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Paper Abstract and Keywords
Presentation 2012-11-19 16:45
Observality of n-torus Arnold tongue in high dimensional dynamics
Yoshimasa Shinotsuka, Naohiko Inaba (Meiji Univ.), Munehisa Sekikawa (Univ. of Tokyo), Tetsuro Endo (Meiji Univ.) NLP2012-83
Abstract (in Japanese) (See Japanese page) 
(in English) In this study, we discuss the possibility of the generation of $n$-torus Arnold tongue inside $(n+1)$ torus-generating region. We have discovered and named $2$-torus Arnold tongue inside the $3$-torus Arnold tongue generated in a 6-dimensional autonomous circuit. The 2-torus Arnold tongue refers to a bifurcation behavior that 2-tori exist similar to the periodic states in 2-torus generating region like an Arnold tongue. We study the discrete dynamics generating a 4-torus and find the bifurcation structure a 3-torus Arnold tongue. This result suggests that the generation of the bifurcation structure $n$-torus Arnold tongue exists inside $(n+1)$-torus.
Keyword (in Japanese) (See Japanese page) 
(in English) nonlinear dynamics / high-dimensional torus / n-torus Arnold tongue / / / / /  
Reference Info. IEICE Tech. Rep., vol. 112, no. 301, NLP2012-83, pp. 39-42, Nov. 2012.
Paper # NLP2012-83 
Date of Issue 2012-11-12 (NLP) 
ISSN Print edition: ISSN 0913-5685    Online edition: ISSN 2432-6380
Copyright
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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)
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Conference Information
Committee NLP  
Conference Date 2012-11-19 - 2012-11-20 
Place (in Japanese) (See Japanese page) 
Place (in English) Ishinomaki Senshu University 
Topics (in Japanese) (See Japanese page) 
Topics (in English) General 
Paper Information
Registration To NLP 
Conference Code 2012-11-NLP 
Language Japanese 
Title (in Japanese) (See Japanese page) 
Sub Title (in Japanese) (See Japanese page) 
Title (in English) Observality of n-torus Arnold tongue in high dimensional dynamics 
Sub Title (in English)  
Keyword(1) nonlinear dynamics  
Keyword(2) high-dimensional torus  
Keyword(3) n-torus Arnold tongue  
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1st Author's Name Yoshimasa Shinotsuka  
1st Author's Affiliation Meiji University (Meiji Univ.)
2nd Author's Name Naohiko Inaba  
2nd Author's Affiliation Meiji University (Meiji Univ.)
3rd Author's Name Munehisa Sekikawa  
3rd Author's Affiliation the University of Tokyo (Univ. of Tokyo)
4th Author's Name Tetsuro Endo  
4th Author's Affiliation Meiji University (Meiji Univ.)
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Speaker Author-1 
Date Time 2012-11-19 16:45:00 
Presentation Time 25 minutes 
Registration for NLP 
Paper # NLP2012-83 
Volume (vol) vol.112 
Number (no) no.301 
Page pp.39-42 
#Pages 4 
Date of Issue 2012-11-12 (NLP) 

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