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Science Forum Index » Nonlinear Science Forum » Fractal dimension for Chebyshev maps
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| Guest |
 Posted: Tue Jun 12, 2007 3:15 am |
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I have used Chebyshev maps for different applications, as thay have
good correlation properties and a particular simple polynomial form.
I am interrested now in finding some well known references on the
properties of the time series generated.
I have used myself the Grassberger & Proccacia correlation integral
and correlation dimension expression; For exemple I have found a value
of ~ 0.795 and I didn't find any references on this subject.
Lately I have found even someone saying that correlation dimension is
one for 2nd order polynomial:
f(x) = 2*x^2-1
I am quite lost over here so please give me some help on this problem
Thank you |
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