Detecting synchronization in spatially extended discrete systems by complexity measurements

2004/11/30 by J. R. Sánchez, Juan R. Sánchez, Sánchez, Juan R. +3
Biochemistry, Genetics and Molecular Biology · Computer Science · Mathematics · Physics and Astronomy · #Cellular Automata and Applications #Gene Regulatory Network Analysis #Nonlinear Dynamics and Pattern Formation #cond-mat.dis-nn #cs.MA #math.DS #nlin.CG #nlin.PS #q-bio.QM

paper · pdf · doi:10.48550/arxiv.nlin/0411063

4 pages, 2 figures; you can also visit http://add.unizar.es/public/100_16613/index.html

arxiv created 2004/11/30 · arxiv updated 2009/12/01

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.

Related

• Complexity and Stochastic Synchronization in Coupled Map Lattices and Cellular Automata
• Self-synchronization of Cellular Automata: an attempt to control patterns
• An Experimental Study of Robustness to Asynchronism for Elementary Cellular Automata
• Cellular Automata Model of Synchronization in Coupled Oscillators
• A Deterministic Approach to the Synchronization of Cellular Automata