A comparative study of two-dimensional multifractal detrended fluctuation analysis and two-dimensional multifractal detrended moving average algorithm to estimate the multifractal spectrum

2016 ◽  
Vol 454 ◽  
pp. 34-50 ◽  
Author(s):  
Caiping Xi ◽  
Shuning Zhang ◽  
Gang Xiong ◽  
Huichang Zhao
Keyword(s):  
Comparative Study ◽  
Detrended Fluctuation Analysis ◽  
Moving Average ◽  
Multifractal Spectrum ◽  
Fluctuation Analysis ◽  
Two Dimensional ◽  
Multifractal Detrended Fluctuation Analysis ◽  
Detrended Fluctuation

Fish Sound Characterization Using Multifractal Detrended Fluctuation Analysis

2020 ◽  
Vol 19 (01) ◽  
pp. 2050009 ◽  
Author(s):  
Kranthikumar Chanda ◽  
Shubham Shet ◽  
Bishwajit Chakraborty ◽  
Arvind K. Saran ◽  
William Fernandes ◽  
...  
Keyword(s):  
Hurst Exponent ◽  
Detrended Fluctuation Analysis ◽  
Linear Method ◽  
Multifractal Spectrum ◽  
Fluctuation Analysis ◽  
Multifractal Detrended Fluctuation Analysis ◽  
Generalized Hurst Exponent ◽  
Estuarine Systems ◽  
Detrended Fluctuation ◽  
Sound Data

This work involves the application of a non-linear method, multifractal detrended fluctuation analysis (MFDFA), to describe fish sound data recorded from the open waters of two major estuarine systems. Applying MFDFA, the second-order Hurst exponent [Formula: see text] values are found to be [Formula: see text] and [Formula: see text] for the fish families Batrachoididae (common name: Toadfish) and Sciaenidae (common name: Croakers, drums), respectively. The generalized Hurst exponent [Formula: see text]-related width parameters [Formula: see text] are found to be [Formula: see text] and [Formula: see text], respectively, for toadfish and Sciaenidae vocalizations, implying greater heterogeneity and multifractal characteristics. The results suggest that the Sciaenidae fish calls are smoother in comparison with Batrachoididae. Clustering of multifractal spectrum-related parameters with respect to toadfish and Sciaenidae vocalization characteristics is observed in this analyses.

Multifractal Detrended Fluctuation Analysis on Friction Coefficient During the Friction Process

2017 ◽  
Vol 140 (1) ◽  
Author(s):  
Guodong Sun ◽  
Hua Zhu ◽  
Cong Ding ◽  
Yuankai Zhou
Keyword(s):  
Friction Coefficient ◽  
Detrended Fluctuation Analysis ◽  
Tribological Behavior ◽  
Multifractal Spectrum ◽  
Fluctuation Analysis ◽  
Friction Process ◽  
Multifractal Detrended Fluctuation Analysis ◽  
Aisi 52100 ◽  
Aisi 1045 ◽  
Detrended Fluctuation

The dynamic evolutionary law and tribological behavior of tribopair AISI 52100-AISI 1045 were studied via the multifractal method. Friction experiment was performed on a ring-on-disk tribometer under lubrication, and the multifractal detrended fluctuation analysis (MF-DFA) method was adapted to characterize the multifractality of the friction coefficient. The multifractal spectra first exhibited a left-hook, then right-hook, and left-hook, respectively, during the friction stages. The multifractal spectrum width W decreases in running-in friction process, maintains at small values in steady friction process, and increases rapidly in increasing friction process. Corresponding shuffled series was analyzed to distinguish that the multifractality of friction coefficient is due to the long-range correlation of the fluctuations. The results inform quantitative interpretations of friction system's tribological behavior and friction process identification.

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