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Keywords: fractals
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Journal Articles
Journal:
Journal of Vibration and Acoustics
Article Type: Research Papers
J. Vib. Acoust. June 2008, 130(3): 031004.
Published Online: April 3, 2008
.... Mandelbrot and Van Ness ( 10 ) introduced the concept of fractals for objects whose exact dimensions depend on the scale of measurement. Fractal time series are modeled by means of two classes of signals with well-defined autocorrelation functions, namely, the fractional Gaussian noise (FGN) and fractional...
Journal Articles
Journal:
Journal of Vibration and Acoustics
Article Type: Technical Papers
J. Vib. Acoust. April 2002, 124(2): 198–208.
Published Online: March 26, 2002
... in the horizontal and vertical directions under different operating conditions. The maximum Lyapunov exponent and fractal dimension concepts are used to determine if the system is in a state of chaotic motion. Numerical results show that the maximum Lyapunov exponent of this system is positive and the dimension...
