NDLI: Automatic identification of fractal scaling region in GP algorithm

Content Provider	IEEE Xplore Digital Library
Author	Wang Chengdong Ling Dan Miao Qiang
Copyright Year	2010
Description	Author affiliation: School of Mechatronics Engineering, University of Electronic Science and Technology of China, 611731, China (Wang Chengdong; Ling Dan; Miao Qiang)
Abstract	The identification of the linear segment in the double logarithmic curve, also known as scaling region or non-scale range, is important in Grassberger-Procaccia (GP) algorithm. The second-order derivative of log-log curves within the scaling region should be zero or near to zero because the line is nearly straight in that region. Based on this idea, a new method to automatically determine the fractal scaling region is presented. The time series data of the Lorenz strange attractor is applied to validate the method. The numerical results show that the scaling region can be determined accurately and automatically by this method which is both simple and with clear physical meaning.
Starting Page	262
Ending Page	265
File Size	435436
Page Count	4
File Format	PDF
ISBN	9781424480258
e-ISBN	9781424480265
DOI	10.1109/ICACIA.2010.5709897
Language	English
Publisher	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Publisher Date	2010-12-17
Publisher Place	China
Access Restriction	Subscribed
Rights Holder	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Subject Keyword	Chaos Computers second-order derivative Correlation Fractal Heuristic algorithms correlation dimension Time series analysis Fractals scaling region Mathematical model
Content Type	Text
Resource Type	Article

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