Paper Abstract and Keywords |
Presentation |
2014-12-03 13:00
Bifurcation of invariant three-tori generated by a three-coupled delayed logistic map Shuya Hidaka, Naohiko Inaba (Meiji Univ.), Munehisa Sekikawa (Utsunomiya Univ.), Tetsuro Endo (Meiji Univ.) NLP2014-99 |
Abstract |
(in Japanese) |
(See Japanese page) |
(in English) |
Bifurcations of High-dimensional tori have recently attracted a significant
research interest. We investigate an invariant three-torus (IT$_3$) generated
by a three-coupled delayed logistic map, which corresponds to a four-dimensional torus in vector fields. Some detailed two-parameter Lyapunov diagrams are illustrated, in which a complex bifurcation structure called an Arnol'd resonance web is observed. The purpose in this study aims to clarify that quasi-periodic saddle-node (QSN) bifurcations from an invariant two-torus (IT$_2$) to an intermittent IT$_3$ occur because of a saddle-node bifurcation of a stable IT$_2$ and a saddle IT$_2$. |
Keyword |
(in Japanese) |
(See Japanese page) |
(in English) |
Quasi-periodic oscillations / Invariant three-torus / Quasi-periodic saddle-node bifurcations / Lyapunov analysis / Three-coupled delayed logistic map / / / |
Reference Info. |
IEICE Tech. Rep., vol. 114, no. 348, NLP2014-99, pp. 1-5, Dec. 2014. |
Paper # |
NLP2014-99 |
Date of Issue |
2014-11-26 (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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NLP2014-99 |
Conference Information |
Committee |
NLP |
Conference Date |
2014-12-03 - 2014-12-04 |
Place (in Japanese) |
(See Japanese page) |
Place (in English) |
Kyoto Univ. Tokyo Office |
Topics (in Japanese) |
(See Japanese page) |
Topics (in English) |
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Paper Information |
Registration To |
NLP |
Conference Code |
2014-12-NLP |
Language |
Japanese |
Title (in Japanese) |
(See Japanese page) |
Sub Title (in Japanese) |
(See Japanese page) |
Title (in English) |
Bifurcation of invariant three-tori generated by a three-coupled delayed logistic map |
Sub Title (in English) |
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Keyword(1) |
Quasi-periodic oscillations |
Keyword(2) |
Invariant three-torus |
Keyword(3) |
Quasi-periodic saddle-node bifurcations |
Keyword(4) |
Lyapunov analysis |
Keyword(5) |
Three-coupled delayed logistic map |
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1st Author's Name |
Shuya Hidaka |
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 |
2014-12-03 13:00:00 |
Presentation Time |
25 minutes |
Registration for |
NLP |
Paper # |
NLP2014-99 |
Volume (vol) |
vol.114 |
Number (no) |
no.348 |
Page |
pp.1-5 |
#Pages |
5 |
Date of Issue |
2014-11-26 (NLP) |