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Paper Abstract and Keywords
Presentation 2010-08-02 13:20
Experimental Study of Mixed-Mode Oscillations in a Slow-Fast Dynamical Circuit
Naohiko Inaba (Meiji Univ.), Munehisa Sekikawa (JST), Tetsuya Yoshinaga, Ken'ichi Fujimoto (Univ. of Tokushima), Takashi Tsubouchi (Univ. of Tsukuba), Tetsuro Endo (Meiji Univ.) CAS2010-39 NLP2010-55
Abstract (in Japanese) (See Japanese page) 
(in English) In this paper, we discuss the observability of mixed-mode oscillations(MMOs) in a slow-fast dynamical circuit. Our model is the extended
Bonhoeffer van der Pol oscillator. A motivation of our research work
presented in this paper is that it is very hard to observe MMOs from
this oscillator and chaotic behaviors are often observed in laboratory
experiments even though MMOs should be often observed in numerical
simulation for the oscillator. Our hypothesis for this phenomena is that
the MMOs are submerged by chaos because of noises which are induced in
the surrounding of the experimental circuits. Such noise will drive the
circuit and it might cause the submergence of MMOs in chaotic behavior.
To explain our observed experimental experiences, we propose to
analyze a third order oscillator under weak periodic perturbation as
noise. Our numerical simulations show that chaos is
generated in place of mixed-mode oscillations under very weak periodic
perturbation. We draw a two-parameter
bifurcation diagram. In this bifurcation diagram, it is found that
period-doubling bifurcations take place when the amplitude of the
periodic perturbation is extremely small. We can explain the chaos
generation observed in experiment by these period-doubling
bifurcations.
Keyword (in Japanese) (See Japanese page) 
(in English) mixed-mode oscillations / chaos / / / / / /  
Reference Info. IEICE Tech. Rep., vol. 110, no. 166, NLP2010-55, pp. 35-38, Aug. 2010.
Paper # NLP2010-55 
Date of Issue 2010-07-26 (CAS, 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 CAS2010-39 NLP2010-55

Conference Information
Committee NLP CAS  
Conference Date 2010-08-02 - 2010-08-03 
Place (in Japanese) (See Japanese page) 
Place (in English) Naruto University of Education 
Topics (in Japanese) (See Japanese page) 
Topics (in English) General 
Paper Information
Registration To NLP 
Conference Code 2010-08-NLP-CAS 
Language Japanese 
Title (in Japanese) (See Japanese page) 
Sub Title (in Japanese) (See Japanese page) 
Title (in English) Experimental Study of Mixed-Mode Oscillations in a Slow-Fast Dynamical Circuit 
Sub Title (in English)  
Keyword(1) mixed-mode oscillations  
Keyword(2) chaos  
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1st Author's Name Naohiko Inaba  
1st Author's Affiliation Meiji University (Meiji Univ.)
2nd Author's Name Munehisa Sekikawa  
2nd Author's Affiliation Institute of Industrial Science (JST)
3rd Author's Name Tetsuya Yoshinaga  
3rd Author's Affiliation The University of Tokushima (Univ. of Tokushima)
4th Author's Name Ken'ichi Fujimoto  
4th Author's Affiliation The University of Tokushima (Univ. of Tokushima)
5th Author's Name Takashi Tsubouchi  
5th Author's Affiliation University of Tsukuba (Univ. of Tsukuba)
6th Author's Name Tetsuro Endo  
6th Author's Affiliation Meiji University (Meiji Univ.)
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Speaker Author-1 
Date Time 2010-08-02 13:20:00 
Presentation Time 25 minutes 
Registration for NLP 
Paper # CAS2010-39, NLP2010-55 
Volume (vol) vol.110 
Number (no) no.165(CAS), no.166(NLP) 
Page pp.35-38 
#Pages 4 
Date of Issue 2010-07-26 (CAS, NLP) 

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