| Presentation | 2022-11-25 A study on Participation factor for nonlinear dynamical systems based on Koopman mode decomposition Kenji Takamichi, Yoshihiko Susuki, Marcos Netto, Atsushi Ishigame, |
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| PDF Download Page |  PDF download Page Link |
| Abstract(in Japanese) | (See Japanese page) |
| Abstract(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) |
| Keyword(in English) | Koopman operator / nonlinear system / participation factor / phase-amplitude reduction / Lyapunov exponent |
| Paper # | NLP2022-79 |
| Date of Issue | 2022-11-17 (NLP) |
| Conference Information | |
| Committee | NLP |
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| Conference Date | 2022/11/24(2days) |
| Place (in Japanese) | (See Japanese page) |
| Place (in English) | |
| Topics (in Japanese) | (See Japanese page) |
| Topics (in English) | |
| Chair | Akio Tsuneda(Kumamoto Univ.) |
| Vice Chair | Hiroyuki Torikai(Hosei Univ.) |
| Secretary | Hiroyuki Torikai(Sojo Univ.) |
| Assistant | Yuichi Yokoi(Nagasaki Univ.) / Yoshikazu Yamanaka(Utsunomiya Univ.) |
| Paper Information | |
| Registration To | Technical Committee on Nonlinear Problems |
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| Language | JPN |
| 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 |
| 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.) |
| Date | 2022-11-25 |
| Paper # | NLP2022-79 |
| Volume (vol) | vol.122 |
| Number (no) | NLP-280 |
| Page | pp.pp.103-108(NLP), |
| #Pages | 6 |
| Date of Issue | 2022-11-17 (NLP) |