Critical branching processes in neural networks |
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Authors: | Anna Levina J. Michael Herrmann Manfred Denker |
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Affiliation: | 1. Georg-August-Universität Göttingen, Germany;2. Georg-August-Universität Göttingen, Germany University of Edinburgh, UK |
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Abstract: | Self-organized criticality generates complex behavior in systems of simple elements. It is observed in various biological neural systems and has been analyzed in simplified model systems. Branching processes often considered to be a mean-field approximation to the dynamics of critical systems. Here we study the validity of such an approximation for the case of a neural network. (© 2008 WILEY-VCH Verlag GmbH & Co. KGaA, Weinheim) |
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