Research on Bifurcation of a Class of Cortical EEG Model with Time Delay

Authors

Chunsheng Li, 1. School of Electrical Engineering, Shenyang University of Technology, Shenyang 110870, China; ;
Zhang Xue, 2. School of Sciences, Northeastern University, Shenyang 110819, China;

Abstract

Abstract: The bifurcation characters of a cortical-model with bidirectional time delays were studied, proposed by Robinson, et al. before. Considering transmitting delay between excitatory and inhibitory populations, the stability, bifurcation characters and bifurcation region were achieved. The relationship of cortical potential spectrum density and transmit delay was analyzed when white noise was introduced. Result shows that time delay between different population acts as an important role of model’s dynamic characters and stability, and numerical simulation verifies the theoretical analysis. This research shows the importance of transmit delay in cortical-model, and provides theoretical illustration for further research of epileptic seizure.

Recommended Citation

Li, Chunsheng and Xue, Zhang (2020) "Research on Bifurcation of a Class of Cortical EEG Model with Time Delay," Journal of System Simulation: Vol. 27: Iss. 12, Article 27.
Available at: https://dc-china-simulation.researchcommons.org/journal/vol27/iss12/27

First Page

3063

Revised Date

2015-05-22

DOI Link

https://doi.org/

Last Page

3069

CLC

TP.391.9

Recommended Citation

Li Chunsheng, Zhang Xue. Research on Bifurcation of a Class of Cortical EEG Model with Time Delay[J]. Journal of System Simulation, 2015, 27(12): 3063-3069.