Chaos of elementary cellular automata rule 42 of Wolfram’s class II

DOI10.1063/1.3099610zbMath1311.37006OpenAlexW2007326531WikidataQ51843592 ScholiaQ51843592MaRDI QIDQ5251425

Fangyue Chen, Weifeng Jin, Fangfang Chen, Lin Chen, Guan-Rong Chen

Publication date: 20 May 2015

Published in: Chaos: An Interdisciplinary Journal of Nonlinear Science (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1063/1.3099610

Mathematics Subject Classification ID

Stability of topological dynamical systems (37B25) Dynamical aspects of cellular automata (37B15)

Related Items (10)

Theoretical design and circuit implementation of novel digital chaotic systems via hybrid control ⋮ Topological chaos of the spatial prisoner's dilemma game on regular networks ⋮ UPPER BOUND OF THE DIRECTIONAL ENTROPY OF A ℤ²-ACTION ⋮ Symbolic dynamics of glider guns for some one-dimensional cellular automata ⋮ BLOCK TRANSFORMATION OF HYBRID CELLULAR AUTOMATA ⋮ Complex dynamic behaviors in cellular automata rule 14 ⋮ Chaotic behaviors of symbolic dynamics about rule 58 in cellular automata ⋮ Topological chaos of universal elementary cellular automata rule ⋮ Chaotic behavior of one-dimensional cellular automata rule 24 ⋮ A novel construction of chaotic dynamics base gliders in diffusion rule B2/S7

Cites Work

• Unnamed Item
• Unnamed Item
• Computation theoretic aspects of cellular automata
• Additive one-dimensional cellular automata are chaotic according to Devaney's definition of chaos
• On computing the entropy of cellular automata.
• Remarks on permutive cellular automata.
• Investigating topological chaos by elementary cellular automata dynamics
• 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 VII: ISLES OF EDEN
• EXTENDING CHUA'S GLOBAL EQUIVALENCE THEOREM ON WOLFRAM'S NEW KIND OF SCIENCE
• A NONLINEAR DYNAMICS PERSPECTIVE OF WOLFRAM'S NEW KIND OF SCIENCE PART VIII: MORE ISLES OF EDEN
• Spatial updating, spatial transients, and regularities of a complex automaton with nonperiodic architecture
• Statistical mechanics of cellular automata
• Languages, equicontinuity and attractors in cellular automata
• Traveling waves and chaotic properties in cellular automata
• On Li-Yorke pairs
• Sensitive dependence on initial conditions for cellular automata
• A NONLINEAR DYNAMICS PERSPECTIVE OF WOLFRAM'S NEW KIND OF SCIENCE PART IV: FROM BERNOULLI SHIFT TO 1/f SPECTRUM

This page was built for publication: Chaos of elementary cellular automata rule 42 of Wolfram’s class II