| Paper Abstract and Keywords |
| Presentation |
2006-06-23 10:50
On a pulse-coupled system of bifurcation neuron with triangular base signal
Toshimitsu Ohtani, Toshimichi Saito, Hiroyuki Torikai (Hosei Univ.) |
| Abstract |
(in Japanese) |
(See Japanese page) |
| (in English) |
This paper studies a pulse-coupled system of two bifurcating neurons with a periodic triangular base signal.
The dynamics of single neuron is described by a 1D pulse position map and that of the pulse-coupled system is described by the composition of maps of two single neurons.
In the case of triangular base signal, the composite map is piecewise linear and we can analyze rich phenomena precisely.
We demonstrate two typical phenomena:
1) periodic pulse-train of single neurons is changed into chaotic pulse-train by the pulse-coupling and
2) chaotic pulse-train of single neurons is changed into periodic pulse-train by the pulse-coupling.
These results may be developed into novel bifurcation theory of pulse-coupled systems. |
| Keyword |
(in Japanese) |
(See Japanese page) |
| (in English) |
Spiking Neurons / Pulse-coupled neural networks / Bifurcation / / / / / |
| Reference Info. |
IEICE Tech. Rep., vol. 106, no. 126, NLP2006-12, pp. 9-12, June 2006. |
| Paper # |
NLP2006-12 |
| Date of Issue |
2006-06-16 (NLP) |
| ISSN |
Print edition: ISSN 0913-5685 |
| Download PDF |
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| Conference Information |
| Committee |
NLP |
| Conference Date |
2006-06-23 - 2006-06-23 |
| Place (in Japanese) |
(See Japanese page) |
| Place (in English) |
Chuo Univ. |
| Topics (in Japanese) |
(See Japanese page) |
| Topics (in English) |
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| Paper Information |
| Registration To |
NLP |
| Conference Code |
2006-06-NLP |
| Language |
English (Japanese title is available) |
| Title (in Japanese) |
(See Japanese page) |
| Sub Title (in Japanese) |
(See Japanese page) |
| Title (in English) |
On a pulse-coupled system of bifurcation neuron with triangular base signal |
| Sub Title (in English) |
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| Keyword(1) |
Spiking Neurons |
| Keyword(2) |
Pulse-coupled neural networks |
| Keyword(3) |
Bifurcation |
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| 1st Author's Name |
Toshimitsu Ohtani |
| 1st Author's Affiliation |
Hosei Univ. (Hosei Univ.) |
| 2nd Author's Name |
Toshimichi Saito |
| 2nd Author's Affiliation |
Hosei Univ. (Hosei Univ.) |
| 3rd Author's Name |
Hiroyuki Torikai |
| 3rd Author's Affiliation |
Hosei Univ. (Hosei Univ.) |
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| Speaker |
Author-1 |
| Date Time |
2006-06-23 10:50:00 |
| Presentation Time |
25 minutes |
| Registration for |
NLP |
| Paper # |
NLP2006-12 |
| Volume (vol) |
vol.106 |
| Number (no) |
no.126 |
| Page |
pp.9-12 |
| #Pages |
4 |
| Date of Issue |
2006-06-16 (NLP) |