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Paper Abstract and Keywords
Presentation 2016-12-13 09:55
Arnol'd resonance web and Chenciner bubbles in 3-dimensional piecewise-constant oscillator
Tri Quoc Truong, Tadashi Tsubone (Nagaoka Univ. of Tech.), Munehisa Sekikawa (Utsunomiya Univ.), Naohiko Inaba, Tetsuro Endo (Meiji Univ.) NLP2016-93
Abstract (in Japanese) (See Japanese page) 
(in English) We analyze quasiperiodic bifurcation of a 3-dimensional piecewise-constant oscillator (PWCO).Because vector fields of PWCO are piecewise-constants, it is relatively easy to perform rigorous analysis. By using a calculation algorithm for deriving Lyapunov exponents in autonomous PWCOs proposed in previous study,we conducted two-parameter Lyapunov diagrams.
According to the numerical results, Arnol'd resonance web and the hysteresis phenomenon is observed.It is clearly showed that the hysteresis phenomenon erodes the Chenciner bubbles.
Keyword (in Japanese) (See Japanese page) 
(in English) Piecewise-constant oscillator / quasiperiodic / Arnol'd resonance web / Chenciner bubbles / Lyapunov analysis / / /  
Reference Info. IEICE Tech. Rep., vol. 116, no. 353, NLP2016-93, pp. 49-54, Dec. 2016.
Paper # NLP2016-93 
Date of Issue 2016-12-05 (NLP) 
ISSN Print edition: ISSN 0913-5685    Online edition: ISSN 2432-6380
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 2016-12-12 - 2016-12-13 
Place (in Japanese) (See Japanese page) 
Place (in English) Chukyo Univ. 
Topics (in Japanese) (See Japanese page) 
Topics (in English)  
Paper Information
Registration To NLP 
Conference Code 2016-12-NLP 
Language English (Japanese title is available) 
Title (in Japanese) (See Japanese page) 
Sub Title (in Japanese) (See Japanese page) 
Title (in English) Arnol'd resonance web and Chenciner bubbles in 3-dimensional piecewise-constant oscillator 
Sub Title (in English)  
Keyword(1) Piecewise-constant oscillator  
Keyword(2) quasiperiodic  
Keyword(3) Arnol'd resonance web  
Keyword(4) Chenciner bubbles  
Keyword(5) Lyapunov analysis  
1st Author's Name Tri Quoc Truong  
1st Author's Affiliation Nagaoka University of Technology (Nagaoka Univ. of Tech.)
2nd Author's Name Tadashi Tsubone  
2nd Author's Affiliation Nagaoka University of Technology (Nagaoka Univ. of Tech.)
3rd Author's Name Munehisa Sekikawa  
3rd Author's Affiliation Utsunomiya University (Utsunomiya Univ.)
4th Author's Name Naohiko Inaba  
4th Author's Affiliation Meiji University (Meiji Univ.)
5th Author's Name Tetsuro Endo  
5th Author's Affiliation Meiji University (Meiji Univ.)
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Speaker Author-1 
Date Time 2016-12-13 09:55:00 
Presentation Time 25 minutes 
Registration for NLP 
Paper # NLP2016-93 
Volume (vol) vol.116 
Number (no) no.353 
Page pp.49-54 
Date of Issue 2016-12-05 (NLP) 

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