| Presentation | 2012-10-05 Dynamical Systems Design of Silicon Neurons based on Phase Reduction Theory Kazuki NAKADA, Keiji MIURA, Tetsuya ASAI, |
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| Abstract(in Japanese) | (See Japanese page) |
| Abstract(in English) | Recently, dynamical systems design approaches based the mathematical structure of nonlinear systems have been developed. In the dynamical systems design, the mathematical structure of target devices and circuits are analyzed as a dynamical system, and the qualitative nature of the devices and circuits are implemented to reproduce desirable dynamical behaviors on a practical physical platform. In terms of the mathematical structures embedded in the devices and circuits, the dynamical systems approaches can be classified as: the phase plane and nullcline-based design, the potential based design, and the phase response curve-based design. In this report, we apply the third approach to designing silicon neurons (SiNs) from the viewpoint of the phase reduction theory. Firstly we clarify design criteria by analyzing the phase response properties of various SiNs presented in previous works. Secondly, we design the resonate-and-fire neuron (RFN) circuit as a specific target SiN according to the criteria. Finally, we show that the synchronization properties of a fully-connected network of the RFN circuits with transmission delays can be improved by tuning the phase response properties of the element circuit. |
| Keyword(in Japanese) | (See Japanese page) |
| Keyword(in English) | Silicon neuron (SiN) / Dynamical systems design / Phase reduction / Resonate-and-fire neuron (RFN) circuit / Phase synchronization |
| Paper # | NC2012-60 |
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| Conference Information | |
| Committee | NC |
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| Conference Date | 2012/9/27(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) | Dynamical Systems Design of Silicon Neurons based on Phase Reduction Theory |
| Sub Title (in English) | |
| Keyword(1) | Silicon neuron (SiN) |
| Keyword(2) | Dynamical systems design |
| Keyword(3) | Phase reduction |
| Keyword(4) | Resonate-and-fire neuron (RFN) circuit |
| Keyword(5) | Phase synchronization |
| 1st Author's Name | Kazuki NAKADA |
| 1st Author's Affiliation | INAMORI Frontier Research Center, Kyushu University() |
| 2nd Author's Name | Keiji MIURA |
| 2nd Author's Affiliation | Collaborative Mathematics Research Unit, Graduate School of Information Sciences, Tohoku University |
| 3rd Author's Name | Tetsuya ASAI |
| 3rd Author's Affiliation | Graduate School of Information Science and Technology, Hokkaido University |
| Date | 2012-10-05 |
| Paper # | NC2012-60 |
| Volume (vol) | vol.112 |
| Number (no) | 227 |
| Page | pp.pp.- |
| #Pages | 6 |
| Date of Issue | |