Basic Bifurcation of Artificial Spiking Neurons with Triangular Base Signal
Summary :
This paper studies a spiking neuron circuit with triangular base signal. The circuit can output rich spike-trains and the dynamics can be analyzed using a one-dimensional piecewise linear map. This system exhibits period doubling bifurcation, tangent bifurcation, super-stable periodic orbit bifurcation and so on. These phenomena can be characterized based on the inter-spike intervals. Using the maps, we can analyze the phenomena precisely. By presenting a simple test circuit, typical phenomena are confirmed experimentally.
- Publication
- IEICE TRANSACTIONS on Fundamentals Vol.E91-A No.3 pp.891-894
- Publication Date
- 2008/03/01
- Publicized
- Online ISSN
- 1745-1337
- DOI
- 10.1093/ietfec/e91-a.3.891
- Type of Manuscript
- LETTER
- Category
- Nonlinear Problems
Authors
Keyword
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Toshimitsu OHTANI, Toshimichi SAITO, "Basic Bifurcation of Artificial Spiking Neurons with Triangular Base Signal" in IEICE TRANSACTIONS on Fundamentals,
vol. E91-A, no. 3, pp. 891-894, March 2008, doi: 10.1093/ietfec/e91-a.3.891.
Abstract: This paper studies a spiking neuron circuit with triangular base signal. The circuit can output rich spike-trains and the dynamics can be analyzed using a one-dimensional piecewise linear map. This system exhibits period doubling bifurcation, tangent bifurcation, super-stable periodic orbit bifurcation and so on. These phenomena can be characterized based on the inter-spike intervals. Using the maps, we can analyze the phenomena precisely. By presenting a simple test circuit, typical phenomena are confirmed experimentally.
URL: https://global.ieice.org/en_transactions/fundamentals/10.1093/ietfec/e91-a.3.891/_p
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@ARTICLE{e91-a_3_891,
author={Toshimitsu OHTANI, Toshimichi SAITO, },
journal={IEICE TRANSACTIONS on Fundamentals},
title={Basic Bifurcation of Artificial Spiking Neurons with Triangular Base Signal},
year={2008},
volume={E91-A},
number={3},
pages={891-894},
abstract={This paper studies a spiking neuron circuit with triangular base signal. The circuit can output rich spike-trains and the dynamics can be analyzed using a one-dimensional piecewise linear map. This system exhibits period doubling bifurcation, tangent bifurcation, super-stable periodic orbit bifurcation and so on. These phenomena can be characterized based on the inter-spike intervals. Using the maps, we can analyze the phenomena precisely. By presenting a simple test circuit, typical phenomena are confirmed experimentally.},
keywords={},
doi={10.1093/ietfec/e91-a.3.891},
ISSN={1745-1337},
month={March},}
Copy
TY - JOUR
TI - Basic Bifurcation of Artificial Spiking Neurons with Triangular Base Signal
T2 - IEICE TRANSACTIONS on Fundamentals
SP - 891
EP - 894
AU - Toshimitsu OHTANI
AU - Toshimichi SAITO
PY - 2008
DO - 10.1093/ietfec/e91-a.3.891
JO - IEICE TRANSACTIONS on Fundamentals
SN - 1745-1337
VL - E91-A
IS - 3
JA - IEICE TRANSACTIONS on Fundamentals
Y1 - March 2008
AB - This paper studies a spiking neuron circuit with triangular base signal. The circuit can output rich spike-trains and the dynamics can be analyzed using a one-dimensional piecewise linear map. This system exhibits period doubling bifurcation, tangent bifurcation, super-stable periodic orbit bifurcation and so on. These phenomena can be characterized based on the inter-spike intervals. Using the maps, we can analyze the phenomena precisely. By presenting a simple test circuit, typical phenomena are confirmed experimentally.
ER -
English
