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ファイル | 記述 | サイズ | フォーマット | |
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PhysRevE.109.024217.pdf | 1.31 MB | Adobe PDF | 見る/開く |
タイトル: | Reconstruction of phase dynamics from macroscopic observations based on linear and nonlinear response theories |
著者: | Yamaguchi, Yoshiyuki Y. Terada, Yu |
著者名の別形: | 山口, 義幸 |
キーワード: | Coupled oscillators Inverse problems Nonlinear resonance Synchronization Linear response theory Nonlinear Dynamics |
発行日: | Feb-2024 |
出版者: | American Physical Society (APS) |
誌名: | Physical Review E |
巻: | 109 |
号: | 2 |
論文番号: | 024217 |
抄録: | We propose a method to reconstruct the phase dynamics in rhythmical interacting systems from macroscopic responses to weak inputs by developing linear and nonlinear response theories, which predict the responses in a given system. By solving an inverse problem, the method infers an unknown system: the natural frequency distribution, the coupling function, and the time delay which is inevitable in real systems. In contrast to previous methods, our method requires neither strong invasiveness nor microscopic observations. We demonstrate that the method reconstructs two phase systems from observed responses accurately. The qualitative methodological advantages demonstrated by our quantitative numerical examinations suggest its broad applicability in various fields, including brain systems, which are often observed through macroscopic signals such as electroencephalograms and functional magnetic response imaging. |
著作権等: | ©2024 American Physical Society |
URI: | http://hdl.handle.net/2433/287283 |
DOI(出版社版): | 10.1103/PhysRevE.109.024217 |
出現コレクション: | 学術雑誌掲載論文等 |
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