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| Presentation | 2019-10-12 11:20 Composition of the digital spike maps based on SOM Yuya Sawano, Toshimichi Saito (HU)  MBE2019-42 NC2019-33 |
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| 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. |
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| 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 | Online edition: ISSN 2432-6380 | |
| Copyright and 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) | |
| Download PDF | MBE2019-42 NC2019-33 |
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| Conference Information | |
| Committee | MBE NC |
| Conference Date | 2019-10-11 - 2019-10-12 |
| Place (in Japanese) | (See Japanese page) |
| Place (in English) | |
| Topics (in Japanese) | (See Japanese page) |
| Topics (in English) | |
| 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 |
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| 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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| Speaker | Author-1 |
| Date Time | 2019-10-12 11:20:00 |
| Presentation Time | 25 minutes |
| Registration for | NC |
| Paper # | MBE2019-42, NC2019-33 |
| Volume (vol) | vol.119 |
| Number (no) | no.224(MBE), no.225(NC) |
| Page | p.65 |
| #Pages | 1 |
| Date of Issue | 2019-10-04 (MBE, NC) |
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