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Block Transformation of Hybrid Cellular Automata |
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| Authors: | Bo Chen Fangyue Chen Junbiao Guan and Genaro J Mart\'{\i}nez |
| Institution: | Department of Mathematics, School of Science, Hangzhou Dianzi University, Hangzhou, Zhejiang 310018, China,Department of Mathematics, School of Science, Hangzhou Dianzi University, Hangzhou, Zhejiang 310018, China,Department of Mathematics, School of Science, Hangzhou Dianzi University, Hangzhou, Zhejiang 310018, China and Escuela Superior de C\''{o}mputo, Instituto Polit\''{e}cnico Nacional, M\''{e}xico D. F., M\''{e}xico;International Center of Unconventional Computing, University of the West of England, BS16 1QY Bristol, United Kingdom |
| Abstract: | By introducing a sequence-block transformation and vector-block transformation, we explore the dynamical properties of hybrid cellular automation (HCA) and hybrid cellular automation with memory (HCAM) in the framework of symbolic dynamics. As the local evolution rules of HCA and HCAM are not-uniform, the new uniform cellular automata (CAs) with multiple states are constructed by specifical the block transformations. Furthermore, because the new CA rules are topologically conjugate with the originals, the complex dynamics of the HCA and HCAM rules can be investigated via the new CA rules. |
| Keywords: | Hybrid cellular automata minority memory block transform symbolic dynamics chaos |
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