Bifurcation analysis of a heterogeneous mean-field oscillator game model

2011 ◽  
Author(s):  
Huibing Yin ◽  
Prashant G. Mehta ◽  
Sean P. Meyn ◽  
Uday V. Shanbhag
Keyword(s):  
Bifurcation Analysis ◽  
Mean Field ◽  
Game Model ◽  
Field Oscillator

scholarly journals Mean-Field-Game Model for Botnet Defense in Cyber-Security

2016 ◽  
Vol 74 (3) ◽  
pp. 669-692 ◽  
Author(s):  
V. N. Kolokoltsov ◽  
A. Bensoussan
Keyword(s):  
Cyber Security ◽  
Mean Field ◽  
Game Model ◽  
Mean Field Game

A mean field route choice game model

2018 ◽  
Author(s):  
Rabih Salhab ◽  
Jerome Le Ny ◽  
Roland P. Malhame
Keyword(s):  
Route Choice ◽  
Mean Field ◽  
Game Model

scholarly journals Mean-Field-Game Model of Corruption

2015 ◽  
Vol 7 (1) ◽  
pp. 34-47 ◽  
Author(s):  
V. N. Kolokoltsov ◽  
O. A. Malafeyev
Keyword(s):  
Mean Field ◽  
Game Model ◽  
Mean Field Game

Learning in mean-field oscillator games

2010 ◽  
Author(s):  
Huibing Yin ◽  
Prashant G. Mehta ◽  
Sean P. Meyn ◽  
Uday V. Shanbhag
Keyword(s):  
Mean Field ◽  
Field Oscillator

scholarly journals A Computational Study of a Spatiotemporal Mean Field Model Capturing the Emergence of Alpha and Gamma Rhythmic Activity in the Neocortex

Symmetry ◽  
2018 ◽  
Vol 10 (11) ◽  
pp. 568
Author(s):  
Wassim Haddad
Keyword(s):  
Finite Element ◽  
Bifurcation Analysis ◽  
Field Model ◽  
Computational Study ◽  
Mean Field ◽  
Rhythmic Activity ◽  
Dynamic Equations ◽  
Mean Field Model ◽  
Pharmacological Agents ◽  
The Brain

In this paper, we analyze the spatiotemporal mean field model developed by Liley et al. in order to advance our understanding of the wide effects of pharmacological agents and anesthetics. Specifically, we use the spatiotemporal mean field model for capturing the electrical activity in the neocortex to computationally study the emergence of α - and γ -band rhythmic activity in the brain. We show that α oscillations in the solutions of the model appear globally across the neocortex, whereas γ oscillations can emerge locally as a result of a bifurcation in the dynamics of the model. We solve the dynamic equations of the model using a finite element solver package and show that our results verify the predictions made by bifurcation analysis.

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