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Paper Abstract and Keywords
Presentation 2016-07-21 15:45
Mixed-mode oscillation-incrementing bifurcations and universal constant from BVP oscillators Part 3
Naohiko Inaba (Meiji Univ.), Kuniyasu Shimizu (Chiba Inst. Tech.) NLP2016-38
Abstract (in Japanese) (See Japanese page) 
(in English) Mixed-mode oscillations (MMOs) have been the subjects of intensive research in recent years. In this study, we analyze the extended BVP oscillator with a diode that generates MMO-incrementing bifurcations (MMOIBs) successively many times and assert that MMOIBs are caused in a similar manner to that of period-adding bifurcations generated in the circle map. We predict that the universal constant could converge to 1.0. This study clarifies that why each MMO-sequence has a relation to a Farey sequence and is terminated by chaos in the parameter space.
Keyword (in Japanese) (See Japanese page) 
(in English) MMOs / MMO-incrementing bifurcations / extended BVP oscillator / singular perturbation method of idealized diode type / / / /  
Reference Info. IEICE Tech. Rep., vol. 116, no. 151, NLP2016-38, pp. 21-26, July 2016.
Paper # NLP2016-38 
Date of Issue 2016-07-14 (NLP) 
ISSN Print edition: ISSN 0913-5685    Online edition: ISSN 2432-6380
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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 2016-07-21 - 2016-07-22 
Place (in Japanese) (See Japanese page) 
Place (in English) Hokkaido Univ. Centennial Hall 
Topics (in Japanese) (See Japanese page) 
Topics (in English)  
Paper Information
Registration To NLP 
Conference Code 2016-07-NLP 
Language Japanese 
Title (in Japanese) (See Japanese page) 
Sub Title (in Japanese) (See Japanese page) 
Title (in English) Mixed-mode oscillation-incrementing bifurcations and universal constant from BVP oscillators Part 3 
Sub Title (in English)  
Keyword(1) MMOs  
Keyword(2) MMO-incrementing bifurcations  
Keyword(3) extended BVP oscillator  
Keyword(4) singular perturbation method of idealized diode type  
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1st Author's Name Naohiko Inaba  
1st Author's Affiliation Meiji University (Meiji Univ.)
2nd Author's Name Kuniyasu Shimizu  
2nd Author's Affiliation Chiba Institute of Technology (Chiba Inst. Tech.)
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Speaker Author-1 
Date Time 2016-07-21 15:45:00 
Presentation Time 25 minutes 
Registration for NLP 
Paper # NLP2016-38 
Volume (vol) vol.116 
Number (no) no.151 
Page pp.21-26 
#Pages
Date of Issue 2016-07-14 (NLP) 


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