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Paper Abstract and Keywords
Presentation 2014-01-22 13:10
Stabilizing unknown unstable periodic orbits based on stability transformation method and automatic adjustment of the control parameter
Takumi Hasegawa, Tadashi Tsubone (Nagaoka Univ. of Tech.) NLP2013-153
Abstract (in Japanese) (See Japanese page) 
(in English) In this study, we consider an improved control method based on Stability Transform Method. Stability Transform Method detects unstable periodic orbits of chaotic dynamical systems. Based on the approach to realize the Stability Transform Method in real systems, we have proposed a control method which can stabilize unknown unstable periodic orbits embedded in chaotic attractors. However, setting of the control parameter of the control system remained as unsolved issue. When an unstable periodic orbit of a target system is unknown, the control parameter has to be set by trial and error.
In this report, we improve the control method with the automatic adjustment of the control parameter. We show an example of stabilizing unstable periodic orbits of the 3-dimensional hysteresis chaos generator. Some results are confirmed by laboratory measurements.
Keyword (in Japanese) (See Japanese page) 
(in English) Chaos Control / Unstable Periodic Orbits / Stability Transformation Method / / / / /  
Reference Info. IEICE Tech. Rep., vol. 113, no. 383, NLP2013-153, pp. 127-132, Jan. 2014.
Paper # NLP2013-153 
Date of Issue 2014-01-14 (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 2014-01-21 - 2014-01-22 
Place (in Japanese) (See Japanese page) 
Place (in English) Niseko Park Hotel 
Topics (in Japanese) (See Japanese page) 
Topics (in English) General 
Paper Information
Registration To NLP 
Conference Code 2014-01-NLP 
Language Japanese 
Title (in Japanese) (See Japanese page) 
Sub Title (in Japanese) (See Japanese page) 
Title (in English) Stabilizing unknown unstable periodic orbits based on stability transformation method and automatic adjustment of the control parameter 
Sub Title (in English)  
Keyword(1) Chaos Control  
Keyword(2) Unstable Periodic Orbits  
Keyword(3) Stability Transformation Method  
1st Author's Name Takumi Hasegawa  
1st Author's Affiliation Nagaoka University of Technology (Nagaoka Univ. of Tech.)
2nd Author's Name Tadashi Tsubone  
2nd Author's Affiliation Nagaoka University of Technology (Nagaoka Univ. of Tech.)
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Speaker Author-1 
Date Time 2014-01-22 13:10:00 
Presentation Time 20 minutes 
Registration for NLP 
Paper # NLP2013-153 
Volume (vol) vol.113 
Number (no) no.383 
Page pp.127-132 
Date of Issue 2014-01-14 (NLP) 

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