| Presentation | 1999/2/8 Bifurcation of Burst Oscillations with Rectangular Wave form Observed in a Modified BVP Equation as a Neuron Model Kunichika TSUMOTO, Tetsuya YOSHINAGA, Hiroshi KAWAKAMI, |
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| PDF Download Page | PDF download Page Link |
| Abstract(in Japanese) | (See Japanese page) |
| Abstract(in English) | We investigate bifurcations of burst oscillations with rectangular waveform observed in a modified Bonhoeffer-van der Pol equation, which is considered as a circuit model for neurons of a feeding rhythm generator. In particular, we clarify a mechanism of properties in a one-parameter graph on the period of oscillations, showing a staircase with hysteresis jumps, by studying a successive bifurcation process including a chain of homoclinic bifurcations. The occurrence of homoclinic bifurcations is confirmed by using the linking number of limit cycles related with the stable manifold through an equilibrium. |
| Keyword(in Japanese) | (See Japanese page) |
| Keyword(in English) | rectangular wave / homoclinic orbit / linking number / bifurcation / nonlinear circuit |
| Paper # | NLP98-102 |
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| Conference Information | |
| Committee | NLP |
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| Conference Date | 1999/2/8(1days) |
| Place (in Japanese) | (See Japanese page) |
| Place (in English) | |
| Topics (in Japanese) | (See Japanese page) |
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| Paper Information | |
| 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) | Bifurcation of Burst Oscillations with Rectangular Wave form Observed in a Modified BVP Equation as a Neuron Model |
| Sub Title (in English) | |
| Keyword(1) | rectangular wave |
| Keyword(2) | homoclinic orbit |
| Keyword(3) | linking number |
| Keyword(4) | bifurcation |
| Keyword(5) | nonlinear circuit |
| 1st Author's Name | Kunichika TSUMOTO |
| 1st Author's Affiliation | Faculty of Engineering, The University of Tokushima() |
| 2nd Author's Name | Tetsuya YOSHINAGA |
| 2nd Author's Affiliation | Faculty of Engineering, The University of Tokushima |
| 3rd Author's Name | Hiroshi KAWAKAMI |
| 3rd Author's Affiliation | Faculty of Engineering, The University of Tokushima |
| Date | 1999/2/8 |
| Paper # | NLP98-102 |
| Volume (vol) | vol.98 |
| Number (no) | 582 |
| Page | pp.pp.- |
| #Pages | 8 |
| Date of Issue | |