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Volume 6, Number 4, 2016, Pages 1164-1179                                                                DOI:10.11948/2016077
Block Transformation of Hybrid Cellular Automata
Bo Chen,Fangyue Chen,Junbiao Guan,Genaro J. Mart\'{\i}nez
Keywords:Hybrid cellular automata, minority memory, block transform, symbolic dynamics, chaos.
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.
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