Paper Abstract and Keywords |
Presentation |
2012-11-19 16:20
Death of an extremely small periodic solution and stable relaxation oscillation in a constrained BVP oscillator under weak periotic pertubation Daisuke Iwasaki, Yoshimasa Shinotsuka, Naohiko Inaba (Meiji Univ.), Munehisa Sekikawa (Univ. of Tokyo), Tetsuro Endo (Meiji Univ.) NLP2012-82 |
Abstract |
(in Japanese) |
(See Japanese page) |
(in English) |
This paper rigorously analyzes a four-segment piecewise linear constraint BVP oscillator under weak periodic perturbation. The parameter values are chosen such that stable focus and stable relaxation oscillation coexist in the absence of perturbation. When perturbation is applied, the stable relaxation oscillation disappears in a wide parameter range. However, the solution that stays near the stable focus disappears when the amplitude of periodic perturbation becomes large. From a degenerate dynamical system, Poincar\'e map is derived rigorously as a one-dimensional map. By the analysis of the one-dimensional map, it is shown that ``interval to solution near the stable focus'' vanishes. It explains the disappearance of the solution near the stable focus and the generation of the stable relaxation oscillation. The manner of this disappearance is very complex, even if the dynamics is very simple. |
Keyword |
(in Japanese) |
(See Japanese page) |
(in English) |
Non-linear circuit / chaos / forced four-segment piecewise linear BVP oscillator / / / / / |
Reference Info. |
IEICE Tech. Rep., vol. 112, no. 301, NLP2012-82, pp. 33-37, Nov. 2012. |
Paper # |
NLP2012-82 |
Date of Issue |
2012-11-12 (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) |
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NLP2012-82 |
Conference Information |
Committee |
NLP |
Conference Date |
2012-11-19 - 2012-11-20 |
Place (in Japanese) |
(See Japanese page) |
Place (in English) |
Ishinomaki Senshu University |
Topics (in Japanese) |
(See Japanese page) |
Topics (in English) |
General |
Paper Information |
Registration To |
NLP |
Conference Code |
2012-11-NLP |
Language |
Japanese |
Title (in Japanese) |
(See Japanese page) |
Sub Title (in Japanese) |
(See Japanese page) |
Title (in English) |
Death of an extremely small periodic solution and stable relaxation oscillation in a constrained BVP oscillator under weak periotic pertubation |
Sub Title (in English) |
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Keyword(1) |
Non-linear circuit |
Keyword(2) |
chaos |
Keyword(3) |
forced four-segment piecewise linear BVP oscillator |
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1st Author's Name |
Daisuke Iwasaki |
1st Author's Affiliation |
Meiji University (Meiji Univ.) |
2nd Author's Name |
Yoshimasa Shinotsuka |
2nd Author's Affiliation |
Meiji University (Meiji Univ.) |
3rd Author's Name |
Naohiko Inaba |
3rd Author's Affiliation |
Meiji University (Meiji Univ.) |
4th Author's Name |
Munehisa Sekikawa |
4th Author's Affiliation |
the University of Tokyo (Univ. of Tokyo) |
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Tetsuro Endo |
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Meiji University (Meiji Univ.) |
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Speaker |
Author-1 |
Date Time |
2012-11-19 16:20:00 |
Presentation Time |
25 minutes |
Registration for |
NLP |
Paper # |
NLP2012-82 |
Volume (vol) |
vol.112 |
Number (no) |
no.301 |
Page |
pp.33-37 |
#Pages |
5 |
Date of Issue |
2012-11-12 (NLP) |
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