

发文量

227

审稿时长

41 days

期刊介绍： Computational Science is a rapidly growing multi- and interdisciplinary field that uses advanced computing and data analysis to understand and solve complex problems. It has reached a level of predictive capability that now firmly complements the traditional pillars of experimentation and theory. The recent advances in experimental techniques such as detectors, on-line sensor networks and high-resolution imaging techniques, have opened up new windows into physical and biological processes at many levels of detail. The resulting data explosion allows for detailed data driven modeling and simulation. This new discipline in science combines computational thinking, modern computational methods, devices and collateral technologies to address problems far beyond the scope of traditional numerical methods. Computational science typically unifies three distinct elements: • Modeling, Algorithms and Simulations (e.g. numerical and non-numerical, discrete and continuous); • Software developed to solve science (e.g., biological, physical, and social), engineering, medicine, and humanities problems; • Computer and information science that develops and optimizes the advanced system hardware, software, networking, and data management components (e.g. problem solving environments).