EXTENDING CHUA'S GLOBAL EQUIVALENCE THEOREM ON WOLFRAM'S NEW KIND OF SCIENCE

DOI10.1142/S0218127407019925zbMath1143.37303OpenAlexW2016156138MaRDI QIDQ3520714

Fangyue Chen, Changbing Tang, Junbiao Guan, Shaowei Shen

Publication date: 26 August 2008

Published in: International Journal of Bifurcation and Chaos (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s0218127407019925

zbMATH Keywords

topological conjugacysymbolic dynamicsequivalence classCellular Automata

Mathematics Subject Classification ID

Dynamical aspects of cellular automata (37B15)

Related Items (9)

Symbolics dynamics of elementary cellular automata rule 88 ⋮ Topological Conjugacy Classification of Elementary Cellular Automata with Majority Memory ⋮ Shift-equivalence of \(k\)-ary, one-dimensional cellular automata rules ⋮ Complex dynamic behaviors in cellular automata rule 14 ⋮ Chaotic behaviors of symbolic dynamics about rule 58 in cellular automata ⋮ Chaos emerged on the ‘edge of chaos’ ⋮ Chaotic behavior of one-dimensional cellular automata rule 24 ⋮ 2D ELEMENTARY CELLULAR AUTOMATA WITH FOUR NEIGHBORS ⋮ Chaos of elementary cellular automata rule 42 of Wolfram’s class II

Cites Work

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• A Nonlinear Dynamics Perspective of Wolfram's New Kind of Science Part II: Universal Neuron
• A NONLINEAR DYNAMICS PERSPECTIVE OF WOLFRAM'S NEW KIND OF SCIENCE PART VI: FROM TIME-REVERSIBLE ATTRACTORS TO THE ARROW OF TIME
• A NONLINEAR DYNAMICS PERSPECTIVE OF WOLFRAM'S NEW KIND OF SCIENCE PART I: THRESHOLD OF COMPLEXITY
• A NONLINEAR DYNAMICS PERSPECTIVE OF WOLFRAM'S NEW KIND OF SCIENCE PART III: PREDICTING THE UNPREDICTABLE
• A NONLINEAR DYNAMICS PERSPECTIVE OF WOLFRAM'S NEW KIND OF SCIENCE PART V: FRACTALS EVERYWHERE
• A NONLINEAR DYNAMICS PERSPECTIVE OF WOLFRAM'S NEW KIND OF SCIENCE PART IV: FROM BERNOULLI SHIFT TO 1/f SPECTRUM

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