Distinction of Coexistent Attractors in an Attractor Neural Network Model Using a Relaxation Process of Fluctuations in Firing Rates –Analysis with Statistical Mechanics–

Sawako Tanimoto, Masato Okada, Tomoyuki Kimoto, Tatsuya Uezu
2006 Journal of the Physical Society of Japan  
Griniasty et al. introduced an attractor neural network of the temporal cortex based on the correlationtype associative memory model. In this model, there are parameter regions where the Hopfield attractor and the correlated attractor coexist. We study a method of distinguishing these two attractors. For this purpose, we examine the relaxations of neural firing rate fluctuations. In other words, we introduce sublattices and calculate the correlations of firing rate fluctuations in the
more » ... s using a statistical mechanical method and Monte Carlo simulations. As a result, we found that the relaxation time for the correlated attractor is longer than that for the Hopfield attractor. Therefore, two bistable attractors can be distinguished by observing relaxation times.
doi:10.1143/jpsj.75.104004 fatcat:42uenachebgrvgvy5otsl26nuy