| 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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