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Paper Abstract and Keywords
Presentation 2014-01-22 15:40
Design of nonlinear oscillators with prescribed orbits and response properties
Tsubasa Ishii, Wataru Kurebayashi, Hiroya Nakao (Tokyo Inst. of Tech.) NLP2013-160
Abstract (in Japanese) (See Japanese page) 
(in English) Engineering applications of synchronization phenomena exhibited by nonlinear oscillators have attracted much attention recently.
Since synchronization dynamics of an oscillator is determined by its phase response property to external forcing,
it is necessary to design a nonlinear oscillator with a desired phase response property.
We here propose a method for designing the vector field of a nonlinear oscillator that yields a prescribed limit-cycle orbit with a prescribed phase sensitivity function characterizing the oscillator’s linear response property.
Using the Floquet theory, we derive the requirements for the vector field to yield a given orbit and phase sensitivity function,
and then obtain polynomial approximation to the vector field that satisfies these requirements.
By numerical simulations, we show that the oscillators designed by the proposed method actually exhibit the desired limit-cycle orbits and phase sensitivity functions.
Keyword (in Japanese) (See Japanese page) 
(in English) nonlinea oscillator / phase resuction / synchronization phenomena / / / / /  
Reference Info. IEICE Tech. Rep., vol. 113, no. 383, NLP2013-160, pp. 163-166, Jan. 2014.
Paper # NLP2013-160 
Date of Issue 2014-01-14 (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 NLP2013-160

Conference Information
Committee NLP  
Conference Date 2014-01-21 - 2014-01-22 
Place (in Japanese) (See Japanese page) 
Place (in English) Niseko Park Hotel 
Topics (in Japanese) (See Japanese page) 
Topics (in English) General 
Paper Information
Registration To NLP 
Conference Code 2014-01-NLP 
Language Japanese 
Title (in Japanese) (See Japanese page) 
Sub Title (in Japanese) (See Japanese page) 
Title (in English) Design of nonlinear oscillators with prescribed orbits and response properties 
Sub Title (in English)  
Keyword(1) nonlinea oscillator  
Keyword(2) phase resuction  
Keyword(3) synchronization phenomena  
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1st Author's Name Tsubasa Ishii  
1st Author's Affiliation Tokyo Institute of Technology (Tokyo Inst. of Tech.)
2nd Author's Name Wataru Kurebayashi  
2nd Author's Affiliation Tokyo Institute of Technology (Tokyo Inst. of Tech.)
3rd Author's Name Hiroya Nakao  
3rd Author's Affiliation Tokyo Institute of Technology (Tokyo Inst. of Tech.)
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Speaker Author-1 
Date Time 2014-01-22 15:40:00 
Presentation Time 20 minutes 
Registration for NLP 
Paper # NLP2013-160 
Volume (vol) vol.113 
Number (no) no.383 
Page pp.163-166 
#Pages 4 
Date of Issue 2014-01-14 (NLP) 

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