Abstract
In this paper, an effective method from time series to complex network via phase space reconstruction is introduced. We reconstruct the phase space from a time series by the time-delay coordinate method. Each state vector of phase space is regarded as a vertex of network and the connection is based on the distance of the vertices in phase space. The networks corresponding to various time series, the x component of the chaotic Rössler system, noisy periodic time series and random series, display different topology feature. So we can determine whether a time series is chaotic series by the topology feature of corresponding network. Finally, the daily stream-flow series of Yangtze River is investigated to validate the effective of our method.
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