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Author (up) Ruivo, E.L.P.; Montalva-Medel, M.; de Oliveira, P.P.B.; Perrot, K. doi  openurl
  Title Characterisation of the elementary cellular automata in terms of their maximum sensitivity to all possible asynchronous updates Type Journal Article
  Year 2018 Publication Chaos Solitons & Fractals Abbreviated Journal Chaos Solitons Fractals  
  Volume 113 Issue Pages 209-220  
  Keywords Cellular automaton; Asynchronous update; Update digraph; Discrete dynamics; One-step maximum sensitivity  
  Abstract Cellular automata are fully-discrete dynamical systems with global behaviour depending upon their locally specified state transitions. They have been extensively studied as models of complex systems as well as objects of mathematical and computational interest. Classically, the local rule of a cellular automaton is iterated synchronously over the entire configuration. However, the question of how asynchronous updates change the behaviour of a cellular automaton has become a major issue in recent years. Here, we analyse the elementary cellular automata rule space in terms of how many different one-step trajectories a rule would entail when taking into account all possible deterministic ways of updating the rule, for one time step, over all possible initial configurations. More precisely, we provide a characterisation of the elementary cellular automata, by means of their one-step maximum sensitivity to all possible update schedules, that is, the property that any change in the update schedule causes the rule's one-step trajectories also to change after one iteration. Although the one-step maximum sensitivity does not imply that the remainder of the time-evolutions will be distinct, it is a necessary condition for that. (C) 2018 Elsevier Ltd. All rights reserved.  
  Address [Ruivo, Eurico L. P.; de Oliveira, Pedro P. B.] Univ Presbiteriana Mackenzie, Fac Comp & Informat, Sao Paulo, SP, Brazil, Email: eurico.ruivo@mackenzie.br  
  Corporate Author Thesis  
  Publisher Pergamon-Elsevier Science Ltd Place of Publication Editor  
  Language English Summary Language Original Title  
  Series Editor Series Title Abbreviated Series Title  
  Series Volume Series Issue Edition  
  ISSN 0960-0779 ISBN Medium  
  Area Expedition Conference  
  Notes WOS:000442101600024 Approved no  
  Call Number UAI @ eduardo.moreno @ Serial 910  
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