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Instabilities in associative memory model with synaptic depression and switching phenomena among attractors

2010/05/21 by Yosuke Otsubo, Kenji Nagata, Otsubo, Yosuke +5
Computer Science · Engineering · Neuroscience · #Advanced Memory and Neural Computing #Disordered Systems and Neural Networks (cond-mat.dis-nn) #FOS: Physical sciences #Neural Networks and Applications #Neural dynamics and brain function

paper · pdf · doi:10.48550/arxiv.1005.3916

openalex publication_date 2010/05/21 · openalex created_date 2019/06/27 · openalex updated_date 2026/07/28

Abstract

We investigated how the stability of macroscopic states in the associative memory model is affected by synaptic depression. To this model, we applied the dynamical mean-field theory, which has recently been developed in stochastic neural network models with synaptic depression. By introducing a sublattice method, we derived macroscopic equations for firing state variables and depression variables. By using the macroscopic equations, we obtained the phase diagram when the strength of synaptic depression and the correlation level among stored patterns were changed. We found that there is an unstable region in which both the memory state and mixed state cannot be stable and that various switching phenomena can occur in this region.

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