Terry-Jack, Mohammed; O’Keefe, Simon Classifying 1D elementary cellular automata with the 0-1 test for chaos. (English) Zbl 1525.37017 Physica D 453, Article ID 133786, 15 p. (2023). MSC: 37B15 68Q80 68Q19 PDFBibTeX XMLCite \textit{M. Terry-Jack} and \textit{S. O'Keefe}, Physica D 453, Article ID 133786, 15 p. (2023; Zbl 1525.37017) Full Text: DOI
Bhattacharjee, Kamalika; Naskar, Nazma; Roy, Souvik; Das, Sukanta A survey of cellular automata: types, dynamics, non-uniformity and applications. (English) Zbl 07802759 Nat. Comput. 19, No. 2, 433-461 (2020). MSC: 68Q80 37B15 PDFBibTeX XMLCite \textit{K. Bhattacharjee} et al., Nat. Comput. 19, No. 2, 433--461 (2020; Zbl 07802759) Full Text: DOI arXiv
Hellouin De Menibus, B.; Salo, V.; Theyssier, G. Characterizing asymptotic randomization in abelian cellular automata. (English) Zbl 1441.37017 Ergodic Theory Dyn. Syst. 40, No. 4, 923-952 (2020). Reviewer: Alexei Kanel-Belov (Ramat-Gan) MSC: 37B15 37A60 37A05 37B10 PDFBibTeX XMLCite \textit{B. Hellouin De Menibus} et al., Ergodic Theory Dyn. Syst. 40, No. 4, 923--952 (2020; Zbl 1441.37017) Full Text: DOI arXiv
Xu, Junkang; Li, Erlin; Chen, Fangyue; Jin, Weifeng Chaotic properties of elementary cellular automata with majority memory. (English) Zbl 1416.37018 Chaos Solitons Fractals 115, 84-95 (2018). MSC: 37B15 37B10 68-04 68Q80 PDFBibTeX XMLCite \textit{J. Xu} et al., Chaos Solitons Fractals 115, 84--95 (2018; Zbl 1416.37018) Full Text: DOI
Mariot, Luca; Leporati, Alberto; Dennunzio, Alberto; Formenti, Enrico Computing the periods of preimages in surjective cellular automata. (English) Zbl 07802332 Nat. Comput. 16, No. 3, 367-381 (2017). MSC: 68Q80 37B15 94A55 PDFBibTeX XMLCite \textit{L. Mariot} et al., Nat. Comput. 16, No. 3, 367--381 (2017; Zbl 07802332) Full Text: DOI
Jin, Weifeng; Chen, Fangyue Symbolic dynamics of glider guns for some one-dimensional cellular automata. (English) Zbl 1349.37045 Nonlinear Dyn. 86, No. 2, 941-952 (2016). MSC: 37E05 37B15 37B10 PDFBibTeX XMLCite \textit{W. Jin} and \textit{F. Chen}, Nonlinear Dyn. 86, No. 2, 941--952 (2016; Zbl 1349.37045) Full Text: DOI
Jin, Weifeng; Chen, Fangyue Topological chaos of the spatial prisoner’s dilemma game on regular networks. (English) Zbl 1343.91005 J. Theor. Biol. 391, 43-50 (2016). MSC: 91A22 91A43 37D45 PDFBibTeX XMLCite \textit{W. Jin} and \textit{F. Chen}, J. Theor. Biol. 391, 43--50 (2016; Zbl 1343.91005) Full Text: DOI
Jin, Weifeng; Chen, Fangyue A novel construction of chaotic dynamics base gliders in diffusion rule B2/S7. (English) Zbl 1331.37014 Nonlinear Dyn. 78, No. 2, 779-788 (2014). MSC: 37B10 37B15 37B40 37D45 68Q80 PDFBibTeX XMLCite \textit{W. Jin} and \textit{F. Chen}, Nonlinear Dyn. 78, No. 2, 779--788 (2014; Zbl 1331.37014) Full Text: DOI
Chang, Chih-Hung; Chen, Yu-Wen The measure-theoretic entropy and topological entropy of actions over \(\mathbb{Z}_m\). (English) Zbl 1486.37011 J. Math. 2013, Article ID 404626, 6 p. (2013). MSC: 37B15 37B40 28D20 37A35 68Q80 PDFBibTeX XMLCite \textit{C.-H. Chang} and \textit{Y.-W. Chen}, J. Math. 2013, Article ID 404626, 6 p. (2013; Zbl 1486.37011) Full Text: DOI
Martínez, Genaro J.; Adamatzky, Andrew; Alonso-Sanz, Ramon Designing complex dynamics in cellular automata with memory. (English) Zbl 1277.37025 Int. J. Bifurcation Chaos Appl. Sci. Eng. 23, No. 10, Article ID 1330035, 131 p. (2013). MSC: 37B15 68Q80 PDFBibTeX XMLCite \textit{G. J. Martínez} et al., Int. J. Bifurcation Chaos Appl. Sci. Eng. 23, No. 10, Article ID 1330035, 131 p. (2013; Zbl 1277.37025) Full Text: DOI arXiv
Schüle, Martin; Stoop, Ruedi A full computation-relevant topological dynamics classification of elementary cellular automata. (English) Zbl 1319.37008 Chaos 22, No. 4, 043143, 10 p. (2012). MSC: 37B15 37B10 PDFBibTeX XMLCite \textit{M. Schüle} and \textit{R. Stoop}, Chaos 22, No. 4, 043143, 10 p. (2012; Zbl 1319.37008) Full Text: DOI arXiv Link
Chen, Fang-Yue; Jin, Wei-Feng; Chen, Guan-Rong; Chen, Fang-Fang; Chen, Lin Chaos of elementary cellular automata rule 42 of Wolfram’s class II. (English) Zbl 1311.37006 Chaos 19, No. 1, 013140, 6 p. (2009). MSC: 37B15 37B25 PDFBibTeX XMLCite \textit{F.-Y. Chen} et al., Chaos 19, No. 1, 013140, 6 p. (2009; Zbl 1311.37006) Full Text: DOI
Acerbi, Luigi; Dennunzio, Alberto; Formenti, Enrico Conservation of some dynamical properties for operations on cellular automata. (English) Zbl 1171.68022 Theor. Comput. Sci. 410, No. 38-40, 3685-3693 (2009). MSC: 68Q80 37B10 37B15 PDFBibTeX XMLCite \textit{L. Acerbi} et al., Theor. Comput. Sci. 410, No. 38--40, 3685--3693 (2009; Zbl 1171.68022) Full Text: DOI
Akın, Hasan On the topological directional entropy. (English) Zbl 1162.37006 J. Comput. Appl. Math. 225, No. 2, 459-466 (2009). Reviewer: Thomas Ward (Norwich) MSC: 37B15 28D20 37A35 37B40 PDFBibTeX XMLCite \textit{H. Akın}, J. Comput. Appl. Math. 225, No. 2, 459--466 (2009; Zbl 1162.37006) Full Text: DOI arXiv
Allouche, J.-P.; Skordev, G. Remarks on permutive cellular automata. (English) Zbl 1055.68076 J. Comput. Syst. Sci. 67, No. 1, 174-182 (2003). MSC: 68Q80 37B15 PDFBibTeX XMLCite \textit{J. P. Allouche} and \textit{G. Skordev}, J. Comput. Syst. Sci. 67, No. 1, 174--182 (2003; Zbl 1055.68076) Full Text: DOI
Dartnell, Pablo; Maass, Alejandro; Schwartz, Fernando Combinatorial constructions associated to the dynamics of one-sided cellular automata. (English) Zbl 1044.68112 Theor. Comput. Sci. 304, No. 1-3, 485-497 (2003). MSC: 68Q80 37B99 37Exx 54H20 PDFBibTeX XMLCite \textit{P. Dartnell} et al., Theor. Comput. Sci. 304, No. 1--3, 485--497 (2003; Zbl 1044.68112) Full Text: DOI
Cattaneo, G.; Formenti, E.; Margara, L.; Mauri, G. On the dynamical behavior of chaotic cellular automata. (English) Zbl 0933.68096 Theor. Comput. Sci. 217, No. 1, 31-51 (1999). MSC: 68Q80 PDFBibTeX XMLCite \textit{G. Cattaneo} et al., Theor. Comput. Sci. 217, No. 1, 31--51 (1999; Zbl 0933.68096) Full Text: DOI