| Presentation | 2012-07-31 Stability Analysis of Stochastic Neural Network with Depression and Facilitation Synapses Yuichi KATORI, Yasuhiko IGARASHI, Masato OKADA, Kazuyuki AIHARA, |
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| 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 |
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| Committee | NC |
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| Conference Date | 2012/7/23(1days) |
| Place (in Japanese) | (See Japanese page) |
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| Topics (in Japanese) | (See Japanese page) |
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| Registration To | Neurocomputing (NC) |
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| 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 | |