Presentation 1998/5/15
Dynamics of Periodically Stimulated Excitable and Oscillatory Membrane Models
Kohzoh YOSHINO, Taishin NOMURA, Khashayar PAKDAMAN, Shunsuke SATO,
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Abstract(in English) Many excitable neuronal membranes become oscillatory when stimulated by large enough de currents. In this paper, we investigate how the transition from excitable to oscillatory regimes affects the response of the membrane to periodic pulse trains using FitzHugh-Nagumo neuron model. We show that, despite the important change in the asymptotic dynamics of the unperturbed model, p:q phase-locking regions in the stimulus period-stimulus amplitude parameter plane(Arnold tongues) change continuously when the model changes from excitable to oscillatory. We provide further evidence for the continuous change of the Arnold tongues by using an analytically tractable one dimensional map that approximates the Poincare map of the forced system.
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Keyword(in English) excitable membrane / oscillatory membrane / one dimensional map / FitzHugh-Nagumo equations / Arnold tongues
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Committee NLP
Conference Date 1998/5/15(1days)
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Registration To Nonlinear Problems (NLP)
Language JPN
Title (in Japanese) (See Japanese page)
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Title (in English) Dynamics of Periodically Stimulated Excitable and Oscillatory Membrane Models
Sub Title (in English)
Keyword(1) excitable membrane
Keyword(2) oscillatory membrane
Keyword(3) one dimensional map
Keyword(4) FitzHugh-Nagumo equations
Keyword(5) Arnold tongues
1st Author's Name Kohzoh YOSHINO
1st Author's Affiliation Department of Systems and Human Science, Graduate School of Engineering Science, Osaka University()
2nd Author's Name Taishin NOMURA
2nd Author's Affiliation Department of Systems and Human Science, Graduate School of Engineering Science, Osaka University
3rd Author's Name Khashayar PAKDAMAN
3rd Author's Affiliation Department of Systems and Human Science, Graduate School of Engineering Science, Osaka University
4th Author's Name Shunsuke SATO
4th Author's Affiliation Department of Systems and Human Science, Graduate School of Engineering Science, Osaka University
Date 1998/5/15
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Volume (vol) vol.98
Number (no) 45
Page pp.pp.-
#Pages 8
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