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Abstract and Applied Analysis
Volume 2014 (2014), Article ID 545236, 8 pages
http://dx.doi.org/10.1155/2014/545236
Research Article

Equilibrium Point Bifurcation and Singularity Analysis of HH Model with Constraint

1Department of Mechanics, School of Mechanical Engineering, Tianjin University, Tianjin 300072, China
2Department of Mathematics, School of Science, Tianjin Polytechnic University, Tianjin 300387, China

Received 10 April 2014; Accepted 23 June 2014; Published 7 July 2014

Academic Editor: Rehana Naz

Copyright © 2014 Xinhe Zhu and Zhiqiang Wu. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

Abstract

We present the equilibrium point bifurcation and singularity analysis of HH model with constraints. We investigate the effect of constraints and parameters on the type of equilibrium point bifurcation. HH model with constraints has more transition sets. The Matcont toolbox software environment was used for analysis of the bifurcation points in conjunction with Matlab. We also illustrate the stability of the equilibrium points.