ID 110620
Title Transcription
シナプス ケツゴウ ニューロン モデル ノ ブンキ カイセキ
Title Alternative
Bifurcation analysis of synaptically coupled neuronal model
Author
Yoshinaga, Tetsuya Department of Radiologic Science and Engineering, School of Health Sciences, The University of Tokushima Tokushima University Educator and Researcher Directory KAKEN Search Researchers
Keywords
coupled neuron model
synaptic transmission
bifurcation
nonlinear dynamical system
Content Type
Journal Article
Description
We investigate bifurcations of periodic solutions in model equations of neurons coupled through the characteristics of synaptic transmissions with a time delay. The model can be considered as a dynamical system whose solution includes jumps depending on a condition related to the behavior of the trajectory. Although the solution is discontinuous, we can define the Poincare map as a synthesis of successive submaps, and give its derivatives for obtaining periodic points and their bifurcations.Using our proposed method, we clarify mechanisms of bifurcations among synchronized oscillations with phase-locking patterns by analyzing periodic solutions observed in a model of coupled Hodgkin-Huxley equations. Moreover we illustrate a mechanism of the generation of chaotic itinerancy or the phenomenon of chaotic transitions among several quasi-stable states, which corresponds to associative dynamics or memory searching process in real neurons, by the analysis of four-coupled Bonhoffer-van der Pol equations.
Journal Title
四国医学雑誌
ISSN
00373699
NCID
AN00102041
Publisher
徳島医学会
Volume
59
Issue
4-5
Start Page
228
End Page
234
Sort Key
228
Published Date
2003-10-25
EDB ID
FullText File
language
jpn
TextVersion
Publisher
departments
Medical Sciences