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Paper Abstract and Keywords
Presentation 2011-11-09 11:25
A Calculation Method of Grazing Bifurcation Point for Period-1 Orbit in an Impact Oscillator with Periodically Moving Borders
Akiko Takahashi (Oita Univ.), Hiroo Sekiya (Chiba Univ.), Kazuyuki Aihara (The Univ. of Tokyo), Takuji Kousaka (Oita Univ.) NLP2011-96
Abstract (in Japanese) (See Japanese page) 
(in English) This paper proposes a calculation method of the grazing bifurcation point in an impact oscillator with the periodically moving borders. First, we illustrate the behavior of the trajectory in an autonomous impact oscillator. Then, we define the composite Poincare map in order to discretize the system. Next, the condition of the grazing bifurcation is described as a simultaneous equation. Moreover, we show the Jacobian matrix to calculate the grazing bifurcation point numerically. Finally, the validity of our proposed method is confirmed by using a two-dimensional impact oscillator with the sinusoidally corrugated borders.
Keyword (in Japanese) (See Japanese page) 
(in English) Impact oscillator / Periodically moving border / Grazing bifurcation / Bifurcation analysis / / / /  
Reference Info. IEICE Tech. Rep., vol. 111, no. 276, NLP2011-96, pp. 29-32, Nov. 2011.
Paper # NLP2011-96 
Date of Issue 2011-11-02 (NLP) 
ISSN Print edition: ISSN 0913-5685  Online edition: ISSN 2432-6380
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. (No. 10GA0019/12GB0052/13GB0056/17GB0034/18GB0034)
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Conference Information
Committee NLP  
Conference Date 2011-11-09 - 2011-11-11 
Place (in Japanese) (See Japanese page) 
Place (in English) Miyako Island Marine Terminal 
Topics (in Japanese) (See Japanese page) 
Topics (in English) General 
Paper Information
Registration To NLP 
Conference Code 2011-11-NLP 
Language Japanese 
Title (in Japanese) (See Japanese page) 
Sub Title (in Japanese) (See Japanese page) 
Title (in English) A Calculation Method of Grazing Bifurcation Point for Period-1 Orbit in an Impact Oscillator with Periodically Moving Borders 
Sub Title (in English)  
Keyword(1) Impact oscillator  
Keyword(2) Periodically moving border  
Keyword(3) Grazing bifurcation  
Keyword(4) Bifurcation analysis  
1st Author's Name Akiko Takahashi  
1st Author's Affiliation Oita University (Oita Univ.)
2nd Author's Name Hiroo Sekiya  
2nd Author's Affiliation Chiba University (Chiba Univ.)
3rd Author's Name Kazuyuki Aihara  
3rd Author's Affiliation The University of Tokyo (The Univ. of Tokyo)
4th Author's Name Takuji Kousaka  
4th Author's Affiliation Oita University (Oita Univ.)
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Date Time 2011-11-09 11:25:00 
Presentation Time 25 
Registration for NLP 
Paper # IEICE-NLP2011-96 
Volume (vol) IEICE-111 
Number (no) no.276 
Page pp.29-32 
#Pages IEICE-4 
Date of Issue IEICE-NLP-2011-11-02 

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