Bifurcation phenomenon of wendling's EEG model

In this paper, we present a mathematical analysis of an EEG model proposed by Wendling et al. We analyze the Hopf bifurcation and saddle-node bifurcation phenomenon of the model for explaining how it can produce several different types of EEG activity. We give a fairly detailed description of the be...

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Bibliographic Details
Main Authors: Shujuan Geng, Weidong Zhou, Qi Yuan, Zhen Ma
Format: Conference Proceeding
Language:English
Subjects:
Analytical models
Bifurcation
Brain modeling
Computational modeling
Eigenvalues and eigenfunctions
Electroencephalography
Mathematical model
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Summary:In this paper, we present a mathematical analysis of an EEG model proposed by Wendling et al. We analyze the Hopf bifurcation and saddle-node bifurcation phenomenon of the model for explaining how it can produce several different types of EEG activity. We give a fairly detailed description of the behavior of the model by the bifurcation diagram. Study on bifurcations of Wendling's model provides further theoretical reference for understanding brain's nonlinear electric activity.
DOI:10.1109/ISBB.2011.6107658