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Paper Abstract and Keywords
Presentation 2025-06-13 11:20
Stability of binary periodic orbits in Mixed-rule Cellular Automata
Hiro Isobe, Kazuma Matsudhita, Toshimichi Saito (HU) NLP2025-18 CCS2025-18
Abstract (in Japanese) (See Japanese page) 
(in English) This paper studies mixed-rule cellular automata (MCA) governed by two rules of simple Boolean functions.
Depending on the rules, the MCA can generate various periodic orbit of binary vectors.
As a typical example, we consider a periodic orbit corresponding to a control signal of hexapod walking robots.
In order to analyze stability of the periodic orbits, we introduce a simple feature quantity.
In order to visualize dynamics of the MCA, we introduce the digital return map.
We have discovered suitable rule pairs in which the MCA generates a strong stable peridic orbit. Such a periodic orbit is impossible in elementary cellular automata.
Applying an exhaustive search, we have found several rule pairs that causes complete stability.
Keyword (in Japanese) (See Japanese page) 
(in English) cellalar atuoamta / periodic orbit / stability / hexapod walking robot / exhaustive search / / /  
Reference Info. IEICE Tech. Rep., vol. 125, no. 69, NLP2025-18, pp. 63-66, June 2025.
Paper # NLP2025-18 
Date of Issue 2025-06-05 (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 NLP2025-18 CCS2025-18

Conference Information
Committee CCS NLP  
Conference Date 2025-06-12 - 2025-06-13 
Place (in Japanese) (See Japanese page) 
Place (in English) NPD Kashikaigishitsu 
Topics (in Japanese) (See Japanese page) 
Topics (in English) Nonlinear Problems, Complex Communication Sciences, etc. 
Paper Information
Registration To NLP 
Conference Code 2025-06-CCS-NLP 
Language Japanese 
Title (in Japanese) (See Japanese page) 
Sub Title (in Japanese) (See Japanese page) 
Title (in English) Stability of binary periodic orbits in Mixed-rule Cellular Automata 
Sub Title (in English)  
Keyword(1) cellalar atuoamta  
Keyword(2) periodic orbit  
Keyword(3) stability  
Keyword(4) hexapod walking robot  
Keyword(5) exhaustive search  
Keyword(6)  
Keyword(7)  
Keyword(8)  
1st Author's Name Hiro Isobe  
1st Author's Affiliation HOSEI University (HU)
2nd Author's Name Kazuma Matsudhita  
2nd Author's Affiliation HOSEI University (HU)
3rd Author's Name Toshimichi Saito  
3rd Author's Affiliation HOSEI University (HU)
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Speaker Author-1 
Date Time 2025-06-13 11:20:00 
Presentation Time 25 minutes 
Registration for NLP 
Paper # NLP2025-18, CCS2025-18 
Volume (vol) vol.125 
Number (no) no.69(NLP), no.70(CCS) 
Page pp.63-66 
#Pages 4 
Date of Issue 2025-06-05 (NLP, CCS) 

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