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STABILITY AND TRANSITION IN CONTINUOUSLY DEFORMED CELLULAR AUTOMATA.

The behavior of continuously deformed cellular automata rules is explored. The analysis is performed in terms of three entropic measures, entropy density, excess entropy, and entropy distance. These measures have been suggested to be indicative of the capabilities in the storage, processing, and tra...

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Publicado en:Revista Cubana de Física Vol. 37; no. 1; pp. 16 - 24
Autores principales: GARCÍA-MEDINA, K., ESTEVEZ-MOYA, D., ESTEVEZ-RAMS, ERNESTO
Formato: Artículo
Publicado: Universidad de La Habana 2020
Materias:
Cellular automata
Entropy
Information theory
Phase transitions
Chaos theory
Dynamical systems
Phase space
Acceso en línea:Ver este registro en EBSCOhost
Sumario:The behavior of continuously deformed cellular automata rules is explored. The analysis is performed in terms of three entropic measures, entropy density, excess entropy, and entropy distance. These measures have been suggested to be indicative of the capabilities in the storage, processing, and transmission of information. A wealth of different behaviors is found that points to a richness of unexplored rules. Transitions can involve the loss of memory between the discrete rules at the start and end of the deformation parameter values. The behavior of the entropic measures, especially the surge of excess entropy on the verge of transition to disordered states, suggests the occurrence of enhanced computation at the edge of chaos for different types of phase transitions.
Se estudia el comportamiento de autoÍ matas celulares contÍnuamente deformados. El anaÍ lisis se efectuÍa en teÍrminos de magnitudes entroÍ picas indicativas de las capacidades del sistema de almacenar, producir y transportar informacioÍ n. Se hallÍron una amplitud de comportamientos al abrir el espacio de reglas a un conjunto infinito irracional auÍ n sin explorar. Transiciones pueden comprender la peÍ rdida de memoria al comienzo y al final de la transicioÍ n. Aumento de la capacidad de coÍ mputo al borde del caos es hallado y se muestra que tal proceso puede ocurrir en diferentes tipos de transiciones de fases pero en todos los casos, caracterizada por un aumento brusco del exceso de entropÍa.