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Paper Abstract and Keywords
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
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
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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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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) 
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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
Date Time 2007-12-20 13:50:00 
Presentation Time 25 
Registration for NLP 
Paper # IEICE-NLP2007-126 
Volume (vol) IEICE-107 
Number (no) no.400 
Page pp.31-34 
#Pages IEICE-4 
Date of Issue IEICE-NLP-2007-12-13 


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