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Paper Abstract and Keywords
Presentation 2014-07-21 13:00
Four-dimensional torus and its Arnold resonance web: part 2
Shuya Hidaka, Naohiko Inaba, Kyohei Kamiyama (Meiji Univ.), Munehisa Sekikawa (Utsunomiya Univ.), Tetsuro Endo (Meiji Univ.) NLP2014-31
Abstract (in Japanese) (See Japanese page) 
(in English) In this study, we investigate an Arnold resonance web generated in a three-coupled delayed logistic map that exhibits an invariant three-torus (IT3), which corresponds to a four-torus in vector fi elds. There exists a transition from an invariant two-torus (IT2) to IT3 that should be called a quasi- periodic Hopf (QH) bifurcation of IT2, and clarify that it occurs when a fixed point bifurcates to an invariant closed curve on the triple Poincare map. In addition, we confi rm that another bifurcation route from IT2 to IT3 exists that should be called a quasi-periodic saddle-node bifurcation.
Keyword (in Japanese) (See Japanese page) 
(in English) four-torus / Arnold resonance web / nonlinear dynamics / / / / /  
Reference Info. IEICE Tech. Rep., vol. 114, no. 145, NLP2014-31, pp. 1-6, July 2014.
Paper # NLP2014-31 
Date of Issue 2014-07-14 (NLP) 
ISSN Print edition: ISSN 0913-5685    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)
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Conference Information
Committee NLP  
Conference Date 2014-07-21 - 2014-07-22 
Place (in Japanese) (See Japanese page) 
Place (in English) Hakodate City Central Library 
Topics (in Japanese) (See Japanese page) 
Topics (in English) Nonlinear Problems, etc. 
Paper Information
Registration To NLP 
Conference Code 2014-07-NLP 
Language Japanese 
Title (in Japanese) (See Japanese page) 
Sub Title (in Japanese) (See Japanese page) 
Title (in English) Four-dimensional torus and its Arnold resonance web: part 2 
Sub Title (in English)  
Keyword(1) four-torus  
Keyword(2) Arnold resonance web  
Keyword(3) nonlinear dynamics  
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1st Author's Name Shuya Hidaka  
1st Author's Affiliation Meiji Univercity (Meiji Univ.)
2nd Author's Name Naohiko Inaba  
2nd Author's Affiliation Meiji Univercity (Meiji Univ.)
3rd Author's Name Kyohei Kamiyama  
3rd Author's Affiliation Meiji Univercity (Meiji Univ.)
4th Author's Name Munehisa Sekikawa  
4th Author's Affiliation Utsunomiya Univercity (Utsunomiya Univ.)
5th Author's Name Tetsuro Endo  
5th Author's Affiliation Meiji Univercity (Meiji Univ.)
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Speaker Author-1 
Date Time 2014-07-21 13:00:00 
Presentation Time 25 minutes 
Registration for NLP 
Paper # NLP2014-31 
Volume (vol) vol.114 
Number (no) no.145 
Page pp.1-6 
#Pages 6 
Date of Issue 2014-07-14 (NLP) 

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