Self-Organized Criticality in Asynchronously Tuned Elementary Cellular Automata release_hu4mekmf3rglrjr7uzprqnqxx4

by Yukio-Pegio Gunji

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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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Date   2013-06-19
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arXiv  1306.4419v1
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