相空间反演方法及其在海洋资料分析中的应用
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摘要: 时间序列重建相空间理论是研究实验数据所隐含着非线性复杂现象(如奇怪吸引子、分形、自相似结构及混沌)的有力工具.本文在时间序列重建相空间理论基础上,建立了在嵌入相空间中反演动力系统方法,并将此方法应用于TOGA COARE提供的海表温度(SST)时间序列资料分析中,给出了奇怪吸引子关联维数、嵌入相空间维数、Lyapunov特征指数、Kolmogorov熵及可预报时间尺度.利用相空间中反演动力系统,在可预报时间尺度上进行预报实验,其结果与实测值基本一致.
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关键词:
- 时间序列 /
- 关联维数 /
- Lyapunov特征指数 /
- Kolmogorov熵 /
- 反演方法
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