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Paper Abstract and Keywords
Presentation 2019-10-12 11:20
Composition of the digital spike maps based on SOM
Yuya Sawano, Toshimichi Saito (HU) MBE2019-42 NC2019-33
Abstract (in Japanese) (See Japanese page) 
(in English) A digital spike map (Dmap) is a simple digital dynamical system defined on a set of points. The
steady state of the Dmap must be a periodic orbit. Depending on parameters and initial conditions, the Dmap
can generate various periodic orbits. The Dmap is related to various nonlinear systems such as cellular automata,
digital spiking neurons, and dynamic binary neural networks. The applications include digital communications and
switching circuit control. In this paper, in order to construct a Dmap, we present a learning algorithm based on
the self-organizing feature map (SOM). As an input signal is applied, the learning algorithm updates the closest
element of the map and its neighbors by interpolation. Quantizing the map after the learning, we obtain a Dmap.
As a typical example of input signal, a chaotic signal generated from the bifurcating neuron is used. In order to
analyze the dynamics of the Dmap, we introduce two feature quantities. The first quantity characterizes the ratio
of periodic points. The second quantity characterizes the ratio of periodic orbits. Using the two feature quantities,
we analyze the behavior of typical Dmaps. The results provide basic information for analysis of nonlinear digital
dynamical systems and its engineering applications.
Keyword (in Japanese) (See Japanese page) 
(in English) digital dynamical systems / periodic orbits / stability / / / / /  
Reference Info. IEICE Tech. Rep., vol. 119, no. 225, NC2019-33, pp. 65-65, Oct. 2019.
Paper # NC2019-33 
Date of Issue 2019-10-04 (MBE, NC) 
ISSN Print edition: ISSN 0913-5685  Online edition: ISSN 2432-6380
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)
Download PDF MBE2019-42 NC2019-33

Conference Information
Committee MBE NC  
Conference Date 2019-10-11 - 2019-10-12 
Place (in Japanese) (See Japanese page) 
Place (in English)  
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Paper Information
Registration To NC 
Conference Code 2019-10-MBE-NC 
Language Japanese 
Title (in Japanese) (See Japanese page) 
Sub Title (in Japanese) (See Japanese page) 
Title (in English) Composition of the digital spike maps based on SOM 
Sub Title (in English)  
Keyword(1) digital dynamical systems  
Keyword(2) periodic orbits  
Keyword(3) stability  
1st Author's Name Yuya Sawano  
1st Author's Affiliation Hosei University (HU)
2nd Author's Name Toshimichi Saito  
2nd Author's Affiliation Hosei University (HU)
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Date Time 2019-10-12 11:20:00 
Presentation Time 25 
Registration for NC 
Paper # IEICE-MBE2019-42,IEICE-NC2019-33 
Volume (vol) IEICE-119 
Number (no) no.224(MBE), no.225(NC) 
Page p.65 
#Pages IEICE-1 
Date of Issue IEICE-MBE-2019-10-04,IEICE-NC-2019-10-04 

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