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このアイテムの引用には次の識別子を使用してください:
http://hdl.handle.net/10119/7771
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| タイトル: | Inferring Phase Equations from Multivariate Time Series |
| 著者: | Tokuda, Isao
Jain, Swati
Kiss, Istvan Z.
Hudson, John L. |
| 発行日: | 2007-08-08 |
| 出版者: | American Physical Society |
| 誌名: | Physical Review Letters |
| 巻: | 99 |
| 号: | 6 |
| 開始ページ: | 064101-1 |
| 終了ページ: | 064101-4 |
| DOI: | 10.1103/PhysRevLett.99.064101 |
| 抄録: | An approach is presented for extracting phase equations from multivariate time series data recorded from a network of weakly coupled limit cycle oscillators. Our aim is to estimate important properties of the phase equations including natural frequencies and interaction functions between the oscillators. Our approach requires the measurement of an experimental observable of the oscillators; in contrast with previous methods it does not require measurements in isolated single or two-oscillator setups. This noninvasive technique can be advantageous in biological systems, where extraction of few oscillators may be a difficult task. The method is most efficient when data are taken from the nonsynchronized regime. Applicability to experimental systems is demonstrated by using a network of electrochemical oscillators; the obtained phase model is utilized to predict the synchronization diagram of the system. |
| Rights: | I. T. Tokuda, S. Jain, I.Z. Kiss, J.L. Hudson, Physical Review Letters, 99(6), 2007, 064101-1-064101-4. Copyright 2007 by the American Physical Society. http://link.aps.org/doi/10.1103/PhysRevLett.99.064101 |
| URI: | http://hdl.handle.net/10119/7771 |
| 資料タイプ: | publisher |
| 出現コレクション: | b10-1. 雑誌掲載論文 (Journal Articles)
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このアイテムのファイル:
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記述 |
サイズ | 形式 |
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| A11206.pdf | | 166Kb | Adobe PDF | 見る/開く |
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