A novel method to identify the scaling region for chaotic time series correlation dimension calculation |
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| Authors: | CuiCui Ji Hua Zhu Wei Jiang |
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| Affiliation: | JI CuiCui1,ZHU Hua1* & JIANG Wei2 1 School of Mechanical & Electrical Engineering,China University of Mining and Technology,Xuzhou 221116,China,2 Institute of Medical and Biological Engineering,School of Mechanical Engineering,University of Leeds,Leeds LS2 9JT,UK |
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| Abstract: | To obtain more accurate correlation dimension estimations for chaotic time series, a novel scaling region identification method is developed. First, points that obviously do not belong to the scaling region associated with the whole double logarithm correlation integral curve are removed using the K-means algorithm. Second, a point-slope-error algorithm is developed to recognize a possible scaling region. Third, the K-means algorithm is used again to further remove a small interval of interfering points in ... |
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| Keywords: | scaling region correlation dimension chaotic time series attractor |
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