| Presentation | 2018-08-09 Positional relationship between homoclinic points and unstable periodic points of the horseshoe map in Henon map Shohei Miyazaki, Yuu Miino, Tetsushi Ueta, Hiroshi Kawakami, |
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| PDF Download Page |  PDF download Page Link |
| Abstract(in Japanese) | (See Japanese page) |
| Abstract(in English) | A researcher had suggested the method to obtain the unstable periodic point (UPP) embedded in the horseshoe map by using the coordinate of a homoclinic point. However, there are no results that showing the positional relationship between the UPP and the homoclinic point. In this study, we investigate this positional relationship of the Henon map by using numerical method. We obtain the UPP and the homoclinic point by Newton’s method and evaluate their positional relationship by using polar coordinate. |
| Keyword(in Japanese) | (See Japanese page) |
| Keyword(in English) | H?non map / horseshoe map / unstable periodic point / homoclinic point |
| Paper # | NLP2018-70 |
| 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) | Positional relationship between homoclinic points and unstable periodic points of the horseshoe map in Henon map |
| Sub Title (in English) | |
| Keyword(1) | H?non map |
| Keyword(2) | horseshoe map |
| Keyword(3) | unstable periodic point |
| Keyword(4) | homoclinic point |
| 1st Author's Name | Shohei Miyazaki |
| 1st Author's Affiliation | Tokushima University(Tokushima Univ.) |
| 2nd Author's Name | Yuu Miino |
| 2nd Author's Affiliation | Tokushima University(Tokushima Univ.) |
| 3rd Author's Name | Tetsushi Ueta |
| 3rd Author's Affiliation | Tokushima University(Tokushima Univ.) |
| 4th Author's Name | Hiroshi Kawakami |
| 4th Author's Affiliation | Tokushima University(Tokushima Univ.) |
| Date | 2018-08-09 |
| Paper # | NLP2018-70 |
| Volume (vol) | vol.118 |
| Number (no) | NLP-174 |
| Page | pp.pp.91-96(NLP), |
| #Pages | 6 |
| Date of Issue | 2018-08-01 (NLP) |