Critical Kauffman networks under deterministic asynchronous update

Details Critical Kauffman networks under deterministic asynchronous update Critical Kauffman networks under deterministic asynchronous update

2007-07-10

arxiv.org/abs/0707.1450v1

New Journal of Physics 9 (2007) 373

Physics

Condensed Matter

Disordered Systems and Neural Networks

8 pages, 3 figures, submitted to a journal

Scientific paper

10.1088/1367-2630/9/10/373

We investigate the influence of a deterministic but non-synchronous update on Random Boolean Networks, with a focus on critical networks. Knowing that ``relevant components'' determine the number and length of attractors, we focus on such relevant components and calculate how the length and number of attractors on these components are modified by delays at one or more nodes. The main findings are that attractors decrease in number when there are more delays, and that periods may become very long when delays are not integer multiples of the basic update step.

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