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Paper Abstract and Keywords
Presentation 2013-12-06 17:05
Bifurcation boundaries of quasi-periodic oscillation : part II
Yoshimasa Shinotsuka, Kyohei Kamiyama, Naohiko Inaba (Meiji Univ.), Munehisa Sekikawa (Utsunomiya Univ.), Tetsuro Endo (Meiji Univ.) NLP2013-120
Abstract (in Japanese) (See Japanese page) 
(in English) A one-dimensional invariant closed curve (ICC), corresponding to a two-torus in vector fields, and a two-dimensional invariant torus (IT),
corresponding to a three-torus have been areas of intense research recently.
We define a double Poincar'e map. An ICC becomes a fixed point on the map, and an IT forms an invariant closed curve on the map.
We theoretically derive a boundary between regions generating an ICC and an IT on the double Poincar'e map by a bisection method, and confirm that the bifurcation boundary completely coincides with one in the two-parameter bifurcation diagram that is obtained by a sufficient Lyapunov analysis.
Keyword (in Japanese) (See Japanese page) 
(in English) two-dimensional torus / three-dimensional torus / nonlinear dynamics / / / / /  
Reference Info. IEICE Tech. Rep., vol. 113, no. 341, NLP2013-120, pp. 41-44, Dec. 2013.
Paper # NLP2013-120 
Date of Issue 2013-11-29 (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 2013-12-06 - 2013-12-07 
Place (in Japanese) (See Japanese page) 
Place (in English) City University of Hong Kong 
Topics (in Japanese) (See Japanese page) 
Topics (in English) General 
Paper Information
Registration To NLP 
Conference Code 2013-12-NLP 
Language English (Japanese title is available) 
Title (in Japanese) (See Japanese page) 
Sub Title (in Japanese) (See Japanese page) 
Title (in English) Bifurcation boundaries of quasi-periodic oscillation : part II 
Sub Title (in English)  
Keyword(1) two-dimensional torus  
Keyword(2) three-dimensional torus  
Keyword(3) nonlinear dynamics  
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1st Author's Name Yoshimasa Shinotsuka  
1st Author's Affiliation Meiji University (Meiji Univ.)
2nd Author's Name Kyohei Kamiyama  
2nd Author's Affiliation Meiji University (Meiji Univ.)
3rd Author's Name Naohiko Inaba  
3rd Author's Affiliation Meiji University (Meiji Univ.)
4th Author's Name Munehisa Sekikawa  
4th Author's Affiliation Utsunomiya University (Utsunomiya Univ.)
5th Author's Name Tetsuro Endo  
5th Author's Affiliation Meiji University (Meiji Univ.)
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Speaker Author-1 
Date Time 2013-12-06 17:05:00 
Presentation Time 25 minutes 
Registration for NLP 
Paper # NLP2013-120 
Volume (vol) vol.113 
Number (no) no.341 
Page pp.41-44 
#Pages 4 
Date of Issue 2013-11-29 (NLP) 

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