Inferring Phase Equations from Multivariate Time Series

• Tokuda, Isao

• Jain, Swati

• Kiss, Istvan Z.

• Hudson, John L.

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.

identifier:https://dspace.jaist.ac.jp/dspace/handle/10119/7771

収録刊行物

• Physical Review Letters

  Physical Review Letters 99 (6), 064101-1-064101-4, 2007-08-08

  American Physical Society

詳細情報

• CRID: 1050282812513954432
• NII論文ID: 120001009649
• ISSN: 00319007
• Web Site: http://hdl.handle.net/10119/7771
• 本文言語コード: en
• 資料種別: journal article
• データソース種別:
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