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基于C—C方法的嵌入延迟时间和延迟时间窗方法的改进 被引量:1

Improvement of the Embedding Delay Time and Its Window Based on C-C Method
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摘要 由于混沌系统对初值的敏感依赖性、真实数据长度有限并含有大量的噪声,利用C—C方法对于来自于混沌系统中的真实数据进行计算,得到的嵌入延迟时间和延迟时间窗具有一定的波动性。使用基于密度的聚类算法,分别对利用C—C方法得到的多组嵌入延迟时间和延迟时间窗数据进行聚类分析,使最接近于真实的嵌入延迟时间和延迟时间窗数据分别形成2个不同的簇,分别对这2个簇求它的平均值,结果就是所求的嵌入延迟时间和延迟时间窗数据。最后通过数值仿真试验证明了这种方法的可靠性。 For chaotic systems are sensitive to initial conditions,the real data with noise are limited in length.The results of embedding delay time and its window are fluctuant.Cluster algorithm based on density is used to analyze the data from C-C Method.As a result,the different clusters are got,which are closer to the real value by averaging the values of embedding delay time and its window.Theoretically,the result of simulations verifies that the method is reliable.
作者 孙达辰
出处 《长江大学学报(自然科学版)》 CAS 2011年第2期83-84,282,共2页 Journal of Yangtze University(Natural Science Edition)
关键词 时间序列 密度的聚类 相空间 C—C方法 混沌 time series cluster based on density phase space C-C method chaos
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  • 1赵鸿,柴路,王浩,刘书声.互信息在时间序列分析中的应用[J].应用科学学报,1996,14(1):48-52. 被引量:11
  • 2Grassberger P,Procacia I. Measuring the strangeness of strange attractors [J]. Physica D, 1983,9:189~208
  • 3Gibson J F,Farmer J, Casdagli M,et al. An analytic approach to practical state space reconstruction [J]. Physica D, 1992,57:1 ~30
  • 4Sauer T, Yorke, Casdagli M. Embedology [J]. Journal of Statistical Physics, 1991,65:579~616
  • 5Widman G,Lehnertz K,Jansen P,et al. A fast general purpose algorithm for the computation of auto-and cross-correlation integrals from single channel data [J]. Physica D, 1998,121: 65~74
  • 6Albano A M,Muench J,Schwartz C,et al. Singular-value decomposition and the Grassberger-Procaccia algorithm [J]. Phys.Rev. A, 1988, 38:3017~3026
  • 7Kennel,Mathew B,Brown R,Abarbanel H D I. Determining embedding dimension for phase-space reconstruction using a geometrical construction [J]. Phy Rev A, 1992,45:3403~3411
  • 8Abarbanel H D I,Brown R,Sidorowich J J,et al. The analysis of observed chaotic data in physical systems [J]. Reviews of Modern Physics, 1993, 65(4):1331~1392
  • 9Cao Liangyue. Practical method for determining the minimum embedding dimension of a scalar time series [J]. Physica D, 1997,110:43~50
  • 10Broomhead D,King G. Extracting qualitative dynamics from experimental data [J]. Physica D, 1986,20:217~236

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