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Paper Abstract and Keywords
Presentation 2014-01-22 15:20
Dynamics of phase oscillator populations with multifrequencies
Yu Terada (Kyoto Univ.), Toshio Aoyagi (Kyoto Univ./JST) NLP2013-159
Abstract (in Japanese) (See Japanese page) 
(in English) Synchronization plays an important role in nature and its analytical research based on phase oscillator model have been widely conducted in recent years. However, several issues have been poorly understood, such as the dynamical properties of the chimera states characterized by the coexistence of the coherent and incoherent populations. For example, recent experimental results suggest that in the brain several different rhythms emerge and interact with each other. According to the phase reduction theory, the coupling function between two oscillators with significantly different frequencies is specific under the resonant condition. However, the phase oscillator model taking the account of this specific coupling function has been little studied so far. In this paper, we investigate the dynamics of the populations of the phase oscillators, in which the frequency distributions have significantly different means. Ott and Antonsen have recently developed the prominent theory, the Ott-Antonsen ansatz, which can reduce the infinite-dimensional dynamics of the phase oscillators to the low-dimensional dynamics. Applying the Ott-Antonsen ansatz to our model, we assume the specific form to the coupling function among slow oscillators. Investigating the dynamics of the phase oscillators in two populations with multifrequencies, we found the clustered chimera states in which the synchronized and unsynchronized populations coexist. Moreover, we numerically confirm the above results hold qualitatively even under the more general conditions.
Keyword (in Japanese) (See Japanese page) 
(in English) populations of phase oscillators / multifrequency / Ott-Antonsen ansatz / chimera states / clustering / / /  
Reference Info. IEICE Tech. Rep., vol. 113, no. 383, NLP2013-159, pp. 157-161, Jan. 2014.
Paper # NLP2013-159 
Date of Issue 2014-01-14 (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. (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) Dynamics of phase oscillator populations with multifrequencies 
Sub Title (in English)  
Keyword(1) populations of phase oscillators  
Keyword(2) multifrequency  
Keyword(3) Ott-Antonsen ansatz  
Keyword(4) chimera states  
Keyword(5) clustering  
1st Author's Name Yu Terada  
1st Author's Affiliation Kyoto University (Kyoto Univ.)
2nd Author's Name Toshio Aoyagi  
2nd Author's Affiliation Kyoto University/JST CREST (Kyoto Univ./JST)
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Date Time 2014-01-22 15:20:00 
Presentation Time 20 
Registration for NLP 
Paper # IEICE-NLP2013-159 
Volume (vol) IEICE-113 
Number (no) no.383 
Page pp.157-161 
#Pages IEICE-5 
Date of Issue IEICE-NLP-2014-01-14 

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