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Robustness of Cellular Automata in the Light of Asynchronous Information Transmission

  • Olivier Bouré
  • Nazim Fatès
  • Vincent Chevrier
Part of the Lecture Notes in Computer Science book series (LNCS, volume 6714)

Abstract

Cellular automata are classically synchronous: all cells are simultaneously updated. However, it has been proved that perturbations in the updating scheme may induce qualitative changes of behaviours. This paper presents a new type of asynchronism, the β-synchronism, where the transmission of information between cells is disrupted randomly. After giving a formal definition, we experimentally study the behaviour of β-synchronous models. We observe that, although many effects are similar to those induced by the perturbation of the update, novel phenomena occur. We study the qualitative variation of behaviour triggered by continuous change of the disruption probability. In particular we observe that phase transitions appear, which belong to the directed percolation universality class.

Keywords

asynchronous cellular automata discrete dynamical systems robustness phase transitions directed percolation 

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Copyright information

© Springer-Verlag Berlin Heidelberg 2011

Authors and Affiliations

  • Olivier Bouré
    • 1
  • Nazim Fatès
    • 1
  • Vincent Chevrier
    • 1
  1. 1.Nancy Université – INRIA Nancy–Grand-Est – LORIAFrance

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