Periodic Solutions in the Hodgkin-Huxley Equations for Muscle
Summary :
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.
- Publication
- IEICE TRANSACTIONS on Fundamentals Vol.E75-A No.7 pp.928-930
- Publication Date
- 1992/07/25
- Publicized
- Online ISSN
- DOI
- Type of Manuscript
- Special Section LETTER (Special Section on the 1992 IEICE Spring Conference)
- Category
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Kazuko TERADA, Shuji YOSHIZAWA, Chiaki NISHIMURA, "Periodic Solutions in the Hodgkin-Huxley Equations for Muscle" in IEICE TRANSACTIONS on Fundamentals,
vol. E75-A, no. 7, pp. 928-930, July 1992, doi: .
Abstract: 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.
URL: https://global.ieice.org/en_transactions/fundamentals/10.1587/e75-a_7_928/_p
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@ARTICLE{e75-a_7_928,
author={Kazuko TERADA, Shuji YOSHIZAWA, Chiaki NISHIMURA, },
journal={IEICE TRANSACTIONS on Fundamentals},
title={Periodic Solutions in the Hodgkin-Huxley Equations for Muscle},
year={1992},
volume={E75-A},
number={7},
pages={928-930},
abstract={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.},
keywords={},
doi={},
ISSN={},
month={July},}
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TY - JOUR
TI - Periodic Solutions in the Hodgkin-Huxley Equations for Muscle
T2 - IEICE TRANSACTIONS on Fundamentals
SP - 928
EP - 930
AU - Kazuko TERADA
AU - Shuji YOSHIZAWA
AU - Chiaki NISHIMURA
PY - 1992
DO -
JO - IEICE TRANSACTIONS on Fundamentals
SN -
VL - E75-A
IS - 7
JA - IEICE TRANSACTIONS on Fundamentals
Y1 - July 1992
AB - 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.
ER -
English
