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Numerical Analysis of FitzHugh-Nagumo Neurons on Random Networks

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Title: Numerical Analysis of FitzHugh-Nagumo Neurons on Random Networks
Authors: Oyama, Yoshihito Browse this author
Yanagita, Tatsuo Browse this author →KAKEN DB
Ichinomiya, Takashi Browse this author
Issue Date: 2006
Publisher: Progress of Theoretical Physics
Journal Title: Progress of Theoretical Physics Supplement
Volume: 161
Start Page: 389
End Page: 392
Publisher DOI: 10.1143/PTPS.161.389
Abstract: We investigate a model of randomly copuled neurons. The elements are FitzHgh-Nagumo excitable neurons. The interactions between them are the mixture of excitatory and inhibitory. When all interactions are excitatory, a rest state is globally stable due to the excitability of neurons. Increasing the number of inhibitory connections, we observe the phase transition from the rest state to an oscillatory state. An analytical description for the critical point of the transition is obtained by means of random matrix theories for an infinite number of neurons, and the result is in good agreement with numerical simulation.
Rights: Copyright © 2006 Progress of Theoretical Physics
Type: article
URI: http://hdl.handle.net/2115/11388
Appears in Collections:電子科学研究所 (Research Institute for Electronic Science) > 雑誌発表論文等 (Peer-reviewed Journal Articles, etc)

Submitter: 柳田 達雄

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