scholarly journals Self-organized criticality on small world networks

2002 ◽  
Vol 308 (1-4) ◽  
pp. 545-549 ◽  
Author(s):  
L de Arcangelis ◽  
H.J Herrmann
Keyword(s):  
Small World ◽  
Small World Networks ◽  
Self Organized ◽  
Self Organized Criticality

Scaling behaviors and self-organized criticality of two-dimensional small-world neural networks

2020 ◽  
Vol 540 ◽  
pp. 123191 ◽  
Author(s):  
Hong-Li Zeng ◽  
Chen-Ping Zhu ◽  
Shu-Xuan Wang ◽  
Yan-Dong Guo ◽  
Zhi-Ming Gu ◽  
...  
Keyword(s):  
Neural Networks ◽  
Small World ◽  
Two Dimensional ◽  
Self Organized ◽  
Self Organized Criticality

scholarly journals Fractal and Small-World Networks Formed by Self-Organized Critical Dynamics

2015 ◽  
Vol 84 (11) ◽  
pp. 114003 ◽  
Author(s):  
Akitomo Watanabe ◽  
Shogo Mizutaka ◽  
Kousuke Yakubo
Keyword(s):  
Small World ◽  
Critical Dynamics ◽  
Small World Networks ◽  
Self Organized

Coexistence of Stochastic Oscillations and Self-Organized Criticality in a Neuronal Network: Sandpile Model Application

2018 ◽  
Vol 30 (4) ◽  
pp. 1132-1149 ◽  
Author(s):  
Alireza Saeedi ◽  
Mostafa Jannesari ◽  
Shahriar Gharibzadeh ◽  
Fatemeh Bakouie
Keyword(s):  
Small World ◽  
Small World Network ◽  
Release Process ◽  
Model Application ◽  
Self Organized ◽  
Self Organized Criticality ◽  
Stochastic Oscillations ◽  
Two Peaks ◽  
External Stimuli ◽  
The Brain

Self-organized criticality (SOC) and stochastic oscillations (SOs) are two theoretically contradictory phenomena that are suggested to coexist in the brain. Recently it has been shown that an accumulation-release process like sandpile dynamics can generate SOC and SOs simultaneously. We considered the effect of the network structure on this coexistence and showed that the sandpile dynamics on a small-world network can produce two power law regimes along with two groups of SOs—two peaks in the power spectrum of the generated signal simultaneously. We also showed that external stimuli in the sandpile dynamics do not affect the coexistence of SOC and SOs but increase the frequency of SOs, which is consistent with our knowledge of the brain.

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