Detecting synchronization in spatially extended discrete systems by complexity measurements

JUAN R. SANCHEZ, Ricardo López‐Ruiz · Discrete Dynamics in Nature and Society · 2005

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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