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| Presentation | 2014-01-22 14:10 A Solving Algorithm for Period-1 Local Bifurcation Point in a (2+2)-dimensional Linear Impact Oscillator Yusuke Tone (Oita Univ.), Hiroyuki Asahara (Fukuoka Univ.), Kazuyuki Aihara (Univ. of Tokyo), Takuji Kousaka (Oita Univ.)  NLP2013-156 |
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| Abstract | (in Japanese) | (See Japanese page) |
| (in English) | In this paper, we propose a solving algorithm for period-1 local bifurcation point in a (2+2)-dimensional linear impact oscillator. First, we define the dynamical system of a (2+2)-dimensional linear impact oscillator. Next, we assume that the exact solution is derived by calculating the ordinary differential equation. Then, we compose the Poincare map and describe the conditions of the period-1 solution and the local bifurcation event. By these conditions, the solving method of the period-1 local bifurcation point is shown. Finally, we apply this algorithm to the (2+2)-dimensional linear impact oscillator and confirm its validity. | |
| Keyword | (in Japanese) | (See Japanese page) |
| (in English) | Impact oscillator / Local bifurcation / Bifurcation analysis / / / / / | |
| Reference Info. | IEICE Tech. Rep., vol. 113, no. 383, NLP2013-156, pp. 141-144, Jan. 2014. | |
| Paper # | NLP2013-156 | |
| Date of Issue | 2014-01-14 (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 | NLP2013-156 |
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| Conference Information | |
| Committee | NLP |
| Conference Date | 2014-01-21 - 2014-01-22 |
| Place (in Japanese) | (See Japanese page) |
| Place (in English) | Niseko Park Hotel |
| Topics (in Japanese) | (See Japanese page) |
| Topics (in English) | General |
| Paper Information | |
| Registration To | NLP |
| Conference Code | 2014-01-NLP |
| Language | Japanese |
| Title (in Japanese) | (See Japanese page) |
| Sub Title (in Japanese) | (See Japanese page) |
| Title (in English) | A Solving Algorithm for Period-1 Local Bifurcation Point in a (2+2)-dimensional Linear Impact Oscillator |
| Sub Title (in English) | |
| Keyword(1) | Impact oscillator |
| Keyword(2) | Local bifurcation |
| Keyword(3) | Bifurcation analysis |
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| 1st Author's Name | Yusuke Tone |
| 1st Author's Affiliation | Oita University (Oita Univ.) |
| 2nd Author's Name | Hiroyuki Asahara |
| 2nd Author's Affiliation | Fukuoka University (Fukuoka Univ.) |
| 3rd Author's Name | Kazuyuki Aihara |
| 3rd Author's Affiliation | University of Tokyo (Univ. of Tokyo) |
| 4th Author's Name | Takuji Kousaka |
| 4th Author's Affiliation | Oita University (Oita Univ.) |
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| Speaker | Author-1 |
| Date Time | 2014-01-22 14:10:00 |
| Presentation Time | 20 minutes |
| Registration for | NLP |
| Paper # | NLP2013-156 |
| Volume (vol) | vol.113 |
| Number (no) | no.383 |
| Page | pp.141-144 |
| #Pages | 4 |
| Date of Issue | 2014-01-14 (NLP) |
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