scholarly journals On fractal dimensions of soil radon gas time series

Author(s):  
Muhammad Rafique ◽  
Javid Iqbal ◽  
Syed Ahsin Ali Shah ◽  
Aftab Alam ◽  
Kashif Javed Lone ◽  
...  
Fractals ◽  
2006 ◽  
Vol 14 (01) ◽  
pp. 71-76 ◽  
Author(s):  
SANGRAK KIM

This paper describes fractal behaviors in a soccer game according to the player's position. It is quite important for us to characterize the fractal motion behaviors of the objects during the game. We obtained two-dimensional coordinates of the objects using standard video processing techniques from a computer soccer game. We calculated values of regularization dimensions of the time series to characterize their fractal behaviors. To see positional dependence, we averaged individual player's values over the same position in the same team. When a team is one-sidedly experiencing a severe attack, its defenders have higher fractal dimensions than those of the opponent's corresponding players. We propose a new measure of relative dominance in attack against the opponent team.


2019 ◽  
Vol 154 ◽  
pp. 108861 ◽  
Author(s):  
Aleem Dad Khan Tareen ◽  
Malik Sajjad Ahmed Nadeem ◽  
Kimberlee Jane Kearfott ◽  
Kamran Abbas ◽  
Muhammad Asim Khawaja ◽  
...  

2001 ◽  
Vol 1 (3) ◽  
pp. 119-126 ◽  
Author(s):  
N. Smirnova ◽  
M. Hayakawa ◽  
K. Gotoh ◽  
D. Volobuev

Abstract. The long-term evolution of scaling (fractal) characteristics of the ULF geomagnetic fields in the seismoactive region of the Guam Island is studied in relation to the strong (Ms = 8.0) nearby earthquake of 8 August 1993. The selected period covers 10 months before and 10 months after the earthquake. The FFT procedure, Burlaga-Klein approach and Higuchi method, have been applied to calculate the scaling exponents and fractal dimensions of the ULF time series. It is found that the spectrum of ULF emissions exhibits, on average, a power law behaviour S(f ) α f -b , which is a fingerprint of the typical fractal (self-affine) time series. The spectrum slope b fluctuates quasi-periodically during the course of time in a range of b = 2.5–0.7, which corresponds to the fractional Brownian motion with both persistent and antipersistent behaviour. An tendency is also found for the spectrum slope to decrease gradually when approaching the earthquake date. Such a tendency manifests itself at all local times, showing a gradual evolution of the structure of the ULF noise to a typical flicker noise structure in proximity to the large earthquake event. We suggest considering such a peculiarity as an earthquake precursory signature. One more effect related to the earthquake is revealed: the longest quasi-period, which is 27 days, disappeared from the variations of the ULF emission spectrum slope during the earthquake, and it reappeared three months after the event. Physical interpretation of the peculiarities revealed has been done on the basis of the SOC (self-organized criticality) concept.


2019 ◽  
Vol 203 ◽  
pp. 48-54 ◽  
Author(s):  
Aleem Dad Khan Tareen ◽  
Khawaja M. Asim ◽  
Kimberlee Jane Kearfott ◽  
Muhammad Rafique ◽  
Malik Sajjad Ahmed Nadeem ◽  
...  

1999 ◽  
Vol 48 (4-6) ◽  
pp. 437-446 ◽  
Author(s):  
M.C. Breslin ◽  
J.A. Belward

2012 ◽  
Vol 04 (01n02) ◽  
pp. 1250015 ◽  
Author(s):  
JOHN L. AVEN ◽  
ARNOLD J. MANDELL ◽  
RICHARD COPPOLA

We present a method for enhancing signals possessing nonlinear and nonstationary characteristics, which we call weighting functional-empirical mode decomposition (WF-EMD). The filtering method is based upon the empirical mode decomposition (EMD) and utilizes an energy-based weighting scheme to recombine the decomposed modes into a single cleansed version of the signal. The filter has been developed in such a way that no restrictive assumptions about the data are required. Furthermore, the temporal resolution of the data is left unaltered, as it would occur in many common data-smoothing methods. The design of this filter has been influenced by improving the calculation accuracy of dynamical measures, such as fractal dimensions and Lyapunov exponents, of neurodynamical recordings such as those obtained through electroencephalography (EEG) or magnetoencephalography (MEG).


2000 ◽  
Vol 5 (1) ◽  
pp. 71-74 ◽  
Author(s):  
B. S. Daya Sagar

A sand dune is simulated by means of a non-linear mathematical morphological transformation of which the fractal dimensions with corresponding interslipface angles are computed. This exercise has relevance to test the Validity of the model by considering various time series sand dune data that can be retrieved from the robust satellite remote sensing sensors.


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