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 |
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) |
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NLP2011-58 |
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 |
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chaos |
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unstable periodic orbits |
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stability transformation |
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1st Author's Name |
Takumi Hasegawa |
1st Author's Affiliation |
Nagaoka University of Technology (Nagaoka Univ Tech) |
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Tadashi Tsubone |
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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 |
#Pages |
5 |
Date of Issue |
2011-06-23 (NLP) |
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