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Topological Evolution of Dynamical Networks: Global Criticality from Local Dynamics | | Stefan Bornholdt
; Thimo Rohlf
; | | Date: |
13 Mar 2000 | | Journal: | Phys. Rev. Lett. 84 (2000) 6114-6117 | | Subject: | Disordered Systems and Neural Networks; Statistical Mechanics; Adaptation and Self-Organizing Systems; Molecular Networks | cond-mat.dis-nn cond-mat.stat-mech nlin.AO q-bio.MN | | Affiliation: | Kiel University | | Abstract: | We evolve network topology of an asymmetrically connected threshold network by a simple local rewiring rule: quiet nodes grow links, active nodes lose links. This leads to convergence of the average connectivity of the network towards the critical value $K_c =2$ in the limit of large system size $N$. How this principle could generate self-organization in natural complex systems is discussed for two examples: neural networks and regulatory networks in the genome. | | Source: | arXiv, cond-mat/0003215 | | Other source: | [GID 1005333] pmid10991137 | | Services: | Forum | Review | PDF | Favorites | |
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