关键词: 混沌, 相空间重构, 嵌入延迟矢量, 嵌入维数

Abstract: Cao method proposed in Ref.5 is only applied to determine embedding dimension.The improved Cao method presented extends the Cao method’s application field.This new method can be used to estimate not only embedding dimension but also embedding delay vector.Using the new method，it is possible to settle the phase space reconstruction problem by a multiple delay embedding.The numerical simulation results show preliminarily that the improved method is suitable and valid in phase space reconstruction of time series.Especially in dealing with the time series consisting of multiple strong periodicities with greatly differing timescales，the new method has obvious advantage over other uniform delay embedding methods.

Key words: chaos, phase space reconstruction, embedding delay vector, embedding dimension