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    政大機構典藏 > 理學院 > 應用數學系 > 期刊論文 >  Item 140.119/130207


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    題名: The Complexity of Permutive Cellular Automata
    作者: 班榮超
    Ban, Jung-Chao
    Chang, Chih-Hung
    Chen, Ting-Ju
    Lin, Mei-Shao
    貢獻者: 應數系
    關鍵詞: Cellular automata;permutive;equilibrium measure;phase transition;Parry measure;snap-back repeller;chaos
    日期: 2011-01
    上傳時間: 2020-06-22 13:44:06 (UTC+8)
    摘要: This paper studies cellular automata in two aspects: Ergodic and topological behavior. For ergodic aspect, the formulae of measure-theoretic entropy, topological entropy and topological pressure are given in closed forms and Parry measure is demonstrated to be an equilibrium measure for some potential function. For topological aspect, an example is examined to show that the exhibition of snap-back repellers for a cellular automaton infers Li-Yorke chaos. In addition, bipermutive cellular automata are optimized for the exhibition of snap-back repellers in permutive cellular automata whenever two-sided shift space is considered.
    關聯: Journal of Cellular Automata, Vol.6, No.4-5, pp.385-397
    資料類型: article
    顯示於類別:[應用數學系] 期刊論文

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