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| Presentation | 2013-10-28 17:00 Bifurcation boundaries of quasi-periodic oscillation Yoshimasa Shinotsuka, Naohiko Inaba (Meiji Univ.), Munehisa Sekikawa (Utsunomiya Univ.), Tetsuro Endo (Meiji Univ.)  NLP2013-87 |
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| Abstract | (in Japanese) | (See Japanese page) |
| (in English) | A two-torus and a three-torus have been a subject of intense research in recent years. There is a hypothesis concerning the boundary between a two-torus generating region and a three-torus generating region. This hypothesis may puzzle many reserchers because it is difficult to distinguish whether it holds or not although it seems to be a reasonable one at first glance. To verify this hypothesis, we conduct a detailed Lyapunov analysis for a coupled delayed logistic map, and show that the sadle-node bifurcation of unstable periodic points does not coincide with the bifurcation boundary between one-dimensional ICC and two-dimensional invariant torus. In addition, by lyapunov analysis a coupled delayed logistic map and Henon map, we show that the boundary of torus-doubling does not coincide with a period-doubling bifurcation point of the unstable periodic points. |
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| Keyword | (in Japanese) | (See Japanese page) |
| (in English) | two-torus / three-torus / nonlinear dynamics / / / / / | |
| Reference Info. | IEICE Tech. Rep., vol. 113, no. 271, NLP2013-87, pp. 95-98, Oct. 2013. | |
| Paper # | NLP2013-87 | |
| Date of Issue | 2013-10-21 (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 | NLP2013-87 |
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| Conference Information | |
| Committee | NLP |
| Conference Date | 2013-10-28 - 2013-10-29 |
| Place (in Japanese) | (See Japanese page) |
| Place (in English) | Sanport Hall Takamatsu |
| Topics (in Japanese) | (See Japanese page) |
| Topics (in English) | General |
| Paper Information | |
| Registration To | NLP |
| Conference Code | 2013-10-NLP |
| Language | Japanese |
| Title (in Japanese) | (See Japanese page) |
| Sub Title (in Japanese) | (See Japanese page) |
| Title (in English) | Bifurcation boundaries of quasi-periodic oscillation |
| Sub Title (in English) | |
| Keyword(1) | two-torus |
| Keyword(2) | three-torus |
| Keyword(3) | nonlinear dynamics |
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| 1st Author's Name | Yoshimasa Shinotsuka |
| 1st Author's Affiliation | Meiji University (Meiji Univ.) |
| 2nd Author's Name | Naohiko Inaba |
| 2nd Author's Affiliation | Meiji University (Meiji Univ.) |
| 3rd Author's Name | Munehisa Sekikawa |
| 3rd Author's Affiliation | Utsunomiya University (Utsunomiya Univ.) |
| 4th Author's Name | Tetsuro Endo |
| 4th Author's Affiliation | Meiji University (Meiji Univ.) |
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| Speaker | Author-1 |
| Date Time | 2013-10-28 17:00:00 |
| Presentation Time | 15 minutes |
| Registration for | NLP |
| Paper # | NLP2013-87 |
| Volume (vol) | vol.113 |
| Number (no) | no.271 |
| Page | pp.95-98 |
| #Pages | 4 |
| Date of Issue | 2013-10-21 (NLP) |
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