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 LempelZiv 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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李建康,张春利,解幸幸,李舒.基于动态标架分割法的动力学系统复杂性分析[J].动力学与控制学报,2006,4(1):43~48; Li Jiangkang, Zhang Chunli, Xie Xingxing, Li Shu. Analizing complexity of dynamical systems based on dynamical frame partiton[J]. Journal of Dynamics and Control,2006,4(1):43-48.