| Presentation | 2006-11-11 Bifurcation phenomena of artificial neuron model with piecewise linear base signal Toshimitsu OHTANI, Toshimichi SAITO, Hiroyuki TORIKAI, |
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| Abstract(in Japanese) | (See Japanese page) |
| Abstract(in English) | This paper studies a bifurcating neuron with a periodic piecewise linear base signal. The dynamics of bifurcating neuron is described by a 1D pulse position map. In the case of triangular base signal, the map is piecewise linear and we can analyze rich phenomena precisely. We clarify mechanism of bifurcation phenomena based on maps and interspike interval. Especially, intersections of tangent and singular bifurcation sets are investigated in detail. These results may be developed into novel bifurcation theory of pulse-coupled systems. |
| Keyword(in Japanese) | (See Japanese page) |
| Keyword(in English) | Spiking Neurons / Pulse-coupled neural networks / Bifurcation / Chaos |
| Paper # | NC2006-68 |
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| Committee | NC |
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| Conference Date | 2006/11/4(1days) |
| Place (in Japanese) | (See Japanese page) |
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| Topics (in Japanese) | (See Japanese page) |
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| Registration To | Neurocomputing (NC) |
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| Language | JPN |
| Title (in Japanese) | (See Japanese page) |
| Sub Title (in Japanese) | (See Japanese page) |
| Title (in English) | Bifurcation phenomena of artificial neuron model with piecewise linear base signal |
| Sub Title (in English) | |
| Keyword(1) | Spiking Neurons |
| Keyword(2) | Pulse-coupled neural networks |
| Keyword(3) | Bifurcation |
| Keyword(4) | Chaos |
| 1st Author's Name | Toshimitsu OHTANI |
| 1st Author's Affiliation | Department of Electronics, Electrical and Computer Engineering, Hosei University() |
| 2nd Author's Name | Toshimichi SAITO |
| 2nd Author's Affiliation | Department of Electronics, Electrical and Computer Engineering, Hosei University |
| 3rd Author's Name | Hiroyuki TORIKAI |
| 3rd Author's Affiliation | Department of Electronics, Electrical and Computer Engineering, Hosei University |
| Date | 2006-11-11 |
| Paper # | NC2006-68 |
| Volume (vol) | vol.106 |
| Number (no) | 342 |
| Page | pp.pp.- |
| #Pages | 5 |
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