Master-slave synchronization of affine cellular automaton pairs Article

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Overview

abstract

• Necessary and sufficient conditions are given for master-slave synchronization of any pair of unidirectionally coupled one-dimensional affine cellular automata of rank one. In each case the synchronization condition is expressed in terms of the coupling and the arithmetic properties of the automaton local rule. The asymptotic behavior of finite length affine automata of rank one, subjected to Dirichlet boundary conditions, is shown to be equivalent to the synchronization problem.

authors

• Salazar Anaya Gelasio
• Ugalde Saldaña Edgardo
• Urías Hermosillo Jesús

publication date

• 2005-01-01

published in

• Discrete and Continuous Dynamical Systems  Journal

Research

keywords

• Cellular automata; Dirichlet boundary conditions; Nilpotency; Synchronization

Additional Document Info

start page

• 491

end page

• 502

volume

• 13

issue

• 2