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Paper Abstract and Keywords
Presentation 2014-01-22 16:00
Phase-reduction analysis of coupled limit-cycle oscillators in hybrid dynamical systems
Sho Shirasaka, Wataru Kurebayashi, Hiroya Nakao (Tokyo Inst. of Tech.) NLP2013-161
Abstract (in Japanese) (See Japanese page) 
(in English) Hybrid dynamical systems, possessing both characteristics of discrete and continuous dynamical systems, is often used to model temporally multi-scale systems, which show instantaneous systemic changes. Many hybrid dynamical systems in mechanical, electrical, and biological systems exhibit rhythmic activities, whose synchronization phenomena have various functional meaning. In the preceding report [Shirasaka et al., IEICE, 112, 487, pp.55-58, 2013], we extended the phase reduction method, which is a general mathematical framework for analyzing synchronization properties of nonlinear oscillators, to the hybrid dynamical systems and demonstrated that the proposed method nicely works for the analysis of injection locking phenomena of stable hybrid limit-cycle oscillators to external periodic signals. In this report, we analyze coupled hybrid limit-cycle oscillators by the extended phase reduction method, and derive the condition for the frequency mismatch to achieve synchronization and
the stable phase differences between the oscillators. From the proposed phase reduction method, we found the possibility that the frequency mismatch has no influence on the stable phase difference in some pulse-coupled oscillators, which is a distinctive synchronization property in hybrid dynamical systems.
Keyword (in Japanese) (See Japanese page) 
(in English) hybrid dynamical systems / coupled nonlinear dynamical systems / oscillator / phase reduction method / synchronization / / /  
Reference Info. IEICE Tech. Rep., vol. 113, no. 383, NLP2013-161, pp. 167-171, Jan. 2014.
Paper # NLP2013-161 
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)
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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) Phase-reduction analysis of coupled limit-cycle oscillators in hybrid dynamical systems 
Sub Title (in English)  
Keyword(1) hybrid dynamical systems  
Keyword(2) coupled nonlinear dynamical systems  
Keyword(3) oscillator  
Keyword(4) phase reduction method  
Keyword(5) synchronization  
Keyword(6)  
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Keyword(8)  
1st Author's Name Sho Shirasaka  
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 16:00:00 
Presentation Time 20 minutes 
Registration for NLP 
Paper # NLP2013-161 
Volume (vol) vol.113 
Number (no) no.383 
Page pp.167-171 
#Pages 5 
Date of Issue 2014-01-14 (NLP) 

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