Effects of Interactive Function Forms in a Self-Organized Critical Model Based on Neural Networks**The project supported by National Natural Science Foundation of China under Grant Nos. 60074020 and 90203008, and the Doctoral Foundation of the Ministry of Education of China

Abstract

Based on the standard self-organizing map neural network model and an integrate-and-fire mechanism, we introduce a kind of coupled map lattice system to investigate scale-invariance behavior in the activity of model neural populations. We let the parameter β, which together with α represents the interactive strength between neurons, have different function forms, and we find the function forms and their parameters are very important to our model's avalanche dynamical behaviors, especially to the emergence of different avalanche behaviors in different areas of our system.