| Presentation | 2018-08-08 Bifurcations in the ship capsizing problem Yuu Miino, Tetsushi Ueta, Hiroshi Kawakami, Atsuo Maki, Naoya Umeda, |
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| PDF Download Page |  PDF download Page Link |
| Abstract(in Japanese) | (See Japanese page) |
| Abstract(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 Poincare? 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) |
| Keyword(in English) | the softening Duffing equation / numerical computation / local stability / local bifurcation / global bifurcation |
| Paper # | NLP2018-55 |
| Date of Issue | 2018-08-01 (NLP) |
| Conference Information | |
| Committee | NLP |
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| Conference Date | 2018/8/8(2days) |
| Place (in Japanese) | (See Japanese page) |
| Place (in English) | Saiwai-cho Campus, Kagawa Univ. |
| Topics (in Japanese) | (See Japanese page) |
| Topics (in English) | etc. |
| Chair | Norikazu Takahashi(Okayama Univ.) |
| Vice Chair | Hiroaki Kurokawa(Tokyo Univ. of Tech.) |
| Secretary | Hiroaki Kurokawa(Hiroshima Inst. of Tech.) |
| Assistant | Masayuki Kimura(Kyoto Univ.) / Yutaka Shimada(Saitama Univ.) |
| Paper Information | |
| Registration To | Technical Committee on Nonlinear Problems |
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| Language | JPN |
| 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 |
| 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.) |
| Date | 2018-08-08 |
| Paper # | NLP2018-55 |
| Volume (vol) | vol.118 |
| Number (no) | NLP-174 |
| Page | pp.pp.15-19(NLP), |
| #Pages | 5 |
| Date of Issue | 2018-08-01 (NLP) |