Presentation 2012-07-31
Stability Analysis of Stochastic Neural Network with Depression and Facilitation Synapses
Yuichi KATORI, Yasuhiko IGARASHI, Masato OKADA, Kazuyuki AIHARA,
PDF Download Page PDF download Page Link
Abstract(in Japanese) (See Japanese page)
Abstract(in English) We investigate dynamical properties of a stochastic neural network model in which neurons are connected by dynamic synapses that undergo short-term depression and facilitation. Here, we focus on a neural network with uniform connections and with two kinds of neural response functions: sigmoidal and threshold-linear function. We derive a macroscopic mean field model that captures the overall behavior of the stochastic neural network. We apply stability and bifurcation analyses to the macroscopic mean field model, and we find that the network exhibits a variety of dynamical structures, including ferromagnetic and paramagnetic states, as well as an oscillatory uniform state and that the ferromagnetic state does not appear when the neural response function is a threshold-linear function. We believe that the present study can be a potential milestone for future modeling studies on various structured networks with dynamic synapses.
Keyword(in Japanese) (See Japanese page)
Keyword(in English) Short term plasticity / Mean field model / Neural network / Bifurcation analysis
Paper # NC2012-29
Date of Issue

Conference Information
Committee NC
Conference Date 2012/7/23(1days)
Place (in Japanese) (See Japanese page)
Place (in English)
Topics (in Japanese) (See Japanese page)
Topics (in English)
Chair
Vice Chair
Secretary
Assistant

Paper Information
Registration To Neurocomputing (NC)
Language JPN
Title (in Japanese) (See Japanese page)
Sub Title (in Japanese) (See Japanese page)
Title (in English) Stability Analysis of Stochastic Neural Network with Depression and Facilitation Synapses
Sub Title (in English)
Keyword(1) Short term plasticity
Keyword(2) Mean field model
Keyword(3) Neural network
Keyword(4) Bifurcation analysis
1st Author's Name Yuichi KATORI
1st Author's Affiliation FIRST Aihara Project, JST:Institute of Industrial Science, The University of Tokyo()
2nd Author's Name Yasuhiko IGARASHI
2nd Author's Affiliation Graduate School of Frontier Science, The University of Tokyo
3rd Author's Name Masato OKADA
3rd Author's Affiliation Graduate School of Frontier Science, The University of Tokyo:RIKEN Brain Science Institute
4th Author's Name Kazuyuki AIHARA
4th Author's Affiliation Institute of Industrial Science, The University of Tokyo
Date 2012-07-31
Paper # NC2012-29
Volume (vol) vol.112
Number (no) 168
Page pp.pp.-
#Pages 6
Date of Issue