Paper Abstract and Keywords |
Presentation |
2014-07-21 13:00
Four-dimensional torus and its Arnold resonance web: part 2 Shuya Hidaka, Naohiko Inaba, Kyohei Kamiyama (Meiji Univ.), Munehisa Sekikawa (Utsunomiya Univ.), Tetsuro Endo (Meiji Univ.) NLP2014-31 |
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. There exists a transition from an invariant two-torus (IT2) to IT3 that should be called a quasi- periodic Hopf (QH) bifurcation of IT2, and clarify that it occurs when a fixed point bifurcates to an invariant closed curve on the triple Poincare map. In addition, we confirm that another bifurcation route from IT2 to IT3 exists that should be called a quasi-periodic saddle-node bifurcation. |
Keyword |
(in Japanese) |
(See Japanese page) |
(in English) |
four-torus / Arnold resonance web / nonlinear dynamics / / / / / |
Reference Info. |
IEICE Tech. Rep., vol. 114, no. 145, NLP2014-31, pp. 1-6, July 2014. |
Paper # |
NLP2014-31 |
Date of Issue |
2014-07-14 (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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NLP2014-31 |
Conference Information |
Committee |
NLP |
Conference Date |
2014-07-21 - 2014-07-22 |
Place (in Japanese) |
(See Japanese page) |
Place (in English) |
Hakodate City Central Library |
Topics (in Japanese) |
(See Japanese page) |
Topics (in English) |
Nonlinear Problems, etc. |
Paper Information |
Registration To |
NLP |
Conference Code |
2014-07-NLP |
Language |
Japanese |
Title (in Japanese) |
(See Japanese page) |
Sub Title (in Japanese) |
(See Japanese page) |
Title (in English) |
Four-dimensional torus and its Arnold resonance web: part 2 |
Sub Title (in English) |
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Keyword(1) |
four-torus |
Keyword(2) |
Arnold resonance web |
Keyword(3) |
nonlinear dynamics |
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1st Author's Name |
Shuya Hidaka |
1st Author's Affiliation |
Meiji Univercity (Meiji Univ.) |
2nd Author's Name |
Naohiko Inaba |
2nd Author's Affiliation |
Meiji Univercity (Meiji Univ.) |
3rd Author's Name |
Kyohei Kamiyama |
3rd Author's Affiliation |
Meiji Univercity (Meiji Univ.) |
4th Author's Name |
Munehisa Sekikawa |
4th Author's Affiliation |
Utsunomiya Univercity (Utsunomiya Univ.) |
5th Author's Name |
Tetsuro Endo |
5th Author's Affiliation |
Meiji Univercity (Meiji Univ.) |
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Speaker |
Author-1 |
Date Time |
2014-07-21 13:00:00 |
Presentation Time |
25 minutes |
Registration for |
NLP |
Paper # |
NLP2014-31 |
Volume (vol) |
vol.114 |
Number (no) |
no.145 |
Page |
pp.1-6 |
#Pages |
6 |
Date of Issue |
2014-07-14 (NLP) |
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