| Presentation | 1998/5/15 Twisted homoclinic orbit in reduced Hodgkin-Huxley equations Hidekazu FUKAI, Yoshinobu MAEDA, K PAKDAMAN, Taishin NOMURA, Shunsuke SATO, |
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| Abstract(in Japanese) | (See Japanese page) |
| Abstract(in English) | The various responses exhibited by the four-variable Hodgkin-Huxley equations when the input current is changed can all be reproduced by two variable reduced models. However, when the parameter representing the potassium reversal potential is also modified, dynamics, such as twisted homoclinic orbits appear that are inherently of dimension higher than two. In this work, we show that, in this case, it is still possible to reduce the HH equation to a three variable system. Our analysis suggests that global bifurcations such as twisted homoclinic bifurcation and period doubling can be preserved in the reduction process. |
| Keyword(in Japanese) | (See Japanese page) |
| Keyword(in English) | Hodgkin-Huxley equations / reduction / bifurcation / twisted homoclinic bifurcation |
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| Conference Information | |
| Committee | NLP |
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| Conference Date | 1998/5/15(1days) |
| Place (in Japanese) | (See Japanese page) |
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| Topics (in Japanese) | (See Japanese page) |
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| Registration To | Nonlinear Problems (NLP) |
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| Language | JPN |
| Title (in Japanese) | (See Japanese page) |
| Sub Title (in Japanese) | (See Japanese page) |
| Title (in English) | Twisted homoclinic orbit in reduced Hodgkin-Huxley equations |
| Sub Title (in English) | |
| Keyword(1) | Hodgkin-Huxley equations |
| Keyword(2) | reduction |
| Keyword(3) | bifurcation |
| Keyword(4) | twisted homoclinic bifurcation |
| 1st Author's Name | Hidekazu FUKAI |
| 1st Author's Affiliation | Department of Systems and Human Science, Graduate School of Engineering Science, Osaka University() |
| 2nd Author's Name | Yoshinobu MAEDA |
| 2nd Author's Affiliation | Department of Systems and Human Science, Graduate School of Engineering Science, Osaka University |
| 3rd Author's Name | K PAKDAMAN |
| 3rd Author's Affiliation | Department of Systems and Human Science, Graduate School of Engineering Science, Osaka University |
| 4th Author's Name | Taishin NOMURA |
| 4th Author's Affiliation | Department of Systems and Human Science, Graduate School of Engineering Science, Osaka University |
| 5th Author's Name | Shunsuke SATO |
| 5th 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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