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物理学报  2005 

Information theory approach to determine embedding parameters for phase space reconstruction of chaotic time series
混沌时序相空间重构参数确定的信息论方法

Keywords: chaos,phase space reconstruction,mutual information,conditional entropy,symbolic analysis
混沌,
,相空间重构,,互信息,,条件熵,,符号分析

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Abstract:

We have studied the determination of delay time and embedding dimension for phase space reconstruction of chaotic time series using the information theory. We use the symbolic analysis method to compute mutual information for determining the delay time. Furthermore we also present an information theory approach to determine embedding dimension. That is, we determine the embedding dimension by considering the variation of the conditional entropy of the reconstructed vector with its dimension. Numerical simulations verify that the method is applicable for determining an appropriate embedding dimension.

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