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Kazuko TERADA Shuji YOSHIZAWA Chiaki NISHIMURA
A muscle membrane model (the same form as the Hodgkin-Huxley (H-H) equations for the squid axon) at low chloride conductance is shown to have a stable periodic solution, a stable equilibrium point and two unstable equilibrium points simultaneously. This structure does not appear in the H-H equations.
Kazuko TERADA Shuji YOSHIZAWA Chiaki NISHIMURA
Bifurcations of the periodic solutions of the space-clamped Hodgkin-Huxley equations for the muscle membrane are studied regarding the chloride conductance as a parameter. A limit cycle appears at a Hopf bifurcation and disappears at a homoclinic orbit. With high sodium permeability, a subcritical period doubling bifurcation occurs before it disappears.