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Paper Abstract and Keywords
Presentation 2012-10-05 16:35
Dynamical Systems Design of Silicon Neurons based on Phase Reduction Theory
Kazuki Nakada (Kyushu Univ.), Keiji Miura (Tohoku Univ.), Tetsuya Asai (Hokkaido Univ.) NC2012-60
Abstract (in Japanese) (See Japanese page) 
(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) 
(in English) Silicon neuron (SiN) / Dynamical systems design / Phase reduction / Resonate-and-fire neuron (RFN) circuit / Phase synchronization / / /  
Reference Info. IEICE Tech. Rep., vol. 112, no. 227, NC2012-60, pp. 139-144, Oct. 2012.
Paper # NC2012-60 
Date of Issue 2012-09-27 (NC) 
ISSN Print edition: ISSN 0913-5685    Online edition: ISSN 2432-6380
Copyright
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reproduction
All rights are reserved and no part of this publication may be reproduced or transmitted in any form or by any means, electronic or mechanical, including photocopy, recording, or any information storage and retrieval system, without permission in writing from the publisher. Notwithstanding, instructors are permitted to photocopy isolated articles for noncommercial classroom use without fee. (License No.: 10GA0019/12GB0052/13GB0056/17GB0034/18GB0034)
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Conference Information
Committee NC  
Conference Date 2012-10-04 - 2012-10-05 
Place (in Japanese) (See Japanese page) 
Place (in English) Kyushu Institute of Technology (Wakamatsu Campus) 
Topics (in Japanese) (See Japanese page) 
Topics (in English) Implementation of neurocomputing, modeling for human science, and general 
Paper Information
Registration To NC 
Conference Code 2012-10-NC 
Language Japanese 
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  
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1st Author's Name Kazuki Nakada  
1st Author's Affiliation Kyushu University (Kyushu Univ.)
2nd Author's Name Keiji Miura  
2nd Author's Affiliation Tohoku University (Tohoku Univ.)
3rd Author's Name Tetsuya Asai  
3rd Author's Affiliation Hokkaido University (Hokkaido Univ.)
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Speaker Author-1 
Date Time 2012-10-05 16:35:00 
Presentation Time 25 minutes 
Registration for NC 
Paper # NC2012-60 
Volume (vol) vol.112 
Number (no) no.227 
Page pp.139-144 
#Pages
Date of Issue 2012-09-27 (NC) 


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