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fractaldimensionofchaosattractor

于 2010-03-04 发布 文件大小:4KB
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  在重构相空间的基础上计算吸引子的分形维时,合适的嵌入维m和时间滞后τ的选取至关重要.在虚假邻域概念基础上,本文给出了确定m和τ的方法.较之以前的方法,此方法更准确、简单、容易理解、易实施,对较小样本数据集也可靠.最后的应用实例验证了理论的正确性.(In the reconstructed phase space based on the calculation of the fractal dimension of attractor, the appropriate embedding dimension m and time lag τ selection is essential. In a mock neighborhood based on the concept, this paper presents the method to determine m and τ. Compared with the previous methods, this method is more accurate, simple, easy to understand, easy to implement on a smaller set of sample data is also reliable. The last application example to verify the theoretical correctness.)

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