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Paper Abstract and Keywords
Presentation 2010-10-28 16:15
Chaos via torus breakdown in a four-dimensional oscillator with two diodes
Naohiko Inaba (Meiji Univ.), Yoshifumi Nishio (Tokushima Univ.), Tetsuro Endo (Meiji Univ.) NLP2010-91
Abstract (in Japanese) (See Japanese page) 
(in English) By using a remarkably simple and natural degeneration technique, the
mechanism of chaos via torus breakdown observed in a simple
four-dimensional autonomous circuit including two diodes is
investigated rigorously in this paper. The idealized case where the
diodes are assumed to operate as switches is considered. In this case,
the governing equation is represented by a constrained equation, and
the Poincar\'e mapping is derived rigorously as the circle map. The
torus breakdown in the four-dimensional autonomous circuit is well
explained by the Poincar\'e mapping. The theoretical results are
verified by laboratory experiment.
Keyword (in Japanese) (See Japanese page) 
(in English) chaos / torus / 4-dimensional autonomous circuit / / / / /  
Reference Info. IEICE Tech. Rep., vol. 110, no. 255, NLP2010-91, pp. 57-61, Oct. 2010.
Paper # NLP2010-91 
Date of Issue 2010-10-21 (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)
Download PDF NLP2010-91

Conference Information
Committee NLP  
Conference Date 2010-10-28 - 2010-10-29 
Place (in Japanese) (See Japanese page) 
Place (in English) Osaka University Machikaneyama Hall 
Topics (in Japanese) (See Japanese page) 
Topics (in English) General 
Paper Information
Registration To NLP 
Conference Code 2010-10-NLP 
Language Japanese 
Title (in Japanese) (See Japanese page) 
Sub Title (in Japanese) (See Japanese page) 
Title (in English) Chaos via torus breakdown in a four-dimensional oscillator with two diodes 
Sub Title (in English)  
Keyword(1) chaos  
Keyword(2) torus  
Keyword(3) 4-dimensional autonomous circuit  
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1st Author's Name Naohiko Inaba  
1st Author's Affiliation Meiji University (Meiji Univ.)
2nd Author's Name Yoshifumi Nishio  
2nd Author's Affiliation Tokushima University (Tokushima Univ.)
3rd Author's Name Tetsuro Endo  
3rd Author's Affiliation Meiji University (Meiji Univ.)
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Speaker Author-1 
Date Time 2010-10-28 16:15:00 
Presentation Time 25 minutes 
Registration for NLP 
Paper # NLP2010-91 
Volume (vol) vol.110 
Number (no) no.255 
Page pp.57-61 
#Pages 5 
Date of Issue 2010-10-21 (NLP) 

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