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| Presentation | 2014-05-26 16:15 Four-dimensional tous and its Arnold resonance web Naohiko Inaba (Meiji Univ.), Munehisa Sekikawa (Utsunomiya Univ.), Tetsuro Endo (Meiji Univ.)  NLP2014-6 |
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| Abstract | (in Japanese) | (See Japanese page) |
| (in English) | In this study, we investigate an Arnold resonance web generated in a three-coupled delayed logistic map that exhibits an invariant three-torus (IT3), which corresponds to a four-torus in vector fields. In a region generating an IT3, numerous invariant two-torus (IT2)-Arnold tongues are observed in a web form. We investigate a quasi-periodic Hopf (QH) bifurcation between a region generating an IT2 and a region generating an IT3, and find that an invariant one-torus (IT1)-Arnold tongues transit to IT2-Arnold tongues through a QH bifurcation. Furthermore, a conventional Arnold tongue exists inside IT2-generating region in a nested form, and it transits to an IT1-Arnold tongue and to an IT2-Arnold tongue as if it is an independent Arnold tongue. |
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| Keyword | (in Japanese) | (See Japanese page) |
| (in English) | four-torus / Arnold resonance web / nonlinear dynamics / / / / / | |
| Reference Info. | IEICE Tech. Rep., vol. 114, no. 55, NLP2014-6, pp. 29-32, May 2014. | |
| Paper # | NLP2014-6 | |
| Date of Issue | 2014-05-19 (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 | NLP2014-6 |
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| Conference Information | |
| Committee | NLP |
| Conference Date | 2014-05-26 - 2014-05-27 |
| Place (in Japanese) | (See Japanese page) |
| Place (in English) | Big Heart IZUMO |
| Topics (in Japanese) | (See Japanese page) |
| Topics (in English) | Nonlinear Problems, etc. |
| Paper Information | |
| Registration To | NLP |
| Conference Code | 2014-05-NLP |
| Language | Japanese |
| Title (in Japanese) | (See Japanese page) |
| Sub Title (in Japanese) | (See Japanese page) |
| Title (in English) | Four-dimensional tous and its Arnold resonance web |
| Sub Title (in English) | |
| Keyword(1) | four-torus |
| Keyword(2) | Arnold resonance web |
| Keyword(3) | nonlinear dynamics |
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| 1st Author's Name | Naohiko Inaba |
| 1st Author's Affiliation | Meiji University (Meiji Univ.) |
| 2nd Author's Name | Munehisa Sekikawa |
| 2nd Author's Affiliation | Utsunomiya University (Utsunomiya Univ.) |
| 3rd Author's Name | Tetsuro Endo |
| 3rd Author's Affiliation | Meiji University (Meiji Univ.) |
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| Speaker | Author-1 |
| Date Time | 2014-05-26 16:15:00 |
| Presentation Time | 25 minutes |
| Registration for | NLP |
| Paper # | NLP2014-6 |
| Volume (vol) | vol.114 |
| Number (no) | no.55 |
| Page | pp.29-32 |
| #Pages | 4 |
| Date of Issue | 2014-05-19 (NLP) |
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