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Paper Abstract and Keywords
Presentation 2011-12-15 15:15
An Effective Method for Calculating the Grazing Bifurcation Points in an Impact Oscillator
Yusho Shimizu (Oita Univ.), Hiroo Sekiya (Chiba Univ.), Kazuyuki Aihara (The Univ. of Tokyo), Takuji Kousaka (Oita Univ.) NLP2011-122
Abstract (in Japanese) (See Japanese page) 
(in English) In recent years, researchers have proposed some calculating methods of the grazing bifurcation points. However, the composition of the Jacobian matrix is complicated, because these methods treat the periodic time of the solution as a dependent variable. This paper proposes an effective method for calculating the grazing bifurcation points in an impact oscillator. Our method has the property that the periodic time is treated as an independent variable. First, we explain the dynamical system. Next, we show the calculating method of the grazing bifurcation points by using some conditional equations. Finally, we apply the method to Rayleigh-type equation and confirm the validity of our method.
Keyword (in Japanese) (See Japanese page) 
(in English) Impact Oscillator / Grazing Bifurcation / Composite Poincar\'e Map / / / / /  
Reference Info. IEICE Tech. Rep., vol. 111, no. 339, NLP2011-122, pp. 31-34, Dec. 2011.
Paper # NLP2011-122 
Date of Issue 2011-12-08 (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 NLP2011-122

Conference Information
Committee NLP  
Conference Date 2011-12-15 - 2011-12-15 
Place (in Japanese) (See Japanese page) 
Place (in English) Iwaki Hall AB, Hirosaki Univ. 
Topics (in Japanese) (See Japanese page) 
Topics (in English) General 
Paper Information
Registration To NLP 
Conference Code 2011-12-NLP 
Language Japanese 
Title (in Japanese) (See Japanese page) 
Sub Title (in Japanese) (See Japanese page) 
Title (in English) An Effective Method for Calculating the Grazing Bifurcation Points in an Impact Oscillator 
Sub Title (in English)  
Keyword(1) Impact Oscillator  
Keyword(2) Grazing Bifurcation  
Keyword(3) Composite Poincar\'e Map  
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1st Author's Name Yusho Shimizu  
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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Speaker Author-1 
Date Time 2011-12-15 15:15:00 
Presentation Time 25 minutes 
Registration for NLP 
Paper # NLP2011-122 
Volume (vol) vol.111 
Number (no) no.339 
Page pp.31-34 
#Pages 4 
Date of Issue 2011-12-08 (NLP) 

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