Synchronization of Kauffman networks

Details Synchronization of Kauffman networks Synchronization of Kauffman networks

2000-10-05

arxiv.org/abs/nlin/0010013v1

Nonlinear Sciences

Adaptation and Self-Organizing Systems

10 pages, 9 figures

Scientific paper

10.1103/PhysRevE.63.036204

We analyze the synchronization transition for a pair of coupled identical Kauffman networks in the chaotic phase. The annealed model for Kauffman networks shows that synchronization appears through a transcritical bifurcation, and provides an approximate description for the whole dynamics of the coupled networks. We show that these analytical predictions are in good agreement with numerical results for sufficiently large networks, and study finite-size effects in detail. Preliminary analytical and numerical results for partially disordered networks are also presented.

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