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| Presentation | 2007-12-20 13:50 Bifurcation Phenomena in Non-autonomous Systems with State Interrupted Characteristics Shingo Tomonaga (Oita Univ.), Yue Ma (Kyoto Univ.), Takuji Kousaka (Oita Univ.)  NLP2007-126 |
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| Abstract | (in Japanese) | (See Japanese page) |
| (in English) | We call the system with interrupted characteristics if it is switched by a certain condition. In the mechanical systems, the bifurcation phenomena in such systems has been studied for many years. But there is no generalized method for bifurcation analysis to clarify a solution flow. In this paper, we discuss the analytical method for some dynamical systems with state interrupted characteristics which are described by non-autonomous systems. Now, it is very important to compose the Poincar\'{e} map. So, we explain its detail, and propose the algorithm for following a bifurcation point continuously. Furthermore, this method apply the arbitrary one degree of freedom forced oscillation system, and we consider the influence of periodic solutions upon bifurcations. | |
| Keyword | (in Japanese) | (See Japanese page) |
| (in English) | bifurcation analysis / state interrupted characteristics / forced oscillation system / / / / / | |
| Reference Info. | IEICE Tech. Rep., vol. 107, no. 400, NLP2007-126, pp. 31-34, Dec. 2007. | |
| Paper # | NLP2007-126 | |
| Date of Issue | 2007-12-13 (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 | NLP2007-126 |
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| Conference Information | |
| Committee | NLP |
| Conference Date | 2007-12-19 - 2007-12-20 |
| Place (in Japanese) | (See Japanese page) |
| Place (in English) | |
| Topics (in Japanese) | (See Japanese page) |
| Topics (in English) | |
| Paper Information | |
| Registration To | NLP |
| Conference Code | 2007-12-NLP |
| Language | Japanese |
| Title (in Japanese) | (See Japanese page) |
| Sub Title (in Japanese) | (See Japanese page) |
| Title (in English) | Bifurcation Phenomena in Non-autonomous Systems with State Interrupted Characteristics |
| Sub Title (in English) | |
| Keyword(1) | bifurcation analysis |
| Keyword(2) | state interrupted characteristics |
| Keyword(3) | forced oscillation system |
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| 1st Author's Name | Shingo Tomonaga |
| 1st Author's Affiliation | Oita University (Oita Univ.) |
| 2nd Author's Name | Yue Ma |
| 2nd Author's Affiliation | Kyoto University (Kyoto Univ.) |
| 3rd Author's Name | Takuji Kousaka |
| 3rd Author's Affiliation | Oita University (Oita Univ.) |
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| Speaker | Author-1 |
| Date Time | 2007-12-20 13:50:00 |
| Presentation Time | 25 minutes |
| Registration for | NLP |
| Paper # | NLP2007-126 |
| Volume (vol) | vol.107 |
| Number (no) | no.400 |
| Page | pp.31-34 |
| #Pages | 4 |
| Date of Issue | 2007-12-13 (NLP) |
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