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Neural Computing and Applications
Published in: Neural Computing and Applications 1/2014

01-01-2014 | ICONIP 2012

Bifurcation analysis of a two-dimensional simplified Hodgkin–Huxley model exposed to external electric fields

Authors: Hu Wang, Yongguang Yu, Sha Wang, Junzhi Yu

Published in: Neural Computing and Applications | Issue 1/2014

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Abstract

In this paper, the dynamical behaviors of a two-dimensional simplified Hodgkin–Huxley (H–H) model exposed to external electric fields are investigated through qualitative analysis and numerical simulation. A necessary and sufficient condition is proposed for the existence of the Hopf bifurcation. Saddle-node bifurcations and canards of the simplified model with the coefficients of different linear forms are also discussed. Finally, the bifurcation curves with the coefficients of different linear forms are shown. The numerical results demonstrate that some linear forms can retain the bifurcation characteristics of the original model, which is of great use to simplify the H–H model for the real-world applications.
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Metadata
Title
Bifurcation analysis of a two-dimensional simplified Hodgkin–Huxley model exposed to external electric fields
Authors
Hu Wang
Yongguang Yu
Sha Wang
Junzhi Yu
Publication date
01-01-2014
Publisher
Springer London
Published in
Neural Computing and Applications / Issue 1/2014
Print ISSN: 0941-0643
Electronic ISSN: 1433-3058
DOI
https://doi.org/10.1007/s00521-013-1462-3

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