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Periodic Solutions in the Hodgkin-Huxley Equations for Muscle
Kazuko TERADA Shuji YOSHIZAWA Chiaki NISHIMURA
IEICE TRANSACTIONS on Fundamentals of Electronics, Communications and Computer Sciences
Publication Date: 1992/07/25
Print ISSN: 0916-8508
Type of Manuscript: Special Section LETTER (Special Section on the 1992 IEICE Spring Conference)
nonlinear problem, the Hodgkin-Huxley equations, muscle membrane, homoclinic bifurcation, period doubling bifurcation, chloride conductance,
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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.