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Title: Correlation and distribution analyses of estimated fractal dimensions and husrt's exponent from waveforms of excited non linear pendulum
Authors: Salau, T. A. O.
Ajide, O. O.
Issue Date: 2013
Publisher: Global Journals Inc (USA)
Abstract: "This study utilised correlation and distribution analyses to investigate the acceptability of Parameters. selection sensitive simulation of the excited nonlinear pendulum waveforms was performed with the constant time step fourth order Runge-Kutta algorithm with codes developed in FORTRAN90. However, the waveforms validated by Gregory and Jerry (1990) and treated as time series were characterized using developed codes of Carlos (1998) and Hurst fractal dimension estimation procedures. The validation results compare. qualitatively well and the correlation coefficients between Carlos (1998)-based and Hurst's exponent based dimension estimate for the angular displacement and velocity are respectively R2 = 0.68 and R2 = 0.66. A higher correlation coefficient (R2 = 0.84) existed between the estimated Hurst's exponent of the angular displacement and velocity. The Hurst distribution exhibited both full spectrum and peak values range 0.04 to 1.00 and percentage probability range 2 to 12. The sum of this study results is the interchange possibility and utility of the two fractal dimension estimators as waveforms characterising tool. "
ISSN: 2249-4596
Appears in Collections:scholarly works

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