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      On Certain Analytical Representations of Cellular Automata

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          Abstract

          We extend a previously introduced semi-analytical representation of a decomposition of CA dynamics in arbitrary dimensions and neighborhood schemes via the use of certain universal maps in which CA rule vectors are derivable from the equivalent of superpotentials. The results justify the search for alternative analog models of computation and their possible physical connections.

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          A Spectral Analysis of Function Composition and its Implications for Sampling in Direct Volume Visualization

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            Phase-shifting and logical moiré

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              Origin of Complexity and Conditional Predictability in Cellular Automata

              A simple mechanism for the emergence of complexity in cellular automata out of predictable dynamics is described. This leads to unfold the concept of conditional predictability for systems whose trajectory can only be piecewise known. The mechanism is used to construct a cellular automaton model for discrete chimera-like states, where synchrony and incoherence in an ensemble of identical oscillators coexist. The incoherent region is shown to have a periodicity that is three orders of magnitude longer than the period of the synchronous oscillation.
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                Author and article information

                Journal
                21 August 2017
                Article
                1708.08367
                259ff207-349f-414c-8783-b3f2451d050f

                http://arxiv.org/licenses/nonexclusive-distrib/1.0/

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                11 pages, 2 figures
                nlin.CG

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