Equilibrium point bifurcation and singularity analysis of HH model with constraint

DOI10.1155/2014/545236zbMath1474.34262OpenAlexW2144499837WikidataQ59039341 ScholiaQ59039341MaRDI QIDQ1724362

Xinhe Zhu, Zhiqiang Wu

Publication date: 14 February 2019

Published in: Abstract and Applied Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1155/2014/545236

Mathematics Subject Classification ID

Neural biology (92C20) Bifurcation theory for ordinary differential equations (34C23) Qualitative investigation and simulation of ordinary differential equation models (34C60)

Uses Software

• Matlab

Cites Work

• Bifurcation of the Hodgkin and Huxley equations: A new twist
• Nonlinear oscillations, dynamical systems, and bifurcations of vector fields
• Singularities and groups in bifurcation theory. Volume I
• Partition of the Hodgkin-Huxley type model parameter space into the regions of qualitatively different solutions
• Mathematical physiology
• Method for constructing the boundary of the bursting oscillations region in the neuron model
• Hopf bifurcations in multiple-parameter space of the Hodgkin-Huxley equations. I: Global organization of bistable periodic solutions
• Hopf bifurcations in multiple-parameter space of the Hodgkin-Huxley equations. II: Singularity theoretic approach and highly degenerate bifurcations
• Classification of bifurcations for nonlinear dynamical problems with constraints
• Mathematical Aspects of Hodgkin-Huxley Neural Theory

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