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Keyword

Wolfram classification

Description: A scheme for classifying one-dimensional cellular automata by the qualitative behavior and long-term patterns produced by their rules.
OpenAlex ID: keywords/wolfram-classification
Cellular Automata and Complexity
2018 · Stephen Wolfram · CRC Press eBooks · 168
Computational Irreducibility and the Predictability of Complex Physical Systems
2004 · Navot Israeli, Nigel Goldenfeld · Physical Review Letters · 85
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Coarse-graining of cellular automata, emergence, and the predictability of complex systems
2006 · Navot Israeli, Nigel Goldenfeld · Physical Review E · 82
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Phenomenology of glider collisions in cellular automaton Rule 54 and associated logical gates
2005 · Genaro Juárez Martínez, Andrew Adamatzky, et al. · Chaos Solitons & Fractals · 71
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Classifying Cellular Automata Automatically
1998 · Andy Wuensche · 65
Long-range effects in an elementary cellular automaton
1986 · Peter Grassberger · Journal of Statistical Physics · 62
A Note on Elementary Cellular Automata Classification
2013 · Martinez, Genaro J. · arXiv (Cornell University) · 46
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Asymptotic Behavior and Ratios of Complexity in Cellular Automata
2013 · HECTOR ZENIL, ELENA VILLARREAL-ZAPATA · International Journal of Bifurcation and Chaos · 41
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Annealed and quenched inhomogeneous cellular automata (INCA)
1986 · G. Y. Vichniac, P. Tamayo, et al. · Journal of Statistical Physics · 37
1ƒ fluctuation in the “Game of Life”
1998 · Shigeru Ninagawa, Masaaki Yoneda, et al. · Physica D Nonlinear Phenomena · 36
Network Analysis of the State Space of Discrete Dynamical Systems
2007 · Amer Shreim, Peter Grassberger, et al. · Physical Review Letters · 33
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Designing Complex Dynamics in Cellular Automata With Memory
2013 · GENARO J. MARTÍNEZ, ANDREW ADAMATZKY, et al. · International Journal of Bifurcation and Chaos · 32
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A Note on Culik-Yu Classes
1989 · Klaus Sutner · Complex Systems · 30
Computation and Universality: Class IV versus Class III Cellular Automata
2013 · Martinez, Genaro J., Seck-Tuoh-Mora, Juan C., et al. · arXiv (Cornell University) · 26
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Digital image scrambling based on elementary cellular automata
2015 · Abdel Latif Abu Dalhoum, Alia Madain, et al. · Multimedia Tools and Applications · 23
One-dimensional cellular automata characterization by the roughness exponent
1997 · J.A. de Sales, M.L. Martins, et al. · Physica A Statistical Mechanics and its Applications · 22
A complexity analysis of the elementary cellular automaton of rule 122
2001 · Zhisong Jiang · Chinese Science Bulletin · 21
Exact results for discrete dynamical systems on a pair of contours
2018 · Alexander P. Buslaev, Alexander G. Tatashev · Mathematical Methods in the Applied Sciences · 20
Complexity Classes in the Two-dimensional Life Cellular Automata Subspace.
1997 · Michael Magnier, Claude Lattaud, et al. · Complex Systems · 18
Some more exact enumeration results for 1D cellular automata
1987 · P Grassberger · Journal of Physics A Mathematical and General · 17
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On the classifiability of cellular automata
2000 · John T. Baldwin, Saharon Shelah · Theoretical Computer Science · 16
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An extinction-survival-type phase transition in the probabilistic cellular automatonp182–q200
2011 · J R G Mendonça, M J de Oliveira · Journal of Physics A Mathematical and Theoretical · 14
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Role of initial conditions in the classification of the rule space of cellular automata dynamics
1995 · Avinash Dhar, Porus Lakdawala, et al. · Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics · 14
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Topological classification of cellular automata
1991 · P -M Binder · Journal of Physics A Mathematical and General · 14
Wolfram’s Classification and Computation in Cellular Automata Classes III and IV
2012 · Genaro J. Martínez, Juan C. Seck-Tuoh-Mora, et al. · Emergence, complexity and computation · 13
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Works count: 186
Citation count: 1,251
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