A Deterministic Approach to the Synchronization of Cellular Automata
J. Garcia, P. Garcia

TL;DR
This paper presents a deterministic method for synchronizing cellular automata, both linear and nonlinear, using a master-slave coupling scheme based on Boolean derivatives to achieve targeted synchronization.
Contribution
It introduces a novel deterministic synchronization scheme for cellular automata utilizing Boolean derivatives for coupling design.
Findings
Successful synchronization of complex cellular automata demonstrated
Coupling function effectively promotes synchronization without perturbing all sites
Applicable to both linear and nonlinear cellular automata
Abstract
In this work we introduce a deterministic scheme of synchronization of linear and nonlinear cellular automata (CA) with complex behavior, connected through a master-slave coupling. By using a definition of Boolean derivative, we use the linear approximation of the automata to determine a function of coupling that promotes synchronization without perturbing all the sites of the slave system.
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Taxonomy
TopicsCellular Automata and Applications · Nonlinear Dynamics and Pattern Formation · Theoretical and Computational Physics
