| Paper Abstract and Keywords |
| Presentation |
2010-10-29 10:55
* Kuniyasu Shimizu (Chiba Inst. of Tech.), Munehisa Sekikawa (Aihara Innovative Mathematical Modeling Project), Naohiko Inaba, Tetsuro Endo (Meiji Univ.), Yuto Saito, Tomoyuki Yamamoto (Chiba Inst. of Tech.) NLP2010-95 |
| Abstract |
(in Japanese) |
(See Japanese page) |
| (in English) |
In this study, a response to a weak perturbation of the Bonhoeffer-van der Pol (BVP) oscillator is investigated.
In the BVP oscillator, subcritical Andronov-Hopf bifurcation is possible when a value of resistance of the oscillator is increased.
Applying an appropriate bias voltage, two solutions (the focus and the periodic solution with large amplitude of oscillation) can coexist within a narrow range.
Then, a response to a weak periodic perturbation of the system is interested in.
As a result, it is revealed that there exist the complicated oscillatory phenomena including the solutions which deserve to be called mixed-mode oscillations. |
| Keyword |
(in Japanese) |
(See Japanese page) |
| (in English) |
The Bonhoeffer-van der Pol oscillator / subcritical Andronov-Hopf bifurcation / Weak periodic perturbation / Mixed-mode oscillations / / / / |
| Reference Info. |
IEICE Tech. Rep., vol. 110, no. 255, NLP2010-95, pp. 81-84, Oct. 2010. |
| Paper # |
NLP2010-95 |
| 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 |
NLP2010-95 |
| 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) |
* |
| Sub Title (in English) |
|
| Keyword(1) |
The Bonhoeffer-van der Pol oscillator |
| Keyword(2) |
subcritical Andronov-Hopf bifurcation |
| Keyword(3) |
Weak periodic perturbation |
| Keyword(4) |
Mixed-mode oscillations |
| Keyword(5) |
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| Keyword(6) |
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| 1st Author's Name |
Kuniyasu Shimizu |
| 1st Author's Affiliation |
Chiba Institute of Technology (Chiba Inst. of Tech.) |
| 2nd Author's Name |
Munehisa Sekikawa |
| 2nd Author's Affiliation |
Aihara Innovative Mathematical Modeling Project, JST, FIRST (Aihara Innovative Mathematical Modeling Project) |
| 3rd Author's Name |
Naohiko Inaba |
| 3rd Author's Affiliation |
Meiji University (Meiji Univ.) |
| 4th Author's Name |
Tetsuro Endo |
| 4th Author's Affiliation |
Meiji University (Meiji Univ.) |
| 5th Author's Name |
Yuto Saito |
| 5th Author's Affiliation |
Chiba Institute of Technology (Chiba Inst. of Tech.) |
| 6th Author's Name |
Tomoyuki Yamamoto |
| 6th Author's Affiliation |
Chiba Institute of Technology (Chiba Inst. of Tech.) |
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| Speaker |
Author-1 |
| Date Time |
2010-10-29 10:55:00 |
| Presentation Time |
25 minutes |
| Registration for |
NLP |
| Paper # |
NLP2010-95 |
| Volume (vol) |
vol.110 |
| Number (no) |
no.255 |
| Page |
pp.81-84 |
| #Pages |
4 |
| Date of Issue |
2010-10-21 (NLP) |