1995/11/11 by Albert-László Barabási, Albert-Ĺaszló Barabási, Barabási, Albert-László
Biochemistry, Genetics and Molecular Biology · Computer Science · Neuroscience · Physics and Astronomy · #Condensed Matter (cond-mat) #FOS: Biological sciences #FOS: Physical sciences #Neural Networks and Applications #Neural dynamics and brain function #Quantitative Biology (q-bio) #cond-mat #q-bio #stochastic dynamics and bifurcation
paper · pdf · doi:10.48550/arxiv.cond-mat/9511052
Now it has the paper as well! 4 pages, 2 Postscript figures, REVTEX
openalex publication_date 1995/11/11 · arxiv created 1995/11/13 · arxiv updated 2009/11/30 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/31
The connectivity of individual neurons of large neural networks determine both the steady state activity of the network and its answer to external stimulus. Highly diluted random networks have zero activity. We show that increasing the network connectivity the activity changes discontinuously from zero to a finite value as a critical value in the connectivity is reached. Theoretical arguments and extensive numerical simulations indicate that the origin of this discontinuity in the activity of random networks is a first order phase transition from an inactive to an active state as the connectivity of the network is increased.