Title :
The dynamical analysis of a two-dimensional simplified Hodgkin-Huxley model
Author :
Wang, Hu ; Yu, Yongguang ; Wang, Mei ; Zhao, Ran
Author_Institution :
Dept. of Math., Beijing Jiaotong Univ., Beijing, China
Abstract :
In this paper, the dynamical behaviors of a two-dimensional simplified Hodgkin-Huxley model exposed to low frequency electric fields are studied by employing the qualitative analysis and numerical simulation. The necessary and sufficient condition is given for the existence of the Hopf bifurcation. The simplified model is very similar to the original model. It would be a great help to further investigate the original model.
Keywords :
bifurcation; neurophysiology; 2D simplified Hodgkin-Huxley model; Hopf bifurcation; low frequency electric field; qualitative analysis; Bifurcation; Electric fields; Electric potential; Mathematical model; Nerve fibers; Numerical models; Oscillators; Hodgkin-Huxley model; Hopf bifurcation; Simplified model;
Conference_Titel :
Natural Computation (ICNC), 2010 Sixth International Conference on
Conference_Location :
Yantai, Shandong
Print_ISBN :
978-1-4244-5958-2
DOI :
10.1109/ICNC.2010.5583234
