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Paper Abstract and Keywords
Presentation 2026-06-12 14:50
Periodic Orbits and Fixed Points in Simple Discrete-time Hysteresis Neural Networks
Ryoga Nakamura, Ryota Toyama, Moeka Yokose (HU), Kenya Jin'no (TCU), Toshimichi Saio (HU) NLP2026-24 CCS2026-24
Abstract (in Japanese) (See Japanese page) 
(in English) A discrete-time hysteresis neural network is a recurrent neural network consisting of binary hysteresis neurons.
The network is characterized by hysteresis threshold parameters and binary connection parameters.
The dynamics is described by an autonomous difference equation of binary state variable vectors.
Depending on the parameters, the network can generate a variety of periodic orbits including fixed points.
For simplicity, we analyze 6-dimensional systems comprehensively and clarifies generation of global stable periodic orbits and fixed points sets.
These phenomena have wide basin of attraction.
As a fundamental step to engineering applications, an FPGA based hardware prototype is presented and typical phenomena are confirmed experimentally.
Keyword (in Japanese) (See Japanese page) 
(in English) Hysteresis neural networks / / / / / / /  
Reference Info. IEICE Tech. Rep., vol. 126, no. 68, NLP2026-24, pp. 125-129, June 2026.
Paper # NLP2026-24 
Date of Issue 2026-06-04 (NLP, CCS) 
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 NLP2026-24 CCS2026-24

Conference Information
Committee CCS NLP  
Conference Date 2026-06-11 - 2026-06-12 
Place (in Japanese) (See Japanese page) 
Place (in English) I-site Namba 
Topics (in Japanese) (See Japanese page) 
Topics (in English) Nonlinear Problems, Complex Communication Sciences, etc. 
Paper Information
Registration To NLP 
Conference Code 2026-06-CCS-NLP 
Language Japanese 
Title (in Japanese) (See Japanese page) 
Sub Title (in Japanese) (See Japanese page) 
Title (in English) Periodic Orbits and Fixed Points in Simple Discrete-time Hysteresis Neural Networks 
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Keyword(1) Hysteresis neural networks  
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1st Author's Name Ryoga Nakamura  
1st Author's Affiliation HOSEI University (HU)
2nd Author's Name Ryota Toyama  
2nd Author's Affiliation HOSEI University (HU)
3rd Author's Name Moeka Yokose  
3rd Author's Affiliation HOSEI University (HU)
4th Author's Name Kenya Jin'no  
4th Author's Affiliation Tokyo City University (TCU)
5th Author's Name Toshimichi Saio  
5th Author's Affiliation HOSEI University (HU)
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Speaker Author-1 
Date Time 2026-06-12 14:50:00 
Presentation Time 25 minutes 
Registration for NLP 
Paper # NLP2026-24, CCS2026-24 
Volume (vol) vol.126 
Number (no) no.68(NLP), no.69(CCS) 
Page pp.125-129 
#Pages 5 
Date of Issue 2026-06-04 (NLP, CCS) 

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