Self-Organized Criticality in Asynchronously Tuned Elementary Cellular
Automata
release_hu4mekmf3rglrjr7uzprqnqxx4
by
Yukio-Pegio Gunji
2013
Abstract
Self-organized criticality (SOC) reveals a mechanism by which a system is
autonomously evolved to be in a critical state without needing parameter
tuning. Whereas various biological systems are found to be in critical states
and the significance of SOC is being re-estimated, a simple model in a general
platform has not been established. Here, we present SOC in asynchronously tuned
elementary cellular automata (ECA), which was based on asynchronously updating
and tuning the consistency between local dual modes of transitions. This
duality was defined by adjunction, which can be ignored during synchronous
updates. Duality coupled with asynchronous updating can demonstrate that SOC
coincides with the criticality in a phase transition of asynchronous ECA with
respect to density decay.
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