| 用一维时间序列确定吸引子维数应注意的两个问题 |
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| 引用本文： | 李建平.用一维时间序列确定吸引子维数应注意的两个问题[J].高原气象,1996,15(2):229-233. |
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| 作者姓名： | 李建平 |
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| 作者单位： | 兰州大学大气科学系 |
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| 基金项目： | 国家基础性研究重大关键项目 |
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| 摘 要： | 该文给出了严格自相似和统计自相似的区别，并由此讨论了用一维时间序列确定吸引子维数应注意的两个问题，即维数计算公式中的标度范围及比例系数问题和双对数图与Ｄ－ｍ图的关系问题。
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| 关 键 词： | 分维 严格自相似 统计自相似 时间序列 吸引子 |
TWO CONSIDERABLE PROBLEMS ON THE DIMENSION OF ATTRACTOR FROM ONE-DIMENSION TIME SERIES OF THE EXPERIMENTAL DATA |
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| Li Jianping.TWO CONSIDERABLE PROBLEMS ON THE DIMENSION OF ATTRACTOR FROM ONE-DIMENSION TIME SERIES OF THE EXPERIMENTAL DATA[J].Plateau Meteorology,1996,15(2):229-233. |
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| Authors: | Li Jianping |
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| Abstract: | In this paper,the difference between strict self-similar and statistical self-similar has been given. Based on the difference,two considerable problems on the dimension of attractor from one-dimension time series of the experimental data,namely,the range of scale and the coefficient of proportion in the formula of fractal dimension,and the relationship between the doublelogarithmic figure and the D-m figure are discussed. |
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| Keywords: | Fractal dimension Strict self-similar Statistical self-similar Double logarithmic figure D-m figure |
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