2015年
Microscopic instability in recurrent neural networks
Physical Review E - Statistical, Nonlinear, and Soft Matter Physics
- ,
- ,
- 巻
- 91
- 号
- 3
- 開始ページ
- 032921
- 終了ページ
- 032921
- 記述言語
- 英語
- 掲載種別
- 研究論文(学術雑誌)
- DOI
- 10.1103/PhysRevE.91.032921
- 出版者・発行元
- AMER PHYSICAL SOC
In a manner similar to the molecular chaos that underlies the stable thermodynamics of gases, a neuronal system may exhibit microscopic instability in individual neuronal dynamics while a macroscopic order of the entire population possibly remains stable. In this study, we analyze the microscopic stability of a network of neurons whose macroscopic activity obeys stable dynamics, expressing either monostable, bistable, or periodic state. We reveal that the network exhibits a variety of dynamical states for microscopic instability residing in a given stable macroscopic dynamics. The presence of a variety of dynamical states in such a simple random network implies more abundant microscopic fluctuations in real neural networks which consist of more complex and hierarchically structured interactions.
- リンク情報
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- DOI
- https://doi.org/10.1103/PhysRevE.91.032921
- PubMed
- https://www.ncbi.nlm.nih.gov/pubmed/25871186
- Web of Science
- https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcAuth=JSTA_CEL&SrcApp=J_Gate_JST&DestLinkType=FullRecord&KeyUT=WOS:000351576100009&DestApp=WOS_CPL
- URL
- http://www.scopus.com/inward/record.url?eid=2-s2.0-84961308744&partnerID=MN8TOARS
- ID情報
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- DOI : 10.1103/PhysRevE.91.032921
- ISSN : 1539-3755
- eISSN : 1550-2376
- ORCIDのPut Code : 73425399
- PubMed ID : 25871186
- SCOPUS ID : 84961308744
- Web of Science ID : WOS:000351576100009