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| Presentation | 2018-08-08 13:45 Bifurcations in the ship capsizing problem Yuu Miino, Tetsushi Ueta, Hiroshi Kawakami (Tokushima Univ.), Atsuo Maki, Naoya Umeda (Osaka Univ.)  NLP2018-55 |
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| Abstract | (in Japanese) | (See Japanese page) |
| (in English) | In the field of ship stability, the softening Duffing equation is used for the ship capsizing problem. However, most of the researches for this system have used the approximation methods. In this paper, we investigate this system by using the legacy numerical methods. We define the proper Poincaré map to analyze the system and confirm the general definitions of the asymptotic stability, the stable and unstable manifolds, and the local and global bifurcations. Finally, we calculate the 2-dimensional bifurcation diagram of the system and observe the changes in the basin of attraction in the state space. | |
| Keyword | (in Japanese) | (See Japanese page) |
| (in English) | the softening Duffing equation / numerical computation / local stability / local bifurcation / global bifurcation / / / | |
| Reference Info. | IEICE Tech. Rep., vol. 118, no. 174, NLP2018-55, pp. 15-19, Aug. 2018. | |
| Paper # | NLP2018-55 | |
| Date of Issue | 2018-08-01 (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 | NLP2018-55 |
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| Conference Information | |
| Committee | NLP |
| Conference Date | 2018-08-08 - 2018-08-09 |
| Place (in Japanese) | (See Japanese page) |
| Place (in English) | Saiwai-cho Campus, Kagawa Univ. |
| Topics (in Japanese) | (See Japanese page) |
| Topics (in English) | etc. |
| Paper Information | |
| Registration To | NLP |
| Conference Code | 2018-08-NLP |
| Language | Japanese |
| Title (in Japanese) | (See Japanese page) |
| Sub Title (in Japanese) | (See Japanese page) |
| Title (in English) | Bifurcations in the ship capsizing problem |
| Sub Title (in English) | |
| Keyword(1) | the softening Duffing equation |
| Keyword(2) | numerical computation |
| Keyword(3) | local stability |
| Keyword(4) | local bifurcation |
| Keyword(5) | global bifurcation |
| Keyword(6) | |
| Keyword(7) | |
| Keyword(8) | |
| 1st Author's Name | Yuu Miino |
| 1st Author's Affiliation | Tokushima Univerity (Tokushima Univ.) |
| 2nd Author's Name | Tetsushi Ueta |
| 2nd Author's Affiliation | Tokushima Univerity (Tokushima Univ.) |
| 3rd Author's Name | Hiroshi Kawakami |
| 3rd Author's Affiliation | Tokushima Univerity (Tokushima Univ.) |
| 4th Author's Name | Atsuo Maki |
| 4th Author's Affiliation | Osaka University (Osaka Univ.) |
| 5th Author's Name | Naoya Umeda |
| 5th Author's Affiliation | Osaka University (Osaka Univ.) |
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| Speaker | Author-1 |
| Date Time | 2018-08-08 13:45:00 |
| Presentation Time | 25 minutes |
| Registration for | NLP |
| Paper # | NLP2018-55 |
| Volume (vol) | vol.118 |
| Number (no) | no.174 |
| Page | pp.15-19 |
| #Pages | 5 |
| Date of Issue | 2018-08-01 (NLP) |
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