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| Presentation | 2014-10-17 13:00 Bifurcation structure of Chenciner bubbles Munehisa Sekikawa (Utsunomiya Univ.), Naohiko Inaba, Tetsuro Endo (Meiji Univ.)  CAS2014-77 NLP2014-71 |
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| Abstract | (in Japanese) | (See Japanese page) |
| (in English) | We investigate bifurcations generated in a coupled delayed logistic map. Since a delayed logistic map generates an invariant one-torus (IT1) corresponding to a two-torus in vector fields, a coupled delayed logistic map exhibits an invariant two-torus (IT2) corresponding to a three-torus in vector fields. In IT2-generating parameter regions, IT1-generating regions extend to many directions like a web, which is called an Arnol'd resonance web. In this study, we investigate the bifurcation structure of Chenciner bubbles, which are complete synchronization regions in the parameter space, and illustrate a complete bifurcation set for a Chenciner bubble. The boundary of this Chenciner bubble is surrounded by saddle-node bifurcation curves and Neimark-Sacke bifurcation curves. | |
| Keyword | (in Japanese) | (See Japanese page) |
| (in English) | invariant two-torus / Arnold resonance web / nonlinear dynamics / / / / / | |
| Reference Info. | IEICE Tech. Rep., vol. 114, no. 250, NLP2014-71, pp. 129-132, Oct. 2014. | |
| Paper # | NLP2014-71 | |
| Date of Issue | 2014-10-09 (CAS, 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 | CAS2014-77 NLP2014-71 |
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| Conference Information | |
| Committee | NLP CAS |
| Conference Date | 2014-10-16 - 2014-10-17 |
| Place (in Japanese) | (See Japanese page) |
| Place (in English) | Ehime University |
| Topics (in Japanese) | (See Japanese page) |
| Topics (in English) | Nonlinear Problems, etc. |
| Paper Information | |
| Registration To | NLP |
| Conference Code | 2014-10-NLP-CAS |
| Language | Japanese |
| Title (in Japanese) | (See Japanese page) |
| Sub Title (in Japanese) | (See Japanese page) |
| Title (in English) | Bifurcation structure of Chenciner bubbles |
| Sub Title (in English) | |
| Keyword(1) | invariant two-torus |
| Keyword(2) | Arnold resonance web |
| Keyword(3) | nonlinear dynamics |
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| 1st Author's Name | Munehisa Sekikawa |
| 1st Author's Affiliation | Utsunomiya University (Utsunomiya Univ.) |
| 2nd Author's Name | Naohiko Inaba |
| 2nd Author's Affiliation | Meiji University (Meiji Univ.) |
| 3rd Author's Name | Tetsuro Endo |
| 3rd Author's Affiliation | Meiji University (Meiji Univ.) |
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| Speaker | Author-2 |
| Date Time | 2014-10-17 13:00:00 |
| Presentation Time | 20 minutes |
| Registration for | NLP |
| Paper # | CAS2014-77, NLP2014-71 |
| Volume (vol) | vol.114 |
| Number (no) | no.249(CAS), no.250(NLP) |
| Page | pp.129-132 |
| #Pages | 4 |
| Date of Issue | 2014-10-09 (CAS, NLP) |
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