Analizing complexity of dynamical systems based on dynamical frame partiton
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    Abstract:

    There is a good property of topology conjugated between the dynamics system and the symbolic dynamics. In this paper, dynamic frame partition method, which is used to transform the time series of the dynamical system into the symbolic time series, is proposed. We compute the LempelZiv complexity value of the symbolic series. And then the intrinsic complexity of the system can be made qualitative analysis. At last, a numerical simulation result indicates that the proposed method can describe the complexity of the dynamics system and can qualitatively estimate the property of the system.

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History
  • Received:September 13,2005
  • Revised:November 06,2005
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