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Keywords: fractals
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Journal Articles
Publisher: ASME
Article Type: Research Papers
J. Vib. Acoust. June 2008, 130(3): 031004.
Published Online: April 3, 2008
... , 21 , pp. 780 – 794 . Mandelbrot , B. B. , and Van Ness , J. W. , 1968 , “ Fractional Brownian Motions, Fractional Noises and Applications ,” SIAM Rev. 0036-1445 10.1137/1010093 10 , 422 – 437 . Wornell , G. , 1996 , Signal Processing With Fractals , Prentice-Hall...
Journal Articles
Publisher: ASME
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...