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| Presentation | 2022-11-25 15:40 A study on Participation factor for nonlinear dynamical systems based on Koopman mode decomposition Kenji Takamichi (Osaka Prefecture Univ.), Yoshihiko Susuki (Kyoto Univ.), Marcos Netto (NREL), Atsushi Ishigame (Osaka Prefecture Univ.)  NLP2022-79 |
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| Abstract | (in Japanese) | (See Japanese page) |
| (in English) | The so-called participation factor analysis has been used to evaluate the relative contribution between state vari- ables and modes in linear time invariant systems. In this report, we consider its generalization that is applicable to nonlinear systems using the Koopman Mode Decomposition (KMD). Our approach is based on how the time response of an autonomous system is sensitive to the infinitesimal change of one state variable, and is related to the Lyapunov exponent and the theory of phase-amplitude reduction. By calculating the KMD-based participation factor for a solvable limit-cycling system, we compare the relevance and differences between our approach and the traditional concepts. | |
| Keyword | (in Japanese) | (See Japanese page) |
| (in English) | Koopman operator / nonlinear system / participation factor / phase-amplitude reduction / Lyapunov exponent / / / | |
| Reference Info. | IEICE Tech. Rep., vol. 122, no. 280, NLP2022-79, pp. 103-108, Nov. 2022. | |
| Paper # | NLP2022-79 | |
| Date of Issue | 2022-11-17 (NLP) | |
| ISSN | 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 | NLP2022-79 |
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| Conference Information | |
| Committee | NLP |
| Conference Date | 2022-11-24 - 2022-11-25 |
| Place (in Japanese) | (See Japanese page) |
| Place (in English) | |
| Topics (in Japanese) | (See Japanese page) |
| Topics (in English) | |
| Paper Information | |
| Registration To | NLP |
| Conference Code | 2022-11-NLP |
| Language | Japanese |
| Title (in Japanese) | (See Japanese page) |
| Sub Title (in Japanese) | (See Japanese page) |
| Title (in English) | A study on Participation factor for nonlinear dynamical systems based on Koopman mode decomposition |
| Sub Title (in English) | |
| Keyword(1) | Koopman operator |
| Keyword(2) | nonlinear system |
| Keyword(3) | participation factor |
| Keyword(4) | phase-amplitude reduction |
| Keyword(5) | Lyapunov exponent |
| Keyword(6) | |
| Keyword(7) | |
| Keyword(8) | |
| 1st Author's Name | Kenji Takamichi |
| 1st Author's Affiliation | Osaka Prefecture University (Osaka Prefecture Univ.) |
| 2nd Author's Name | Yoshihiko Susuki |
| 2nd Author's Affiliation | Kyoto University (Kyoto Univ.) |
| 3rd Author's Name | Marcos Netto |
| 3rd Author's Affiliation | National Renewable Energy Laboratory (NREL) |
| 4th Author's Name | Atsushi Ishigame |
| 4th Author's Affiliation | Osaka Prefecture University (Osaka Prefecture Univ.) |
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| Speaker | Author-1 |
| Date Time | 2022-11-25 15:40:00 |
| Presentation Time | 25 minutes |
| Registration for | NLP |
| Paper # | NLP2022-79 |
| Volume (vol) | vol.122 |
| Number (no) | no.280 |
| Page | pp.103-108 |
| #Pages | 6 |
| Date of Issue | 2022-11-17 (NLP) |
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