Title :
Research on Hopf bifurcation of cortical column model with time delay
Author :
Chunsheng Li ; Lin Han ; Xue Zhang
Author_Institution :
Sch. of Electr. Eng., Shenyang Univ. of Technol., Shenyang, China
Abstract :
Electroencephalogram (EEG) model is an expression of cortical neural electrical activity, and it helps us to recognize brain electrophysiological process. Considering time delay between excitatory and inhibitory neurons during information transformation, this paper studies the effect of time delay on a class of lumped parameter cortical column model. The stability of equilibrium point is analyzed, and the condition for Hopf bifurcation is achieved. Numerical simulation shows that the model can generate several kinds of EEG-like waveforms and rhythms under different parameters. The simulation verifies the effectiveness of mathematical results. The study on bifurcation of EEG provides more evidence for brain´s nonlinear structure.
Keywords :
bifurcation; bioelectric potentials; brain models; delays; electroencephalography; neurophysiology; nonlinear dynamical systems; EEG; Hopf bifurcation; brain electrophysiological process; cortical column model; cortical neural electrical activity; electroencephalogram; excitatory neurons; inhibitory neurons; lumped parameter cortical column model; time delay; Bifurcation; Brain modeling; Computational modeling; Delay effects; Electroencephalography; Mathematical model; Numerical models; Cortical Column Model; Hopf Bifurcation; Stability; Time Delay;
Conference_Titel :
Control and Decision Conference (CCDC), 2013 25th Chinese
Conference_Location :
Guiyang
Print_ISBN :
978-1-4673-5533-9
DOI :
10.1109/CCDC.2013.6561395