Bifurcation of the Hodgkin and Huxley equations: A new twist

  • J. Guckenheimer
  • J. S. Labouriau


The Hodgkin and Huxley equations model action potentials in squid giant axons. Variants of these equations are used in most models for electrial activity of excitable membranes. Computational tools based upon the theory of nonlinear dynamical systems are used here to illustrate how the dynamical behavior of the Hodgkin Huxley model changes as functions of two of the system parameters.


Periodic Orbit Equilibrium Point Hopf Bifurcation Phase Portrait Bifurcation Diagram 
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Copyright information

© Society for Mathematical Biology 1993

Authors and Affiliations

  • J. Guckenheimer
    • 1
  • J. S. Labouriau
    • 2
  1. 1.Mathematics DepartmentCornell UniversityIthacaU.S.A.
  2. 2.Departamento de Mathematica AplicadaUniversidade do PortoPortoPortugal

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