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Paper Abstract and Keywords
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
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

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  
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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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