A SIMPLE NEURON NETWORK BASED ON HEBB'S RULE

作者:Zhang, Gui-Qing*; Yu, Zi; Yang, Qiu-Ying; Chen, Tian-Lun
来源:International Journal of Modern Physics C, 2011, 22(7): 755-763.
DOI:10.1142/S0129183111016609

摘要

A weighted mechanism in neural networks is studied. This paper focuses on the neuron's behaviors in an area of brain. Our model could regenerate the power-law behaviors and finite size effects of neural avalanche. The probability density functions (PDFs) for the neural avalanche size differing at different times (lattice size) have fat tails with a q-Gaussian shape and the same parameter value of q in the thermodynamical limit. Above two kinds of behaviors show that our neural model can well present self-organized critical behavior. The robustness of PDFs shows the stability of self-organized criticality. Meanwhile, the avalanche scaling relation of the waiting time has been found.

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