Hopf Bifurcation of Cortical Column Model
Zhao Haibin · Journal of Northeastern University · 2010
A class of cortical column models with lumped parameters was studied,where the stability of equilibrium point was analyzed with the conditions for Hopf bifurcation given.Numerical simulation showed that the model can generate several kinds of EEG-like waveforms with different parameters.Changing the external pulse density to be input,the state response of the model undergoes a change from stable point to limited cycle,thus verifying the existence conditions for Hopf bifurcation.The study on bifurcation of EEG provides theoretically further reference for grasping brain's nonlinear structure.