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| Presentation | 2018-08-09 12:00 Positional relationship between homoclinic points and unstable periodic points of the horseshoe map in Henon map Shohei Miyazaki, Yuu Miino, Tetsushi Ueta, Hiroshi Kawakami (Tokushima Univ.)  NLP2018-70 |
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| Abstract | (in Japanese) | (See Japanese page) |
| (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) |
| (in English) | Hénon map / horseshoe map / unstable periodic point / homoclinic point / / / / | |
| Reference Info. | IEICE Tech. Rep., vol. 118, no. 174, NLP2018-70, pp. 91-96, Aug. 2018. | |
| Paper # | NLP2018-70 | |
| 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 | NLP2018-70 |
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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) | Positional relationship between homoclinic points and unstable periodic points of the horseshoe map in Henon map |
| Sub Title (in English) | |
| Keyword(1) | Hénon map |
| Keyword(2) | horseshoe map |
| Keyword(3) | unstable periodic point |
| Keyword(4) | homoclinic point |
| Keyword(5) | |
| Keyword(6) | |
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| Keyword(8) | |
| 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.) |
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| Speaker | Author-1 |
| Date Time | 2018-08-09 12:00:00 |
| Presentation Time | 25 minutes |
| Registration for | NLP |
| Paper # | NLP2018-70 |
| Volume (vol) | vol.118 |
| Number (no) | no.174 |
| Page | pp.91-96 |
| #Pages | 6 |
| Date of Issue | 2018-08-01 (NLP) |
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