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Detecting synchronization in spatially extended discrete systems by complexity measurements

Juan R. Sánchez·Ricardo López-Ruiz
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Abstract

The synchronization of two stochastically coupled one-dimensional cellular automata (CA) is analyzed. It is shown that the transition to synchronization is characterized by a dramatic increase of the statistical complexity of the patterns generated by the difference automaton. This singular behavior is verified to be present in several CA rules displaying complex behavior.

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Juan R. Sánchez, Ricardo López-Ruiz. 2004-11-30. Detecting synchronization in spatially extended discrete systems by complexity measurements. https://arxiv.org/abs/nlin/0411063

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