Phase Transitions towards Criticality in a Neural System with Adaptive Interactions

被引：114

作者：

Levina, Anna ^{[1
,2
]}

Herrmann, J. Michael ^{[1
,2
,3
]}

Geisel, Theo ^{[1
,2
]}

机构：

[1] Bernstein Ctr Computat Neurosci, D-37073 Gottingen, Germany

[2] Max Planck Inst Dynam & Selforg, D-37073 Gottingen, Germany

[3] Univ Edinburgh, Sch Informat, IPAB, Edinburgh EH8 9AB, Midlothian, Scotland

来源：

PHYSICAL REVIEW LETTERS | 2009年 / 102卷 / 11期

关键词：

SELF-ORGANIZED CRITICALITY; NEOCORTICAL PYRAMIDAL NEURONS; AVALANCHE DYNAMICS; NETWORKS; SYNAPSES; CIRCUITS;

D O I：

10.1103/PhysRevLett.102.118110

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

We analytically describe a transition scenario to self-organized criticality (SOC) that is new for physics as well as neuroscience; it combines the criticality of first and second-order phase transitions with a SOC phase. We consider a network of pulse-coupled neurons interacting via dynamical synapses, which exhibit depression and facilitation as found in experiments. We analytically show the coexistence of a SOC phase and a subcritical phase connected by a cusp bifurcation. Switching between the two phases can be triggered by varying the intensity of noisy inputs.

引用

页数：4

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