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Paper Abstract and Keywords
Presentation 2018-08-01 14:00
[Invited Talk] Phase description and synchronization of collective rhythms in networks of coupled dynamical systems
Hiroya Nakao (Tokyo Tech.) CCS2018-25 IN2018-12
Abstract (in Japanese) (See Japanese page) 
(in English) Collective rhythms in networks of coupled dynamical elements often play important functional roles in real-world systems, such as beating hearts and synchronized power grids. Such networks are generally described by high-dimensional nonlinear dynamical systems. When the collective rhythm of the network corresponds to a limit-cycle orbit of the underlying dynamical system, a collective phase can be introduced along the limit-cycle orbit and the collective rhythm of the network can be described using a simple one-dimensional phase equation. In this talk, it is shown that the conventional phase reduction theory for low-dimensional nonlinear oscillators can be generalized to networks of coupled dynamical systems, where individual characteristics of the elements can be heterogeneous and the topology of the network can be arbitrary. In particular, a set of coupled adjoint equations governing the phase sensitivity functions, which characterize linear response property of the collective phase to applied perturbations, is derived. As an example, collective oscillations in a network of FitzHugh-Nagumo elements with both oscillatory and excitatory characteristics are considered and their synchronization properties, such as entrainment to a periodic input, and mutual synchronization between networks due to inter-network coupling or common noise, are analyzed.
Keyword (in Japanese) (See Japanese page) 
(in English) Networks of coupled dynamical systems / collective oscillations / synchronization / phase reduction / / / /  
Reference Info. IEICE Tech. Rep., vol. 118, no. 168, CCS2018-25, pp. 1-6, Aug. 2018.
Paper # CCS2018-25 
Date of Issue 2018-07-25 (CCS, IN) 
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 IN CCS  
Conference Date 2018-08-01 - 2018-08-02 
Place (in Japanese) (See Japanese page) 
Place (in English) Kitayuzawa Mori-no-Soraniwa 
Topics (in Japanese) (See Japanese page) 
Topics (in English)  
Paper Information
Registration To CCS 
Conference Code 2018-08-IN-CCS 
Language Japanese 
Title (in Japanese) (See Japanese page) 
Sub Title (in Japanese) (See Japanese page) 
Title (in English) Phase description and synchronization of collective rhythms in networks of coupled dynamical systems 
Sub Title (in English)  
Keyword(1) Networks of coupled dynamical systems  
Keyword(2) collective oscillations  
Keyword(3) synchronization  
Keyword(4) phase reduction  
1st Author's Name Hiroya Nakao  
1st Author's Affiliation Tokyo Institute of Technology (Tokyo Tech.)
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Date Time 2018-08-01 14:00:00 
Presentation Time 50 
Registration for CCS 
Paper # IEICE-CCS2018-25,IEICE-IN2018-12 
Volume (vol) IEICE-118 
Number (no) no.168(CCS), no.169(IN) 
Page pp.1-6 
#Pages IEICE-6 
Date of Issue IEICE-CCS-2018-07-25,IEICE-IN-2018-07-25 

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