Monofractality of the Time Series Generated by Golden Section

Hong Zhang; Ke Qiang Dong

doi:10.4028/www.scientific.net/AMR.430-432.1721

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HomeAdvanced Materials ResearchAdvanced Materials Research Vols. 430-432Monofractality of the Time Series Generated by...

Monofractality of the Time Series Generated by Golden Section

Abstract:

The purpose of the present study is to investigate the presence of fractal behaviours in the time series generated by the golden section using both statistical and geometrical approaches. The power spectrum, the statistical moment and the singular spectrum are calculated for the generated time series. The results from these methods indicate that the time series exhibit the monofractal behaviour.

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Periodical:

Advanced Materials Research (Volumes 430-432)

Pages:

1721-1724

DOI:

https://doi.org/10.4028/www.scientific.net/AMR.430-432.1721

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Online since:

January 2012

Authors:

Hong Zhang, Ke Qiang Dong

Keywords:

Golden Section, Monofractal, Singular Spectrum

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