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Paper Abstract and Keywords
Presentation 2011-07-02 11:50
Bifurcation analysis of chaotic map with a controller based on stability transformation
Takumi Hasegawa, Tadashi Tsubone (Nagaoka Univ Tech) NLP2011-58
Abstract (in Japanese) (See Japanese page) 
(in English) In this work, we consider a stability transformation method of unstable periodic orbits of a chaotic map.
In our previous works, we have proposed a controlling method which transforms stability of unstable periodic orbits embedded on a chaos attractor without the information of the location and shown a procedure to obtain the transformed system with stable periodic orbits which have same information of location to unstable periodic orbits on the original system.
In this report, we apply the method to unstable periodic orbits of logistic map and show procedure to design a continuous system corresponding to the chaotic map with a controller based on the stability transformation.
Also, the analysis of bifurcation of the system are provided.
Keyword (in Japanese) (See Japanese page) 
(in English) chaos / unstable periodic orbits / stability transformation / / / / /  
Reference Info. IEICE Tech. Rep., vol. 111, no. 106, NLP2011-58, pp. 187-191, June 2011.
Paper # NLP2011-58 
Date of Issue 2011-06-23 (NLP) 
ISSN Print edition: ISSN 0913-5685  Online edition: ISSN 2432-6380
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)
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Conference Information
Committee NLP  
Conference Date 2011-06-30 - 2011-07-02 
Place (in Japanese) (See Japanese page) 
Place (in English) Shari-cho Kohminkan: Yme-hall Shiretoko 
Topics (in Japanese) (See Japanese page) 
Topics (in English) General 
Paper Information
Registration To NLP 
Conference Code 2011-06-NLP 
Language Japanese 
Title (in Japanese) (See Japanese page) 
Sub Title (in Japanese) (See Japanese page) 
Title (in English) Bifurcation analysis of chaotic map with a controller based on stability transformation 
Sub Title (in English)  
Keyword(1) chaos  
Keyword(2) unstable periodic orbits  
Keyword(3) stability transformation  
1st Author's Name Takumi Hasegawa  
1st Author's Affiliation Nagaoka University of Technology (Nagaoka Univ Tech)
2nd Author's Name Tadashi Tsubone  
2nd Author's Affiliation Nagaoka University of Technology (Nagaoka Univ Tech)
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Speaker Author-1 
Date Time 2011-07-02 11:50:00 
Presentation Time 25 minutes 
Registration for NLP 
Paper # NLP2011-58 
Volume (vol) vol.111 
Number (no) no.106 
Page pp.187-191 
Date of Issue 2011-06-23 (NLP) 

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