Paper Abstract and Keywords |
Presentation |
2013-09-27 10:40
Basic Dynamics of Manifold Piece-wise Linear Systems on Torus Kazuyuki Kimura, Toshimichi Saito (Hosei Univ.) CAS2013-48 NLP2013-60 |
Abstract |
(in Japanese) |
(See Japanese page) |
(in English) |
In this paper, we consider the basic dynamics of manifold piece-wise linear systems on torus. The systems on the torus are equivalent to systems having many equilibrium points. The systems can exhibit various chaotic phenomena and the trajectories do not diverge. The dynamics can be simplified into one-dimensional piece-wise linear return map. Using the return map, the chaotic dynamics can be analyzed theoretically. In order to characterize the system dynamics, we introduce the quad-screw manifold piece-wise linear systems and compare the dynamics with the systems on the torus. |
Keyword |
(in Japanese) |
(See Japanese page) |
(in English) |
manifold piece-wise linear systems / chaos / torus / / / / / |
Reference Info. |
IEICE Tech. Rep., vol. 113, no. 225, NLP2013-60, pp. 67-70, Sept. 2013. |
Paper # |
NLP2013-60 |
Date of Issue |
2013-09-19 (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) |
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CAS2013-48 NLP2013-60 |
Conference Information |
Committee |
CAS NLP |
Conference Date |
2013-09-26 - 2013-09-27 |
Place (in Japanese) |
(See Japanese page) |
Place (in English) |
Satellite Campus, Gifu University |
Topics (in Japanese) |
(See Japanese page) |
Topics (in English) |
General |
Paper Information |
Registration To |
NLP |
Conference Code |
2013-09-CAS-NLP |
Language |
Japanese |
Title (in Japanese) |
(See Japanese page) |
Sub Title (in Japanese) |
(See Japanese page) |
Title (in English) |
Basic Dynamics of Manifold Piece-wise Linear Systems on Torus |
Sub Title (in English) |
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Keyword(1) |
manifold piece-wise linear systems |
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chaos |
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torus |
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1st Author's Name |
Kazuyuki Kimura |
1st Author's Affiliation |
Hosei University (Hosei Univ.) |
2nd Author's Name |
Toshimichi Saito |
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Hosei University (Hosei Univ.) |
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Speaker |
Author-1 |
Date Time |
2013-09-27 10:40:00 |
Presentation Time |
25 minutes |
Registration for |
NLP |
Paper # |
CAS2013-48, NLP2013-60 |
Volume (vol) |
vol.113 |
Number (no) |
no.224(CAS), no.225(NLP) |
Page |
pp.67-70 |
#Pages |
4 |
Date of Issue |
2013-09-19 (CAS, NLP) |
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