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Paper Abstract and Keywords
Presentation 2016-03-25 13:00
Derivation of equations of motion and numerical analysis of spider linkages
Nozomi Akashi, Syuji Miyazaki (Kyoto Univ) NLP2015-154
Abstract (in Japanese) (See Japanese page) 
(in English) Hhyperbolic system theorem is well understood chaos theory.
The free motion (i.e. no friction and no potential) of the triple linkage of Hunt - MacKay was proved to be an Anosov system, a special case of Axiom A systems.
In this paper, we derive the equation of free motion under constraints in a class of spider linkage, which includes the triple linkage, and we propose a method to calculate lyapunov exponent of a constraint system or conservative system.
We comfirm the equations of motion is numerically analyzed to yield periodic and chaotic
dynamics.
In addition, we quantitatively estimate chaotic property of the system by calculating the Lyapunov exponent.
Keyword (in Japanese) (See Japanese page) 
(in English) dynamical system / conservative system / Anosov system / chaos / Lyapunov exponent / / /  
Reference Info. IEICE Tech. Rep., vol. 115, no. 515, NLP2015-154, pp. 69-74, March 2016.
Paper # NLP2015-154 
Date of Issue 2016-03-17 (NLP) 
ISSN Print edition: ISSN 0913-5685    Online edition: ISSN 2432-6380
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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 NLP  
Conference Date 2016-03-24 - 2016-03-25 
Place (in Japanese) (See Japanese page) 
Place (in English) Kyoto Sangyo Univ. 
Topics (in Japanese) (See Japanese page) 
Topics (in English)  
Paper Information
Registration To NLP 
Conference Code 2016-03-NLP 
Language Japanese 
Title (in Japanese) (See Japanese page) 
Sub Title (in Japanese) (See Japanese page) 
Title (in English) Derivation of equations of motion and numerical analysis of spider linkages 
Sub Title (in English)  
Keyword(1) dynamical system  
Keyword(2) conservative system  
Keyword(3) Anosov system  
Keyword(4) chaos  
Keyword(5) Lyapunov exponent  
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Keyword(8)  
1st Author's Name Nozomi Akashi  
1st Author's Affiliation Kyoto University (Kyoto Univ)
2nd Author's Name Syuji Miyazaki  
2nd Author's Affiliation Kyoto University (Kyoto Univ)
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Speaker Author-1 
Date Time 2016-03-25 13:00:00 
Presentation Time 25 minutes 
Registration for NLP 
Paper # NLP2015-154 
Volume (vol) vol.115 
Number (no) no.515 
Page pp.69-74 
#Pages
Date of Issue 2016-03-17 (NLP) 


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