Report
Correlations Induced by Depressing Synapses in Critically Self-Organized Networks with Quenched Dynamics
| العنوان: | Correlations Induced by Depressing Synapses in Critically Self-Organized Networks with Quenched Dynamics |
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| المؤلفون: | Campos, João Guilherme Ferreira, Costa, Ariadne de Andrade, Copelli, Mauro, Kinouchi, Osame |
| المصدر: | Phys. Rev. E 95, 042303 (2017) |
| سنة النشر: | 2016 |
| المجموعة: | Nonlinear Sciences |
| مصطلحات موضوعية: | Nonlinear Sciences - Adaptation and Self-Organizing Systems |
| الوصف: | In a recent work, mean-field analysis and computer simulations were employed to analyze critical self-organization in networks of excitable cellular automata where randomly chosen synapses in the network were depressed after each spike (the so-called annealed dynamics). Calculations agree with simulations of the annealed version, showing that the nominal \textit{branching ratio\/} $\sigma$ converges to unity in the thermodynamic limit, as expected of a self-organized critical system. However, the question remains whether the same results apply to the biological case where only the synapses of firing neurons are depressed (the so-called quenched dynamics). We show that simulations of the quenched model yield significant deviations from $\sigma=1$ due to spatial correlations. However, the model is shown to be critical, as the largest eigenvalue of the synaptic matrix approaches unity in the thermodynamic limit, that is, $\lambda_c = 1$ . We also study the finite size effects near the critical state as a function of the parameters of the synaptic dynamics. Comment: 8 pages, 8 figures |
| نوع الوثيقة: | Working Paper |
| DOI: | 10.1103/PhysRevE.95.042303 |
| URL الوصول: | http://arxiv.org/abs/1604.05779 |
| رقم الانضمام: | edsarx.1604.05779 |
| قاعدة البيانات: | arXiv |
| DOI: | 10.1103/PhysRevE.95.042303 |
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