Computational Power of Asynchronously Tuned Automata Enhancing the Unfolded Edge of Chaos

Entropy

Yukio-Pegio Gunji¹  Daisuke Uragami² 

[1] Department of Intermedia, Art and Science, School of Fundamental Science and Technology, Waseda University, 3-4-1, Ohkubo, Shinjuku, Tokyo 169-8555, Japan;Department of Mathematical Engineering, College of Industrial Technology, Nihon University, 1-2-1, Izumi-cho, Narashino 275-8575, Japan;

关键词: cellular automata;    dissipative structure;    computational universality;    edge of chaos;    asynchronous updating;   

DOI  :  10.3390/e23111376

来源: DOAJ

【 摘 要 】

Asynchronously tuned elementary cellular automata (AT-ECA) are described with respect to the relationship between active and passive updating, and that spells out the relationship between synchronous and asynchronous updating. Mutual tuning between synchronous and asynchronous updating can be interpreted as the model for dissipative structure, and that can reveal the critical property in the phase transition from order to chaos. Since asynchronous tuning easily makes behavior at the edge of chaos, the property of AT-ECA is called the unfolded edge of chaos. The computational power of AT-ECA is evaluated by the quantitative measure of computational universality and efficiency. It shows that the computational efficiency of AT-ECA is much higher than that of synchronous ECA and asynchronous ECA.

【 授权许可】

Unknown