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<p>A weighted and an un-weighted transition network are built and applied to analyze the characteristics of a chaotic time series. The topological entropy, the correlation entropy, the correlation dimension and the maximal Lyapunov exponents of the chaotic time series are estimated by the transition network. The analysis reveals the relationship between the chaotic time series and its corresponding transition network. By estimating those characteristics for two artificial chaotic time series, it concludes that the transition network is a useful tool to analyze a chaotic time series.</p>

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Chaotic Time Series Analysis: A View of Transition Networks

  • 期刊论文

  • 发表日期：

    2025年8月6日

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  • Zuohuan Zheng,
  • Pengcheng Xu

摘要

A weighted and an un-weighted transition network are built and applied to analyze the characteristics of a chaotic time series. The topological entropy, the correlation entropy, the correlation dimension and the maximal Lyapunov exponents of the chaotic time series are estimated by the transition network. The analysis reveals the relationship between the chaotic time series and its corresponding transition network. By estimating those characteristics for two artificial chaotic time series, it concludes that the transition network is a useful tool to analyze a chaotic time series.