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 |
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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CCS2018-25 IN2018-12 |
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 |
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(See Japanese page) |
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Paper Information |
Registration To |
CCS |
Conference Code |
2018-08-IN-CCS |
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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) |
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Networks of coupled dynamical systems |
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collective oscillations |
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synchronization |
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phase reduction |
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Hiroya Nakao |
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Tokyo Institute of Technology (Tokyo Tech.) |
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Speaker |
Author-1 |
Date Time |
2018-08-01 14:00:00 |
Presentation Time |
50 minutes |
Registration for |
CCS |
Paper # |
CCS2018-25, IN2018-12 |
Volume (vol) |
vol.118 |
Number (no) |
no.168(CCS), no.169(IN) |
Page |
pp.1-6 |
#Pages |
6 |
Date of Issue |
2018-07-25 (CCS, IN) |
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