| Paper Abstract and Keywords |
| Presentation |
2014-05-27 09:30
Analysis of Bifurcation Phenomena from 2-D Piecewise-Constant Driven Oscillator Hironori Kuriyama, Tadashi Tsubone (Nagaoka Univ. of Tech.) NLP2014-7 |
| Abstract |
(in Japanese) |
(See Japanese page) |
| (in English) |
In this report, we analyze bifurcation phenomena of a 2-D piecewise-constant driven oscillator.
It is well known that phase-locked regions called Arnold tongues are
often observed in forced oscillators. On the other hand, we have analyzed piecewise constant systems which are extremely simple systems governed by piecewise constant vector fields. Since we have considered only an 1-D dimensional system with driven force, discussion on forced oscillators is not sufficient. In this report, we consider 2-D piecewise-constant driven oscillator. We analyze bifurcation phenomena depending on driven force parameters by using poincare map which is described by rigorous solutions.
Typical phenomena are verified by simple circuit experimentation. |
| Keyword |
(in Japanese) |
(See Japanese page) |
| (in English) |
picewise-constant system / driven oscillator / bifurcation phenomena / Arnold tongue / / / / |
| Reference Info. |
IEICE Tech. Rep., vol. 114, no. 55, NLP2014-7, pp. 33-36, May 2014. |
| Paper # |
NLP2014-7 |
| Date of Issue |
2014-05-19 (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 |
NLP2014-7 |
| Conference Information |
| Committee |
NLP |
| Conference Date |
2014-05-26 - 2014-05-27 |
| Place (in Japanese) |
(See Japanese page) |
| Place (in English) |
Big Heart IZUMO |
| Topics (in Japanese) |
(See Japanese page) |
| Topics (in English) |
Nonlinear Problems, etc. |
| Paper Information |
| Registration To |
NLP |
| Conference Code |
2014-05-NLP |
| Language |
Japanese |
| Title (in Japanese) |
(See Japanese page) |
| Sub Title (in Japanese) |
(See Japanese page) |
| Title (in English) |
Analysis of Bifurcation Phenomena from 2-D Piecewise-Constant Driven Oscillator |
| Sub Title (in English) |
|
| Keyword(1) |
picewise-constant system |
| Keyword(2) |
driven oscillator |
| Keyword(3) |
bifurcation phenomena |
| Keyword(4) |
Arnold tongue |
| Keyword(5) |
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| Keyword(6) |
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| Keyword(7) |
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| 1st Author's Name |
Hironori Kuriyama |
| 1st Author's Affiliation |
Nagaoka University of Technology (Nagaoka Univ. of Tech.) |
| 2nd Author's Name |
Tadashi Tsubone |
| 2nd Author's Affiliation |
Nagaoka University of Technology (Nagaoka Univ. of Tech.) |
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| Speaker |
Author-1 |
| Date Time |
2014-05-27 09:30:00 |
| Presentation Time |
25 minutes |
| Registration for |
NLP |
| Paper # |
NLP2014-7 |
| Volume (vol) |
vol.114 |
| Number (no) |
no.55 |
| Page |
pp.33-36 |
| #Pages |
4 |
| Date of Issue |
2014-05-19 (NLP) |