Investigation of the Dynamics of Critical k=2 Kauffman Networks Using Second-Order Loops(General)

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概要

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• The mean number and length of attractors in Kauffman networks are strongly affected by the loops formed from the relevant elements. In this paper, to investigate the dynamic behavior of the critical k=2 Kauffman networks, we first employ second-order loops, viz., the relevant element loops having two elements each with two inputs. On the basis of our simulation, in addition to obtaining various dynamic properties of the second-order loops, we also unexpectedly find that the dynamic behavior of the second-order loops is similar to that of the Kauffman networks. Thus, we were able to speculate on various properties of Kauffman networks using the results obtained from the second-order loops. It turns out that for the second-order loops, the mean number of attractors increases exponentially with the number of relevant elements, while the mean attractor length increases as a power law with the number of relevant elements.

• 社団法人日本物理学会の論文
• 2008-09-15

著者

• Wang Shu-chin

  Department Of Physics National Changhua University Of Education

• Li Ping-cheng

  Department Of Physics National Chung-hsing University

• CHEN Shan-Tarng

  Department of Physics, National Chung-Hsing University

• TSENG Hsen-Che

  Department of Physics, National Chung-Hsing University

• Tseng Hsen-che

  Department Of Physics National Chung-hsing University

• Chen Shan-tarng

  Department Of Physics National Chung-hsing University

関連論文

• Investigation of the Dynamics of Critical k=2 Kauffman Networks Using Second-Order Loops(General)
• Studies of the Dynamics of Critical Random Boolean Networks Using Relevant Element Loops(General)
• Entropic Transport from a Discrete Standpoint

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