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

Hong-Li Zeng, Chen-Ping Zhu, Shu-Xuan Wang, Yan-Dong Guo, Zhi-Ming Gu and Chin-Kun Hu

Physica A: Statistical Mechanics and its Applications, 2020, vol. 540, issue C

Abstract: It is widely believed that the brains of human beings work at or near the state of self-organized criticality (SOC). In the present work, we investigate two-dimensional small-world neural networks (2D SWNN) with Bak–Sneppen (BS)-type neurons as their nodes. By taking threshold firing and refractory period as the key features of neurons in the simulations, a few power laws are obtained for suitable range of parameters. The SOC characterized by the power-law distribution of avalanche sizes as well as 1∕f noise emerges in the present model. Moreover, a set of scaling relations are found to exhibit criticality. The exponent for the power spectrum of all return time is α=0.71, which is comparable with what were found in medical experiments.

Keywords: Two-dimensional small-world neuron network (2D SWNN); Bak–Sneppen (BS)-type neuron; Scaling behaviors; Self-organized criticality (SOC) (search for similar items in EconPapers)
Date: 2020
References: View references in EconPapers View complete reference list from CitEc
Citations:

Downloads: (external link)
http://www.sciencedirect.com/science/article/pii/S0378437119317947
Full text for ScienceDirect subscribers only. Journal offers the option of making the article available online on Science direct for a fee of $3,000

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:540:y:2020:i:c:s0378437119317947

DOI: 10.1016/j.physa.2019.123191

Access Statistics for this article

Physica A: Statistical Mechanics and its Applications is currently edited by K. A. Dawson, J. O. Indekeu, H.E. Stanley and C. Tsallis

More articles in Physica A: Statistical Mechanics and its Applications from Elsevier
Bibliographic data for series maintained by Catherine Liu ().