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An exhaustive experimental study of synchronization by forcing on elementary cellular automata

Abstract : We study a way of coupling two configurations of the same cellular automaton rule for all elementary cellular automata (ECA). We experimentally show that there are only two possible behaviors: either synchronization for all coupling strength, or a phase transition. This transition is shown to belong to the directed percolation universality class, even for a non chaotic rule and for rules with particles.
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https://hal.archives-ouvertes.fr/hal-00274006
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Submitted on : Thursday, April 17, 2008 - 1:07:57 AM
Last modification on : Thursday, September 29, 2022 - 2:58:07 PM
Long-term archiving on: : Friday, September 28, 2012 - 12:46:18 PM

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  • HAL Id : hal-00274006, version 1

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Jean-Baptiste Rouquier. An exhaustive experimental study of synchronization by forcing on elementary cellular automata. JAC 2008, Apr 2008, Uzès, France. pp.250-261. ⟨hal-00274006⟩

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