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Paper Abstract and Keywords
Presentation 2020-01-31 16:30
Mixed-mode oscillations and MMO-incrementing bifurcation generated by a extended Bonhoeffer--van der Pol oscillator including a diode
Yuta Nagata (Meiji Univ.), Hideaki Okazaki (Shonan Inst. Tech.), Naohiko Inaba (Meiji Univ.), Takuji Kousaka (Chukyo Univ.), Tadashi Tsubone (Nagaoka Univ. Tech.), Kuniyasu Shimizu (Chiba. Inst. Tech.), Tetsuro Endo (Meiji Univ.) CAS2019-95 ICTSSL2019-64
Abstract (in Japanese) (See Japanese page) 
(in English) An extended Bonhoeffer--van der Pol (BVP) oscillator is a circuit that is naturally extended to a three-variable system from a two-variable BVP oscillator.
In this study, we consider the case where the nonlinear conductor in the extended BVP oscillator includes an idealized diode.
The idealized case corresponds to a degenerate case where one of the parameters tends to infinity and the circuit dynamics are represented by a constrained equation with grazing-sliding characteristics, and the Poincar'e return maps can be constructed as 1D (one-dimensional) ones.
By using these 1D return maps, we explain the various phenomena such as simple MMOs and mixed-mode oscillation-incrementing bifurcations.
Furthermore, these theoretical results are verified in laboratory measurements.
Keyword (in Japanese) (See Japanese page) 
(in English) Mixed-mode oscillations / MMO-incrementing bifurcations / an extended BVP oscillator / constrained circuit dynamics with an idealized diode / / / /  
Reference Info. IEICE Tech. Rep., vol. 119, no. 400, CAS2019-95, pp. 157-162, Jan. 2020.
Paper # CAS2019-95 
Date of Issue 2020-01-23 (CAS, ICTSSL) 
ISSN Print edition: ISSN 0913-5685    Online edition: ISSN 2432-6380
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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 ICTSSL CAS  
Conference Date 2020-01-30 - 2020-01-31 
Place (in Japanese) (See Japanese page) 
Place (in English)  
Topics (in Japanese) (See Japanese page) 
Topics (in English)  
Paper Information
Registration To CAS 
Conference Code 2020-01-ICTSSL-CAS 
Language Japanese 
Title (in Japanese) (See Japanese page) 
Sub Title (in Japanese) (See Japanese page) 
Title (in English) Mixed-mode oscillations and MMO-incrementing bifurcation generated by a extended Bonhoeffer--van der Pol oscillator including a diode 
Sub Title (in English)  
Keyword(1) Mixed-mode oscillations  
Keyword(2) MMO-incrementing bifurcations  
Keyword(3) an extended BVP oscillator  
Keyword(4) constrained circuit dynamics with an idealized diode  
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1st Author's Name Yuta Nagata  
1st Author's Affiliation Meiji University (Meiji Univ.)
2nd Author's Name Hideaki Okazaki  
2nd Author's Affiliation Shonan Institute of TechnologY (Shonan Inst. Tech.)
3rd Author's Name Naohiko Inaba  
3rd Author's Affiliation Meiji University (Meiji Univ.)
4th Author's Name Takuji Kousaka  
4th Author's Affiliation Chukyo University (Chukyo Univ.)
5th Author's Name Tadashi Tsubone  
5th Author's Affiliation Nagaoka University of Technology (Nagaoka Univ. Tech.)
6th Author's Name Kuniyasu Shimizu  
6th Author's Affiliation Chiba Institute of Technology (Chiba. Inst. Tech.)
7th Author's Name Tetsuro Endo  
7th Author's Affiliation Meiji University (Meiji Univ.)
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Speaker Author-1 
Date Time 2020-01-31 16:30:00 
Presentation Time 25 minutes 
Registration for CAS 
Paper # CAS2019-95, ICTSSL2019-64 
Volume (vol) vol.119 
Number (no) no.400(CAS), no.401(ICTSSL) 
Page pp.157-162 
#Pages 6 
Date of Issue 2020-01-23 (CAS, ICTSSL) 

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