Equilibrium Point Bifurcation and Singularity Analysis of HH Model with Constraint

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 u...

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Main Authors: Xinhe Zhu, Zhiqiang Wu
Format: Article
Language:English
Published: Wiley 2014-01-01
Series:Abstract and Applied Analysis
Online Access:http://dx.doi.org/10.1155/2014/545236
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author Xinhe Zhu
Zhiqiang Wu
author_facet Xinhe Zhu
Zhiqiang Wu
author_sort Xinhe Zhu
collection DOAJ
description 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.
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institution Kabale University
issn 1085-3375
1687-0409
language English
publishDate 2014-01-01
publisher Wiley
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series Abstract and Applied Analysis
spelling doaj-art-1d4ed1bb40eb4ac2b2ab1852963a5e562025-08-20T03:54:51ZengWileyAbstract and Applied Analysis1085-33751687-04092014-01-01201410.1155/2014/545236545236Equilibrium Point Bifurcation and Singularity Analysis of HH Model with ConstraintXinhe Zhu0Zhiqiang Wu1Department of Mechanics, School of Mechanical Engineering, Tianjin University, Tianjin 300072, ChinaDepartment of Mechanics, School of Mechanical Engineering, Tianjin University, Tianjin 300072, ChinaWe 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.http://dx.doi.org/10.1155/2014/545236
spellingShingle Xinhe Zhu
Zhiqiang Wu
Equilibrium Point Bifurcation and Singularity Analysis of HH Model with Constraint
Abstract and Applied Analysis
title Equilibrium Point Bifurcation and Singularity Analysis of HH Model with Constraint
title_full Equilibrium Point Bifurcation and Singularity Analysis of HH Model with Constraint
title_fullStr Equilibrium Point Bifurcation and Singularity Analysis of HH Model with Constraint
title_full_unstemmed Equilibrium Point Bifurcation and Singularity Analysis of HH Model with Constraint
title_short Equilibrium Point Bifurcation and Singularity Analysis of HH Model with Constraint
title_sort equilibrium point bifurcation and singularity analysis of hh model with constraint
url http://dx.doi.org/10.1155/2014/545236
work_keys_str_mv AT xinhezhu equilibriumpointbifurcationandsingularityanalysisofhhmodelwithconstraint
AT zhiqiangwu equilibriumpointbifurcationandsingularityanalysisofhhmodelwithconstraint