Reversibility Algorithm for 2D Cellular Automata with Reflective Condition

被引：1
作者：
Redjepov, S. [1 ]
Acar, E. [2 ]
Uguz, S. [3 ]
机构：
[1] Tashkent Univ Informat Technol, Fac Comp Engn, Tashkent 100202, Uzbekistan
[2] Harran Univ, Dept Math, TR-63120 Sanliurfa, Turkey
[3] SU Math & Sci Acad, TR-63100 S Urfa, Turkey
来源：
ACTA PHYSICA POLONICA A | 2018年 / 134卷 / 01期
关键词：
reversibility; 2D CA; rule matrix; reflective boundary; ternary field;
D O I：
10.12693/APhysPolA.134.454
中图分类号：
O4 [物理学];
学科分类号：
0702 ;
摘要：
In the present paper, there are studied main theoretical views of two-dimensional (2D) linear uniform cellular automata with reflective boundary condition over the ternary field, i.e. three states spin case or Z(3). We set up a relation between reversibility of cellular automata and characterization of 2D uniform linear cellular automata with this special boundary conditions by using of the matrix theory. In near future, these cellular automata can be found in many different real life applications, e.g. computability theory, theoretical biology, image processing area, textile design, video processing, etc.
引用
收藏
页码：454 / 456
页数：3
相关论文
共 50 条
[41]   The First Passage Sets of the 2D Gaussian Free Field: Convergence and Isomorphisms [J].
Aru, Juhan ;
Lupu, Titus ;
Sepulveda, Avelio .
COMMUNICATIONS IN MATHEMATICAL PHYSICS, 2020, 375 (03) :1885-1929
[42]   Unveiling reversible hydrogen storage mechanism for the 2D penta-SiCN material [J].
Wang, Qun ;
Guo, Jiyuan ;
Qiu, Zonggang ;
Tan, Xiangxiang ;
Wang, Han ;
Shu, Huabing .
INTERNATIONAL JOURNAL OF HYDROGEN ENERGY, 2024, 77 :486-494
[43]   Ericksen-Landau Modular Strain Energies for Reconstructive Phase Transformations in 2D Crystals [J].
Arbib, Edoardo ;
Biscari, Paolo ;
Patriarca, Clara ;
Zanzotto, Giovanni .
JOURNAL OF ELASTICITY, 2024, 155 (1-5) :747-761
[44]   Reversible Stacking of 2D ZnIn2S4 Atomic Layers for Enhanced Photocatalytic Hydrogen Evolution [J].
Wu, Liqin ;
Li, Mingjie ;
Zhou, Biao ;
Xu, Shuang ;
Yuan, Ligang ;
Wei, Jianwu ;
Wang, Jiarong ;
Zou, Shibing ;
Xie, Weiguang ;
Qiu, Yongcai ;
Rao, Mumin ;
Chen, Guangxu ;
Ding, Liming ;
Yan, Keyou .
SMALL, 2023, 19 (42)
[45]   Enhanced low temperature hydrogen desorption properties and mechanism of Mg(BH4)2 composited with 2D MXene [J].
Zheng, Jiaguang ;
Cheng, Hao ;
Xiao, Xuezhang ;
Chen, Man ;
Chen, Lixin .
INTERNATIONAL JOURNAL OF HYDROGEN ENERGY, 2019, 44 (44) :24292-24300
[46]   Reversibility of 1D Cellular Automata with Periodic Boundary over Finite Fields \documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$\pmb{ {\mathbb{Z}}}_{p}$\end{document} [J].
Zubeyir Cinkir ;
Hasan Akin ;
Irfan Siap .
Journal of Statistical Physics, 2011, 143 (4)
[47]   Highly selective and reversible 2D PtX2 (X = P, As) hazardous gas sensors: Ab-initio study [J].
Zala, Vidit B. ;
Shukla, Rishit S. ;
Bhuyan, Prabal Dev ;
Gupta, Sanjeev K. ;
Gajjar, P. N. .
APPLIED SURFACE SCIENCE, 2021, 563
[48]   Uniformly distributed reaction by 3D host-lithium composite anode for high rate capability and reversibility of Li-O2 batteries [J].
Jeong, Min-Gi ;
Kwak, Won-Jin ;
Kim, Ji Young ;
Lee, Joong Kee ;
Sun, Yang-Kook ;
Jung, Hun-Gi .
CHEMICAL ENGINEERING JOURNAL, 2022, 427
[49]   Real-Time Imaging of 2D and 3D Temperature Distribution: Coating of Metal-Ion-Intercalated Organic Layered Composites with Tunable Stimuli-Responsive Properties [J].
Takeuchi, Machi ;
Imai, Hiroaki ;
Oaki, Yuya .
ACS APPLIED MATERIALS & INTERFACES, 2017, 9 (19) :16546-16552
[50]   Constructing 2D SnS@C nanosheets anchored on interconnected carbon nanotube networks as advanced anode materials for lithium ion and sodium ion batteries [J].
Wang, Hongqiang ;
Huang, Dequan ;
Yan, Zhixiong ;
Pan, Qichang ;
Zheng, Fenghua ;
Huang, Youguo ;
Li, Qingyu .
JOURNAL OF ALLOYS AND COMPOUNDS, 2020, 821
12345