Stability and transition in continuously deformed cellular automata
Karel Garcia-Medina, Daniel Estevez-Moya, Ernesto Estevez-Rams
2020journalRevista Cubana de Física (vol. 37), pp. 16
Resumen
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.