本計畫係為期三年(2011 年8 月至2014 年7 月)的基礎研究計畫,研究主題為「複雜系統的相位動力學研究」,主要目的係在建構非穩態複雜系統時間序列的相位動力學分析方法及其理論基礎,以及將所建構的方法應用於研究複雜系統。本計畫擬探討的複雜系統包含生醫系統與經濟系統,主要研究的問題包括: 1. 建構非穩態複雜系統時間序列之相位動力學方法的理論基礎 2. 分析心室震顫的心電圖訊號性質,識別心室震顫在早期心電圖中的前兆 3. 建立新的金融時間序列分析架構及發展對應的物理模型本計畫可望達成的目標有: 1. 發展新的時間序列分析方法 2. 了解心室顫動的心電圖訊號性質,及從早期心電圖中預測心室震顫 3. 了解金融時間序列的性質,改良現有以經驗法則為基礎的經濟模型預期本計畫之研究成果對相關領域的基礎研究將具有極高的應用與參考價值。本計畫執行期間也可望每年在SCI 期刊發表數篇重要研究論文。 This is a three‐year‐term (2011.8~2014.7) research project entitled “Phase Dynamics of Complex Systems”. The aim of the project is to develop phase dynamics approach to nonstationary time series of complex systems and the corresponding theoretical foundation, and the applications of the developed approach to the study of typical complex systems. The complex systems of interest include biomedical system and economic system. The main research problems of the present project include: 1. Developing theoretical foundation for the phase dynamics approach to nonstationary time series of complex systems 2. Characterizing ventricular fibrillation (VF) ECG and identifying precursors of VF in early (normal) ECG 3. Establishing a new framework for financial time series analysis and Developing of the corresponding physical model We expect the present project will reach the following achievements: 1. Development of new approaches for time series analysis 2. Understanding the properties of VF ECG signal, and identification of precursors of VF in early ECG 3. Better understanding of the properties of financial time series, and improving the experience‐based formulation of economic models We expected that our research results will be helpful and useful for fundamental researches of related fields. It is also expected that every year a number of important research papers can be published in SCI Journals based on researches of this project. 研究期間:10008 ~ 10107