Title :
Bifurcation phenomenon of wendling´s EEG model
Author :
Geng, Shujuan ; Zhou, Weidong ; Yuan, Qi ; Ma, Zhen
Author_Institution :
Sch. of Inf. Sci. & Eng., Shandong Univ., Jinan, China
Abstract :
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.
Keywords :
bifurcation; bioelectric phenomena; brain models; electroencephalography; mathematical analysis; neurophysiology; Hopf bifurcation; Wendling EEG model; bifurcation diagram; brain nonlinear electric activity; mathematical analysis; saddle-node bifurcation; Analytical models; Bifurcation; Brain modeling; Computational modeling; Eigenvalues and eigenfunctions; Electroencephalography; Mathematical model;
Conference_Titel :
Bioelectronics and Bioinformatics (ISBB), 2011 International Symposium on
Conference_Location :
Suzhou
Print_ISBN :
978-1-4577-0076-7
DOI :
10.1109/ISBB.2011.6107658
