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) |
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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) |
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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) |
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Takuji Kousaka |
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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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