I did this first back in May this year when I was researching Lotka-Volterra modified models. I "improved" the constants to get a better clearer cycle to show....
yes. actualy it is very easy! do you have any files in order to use? Kostas ... From: payam dehghani To: caostheory@yahoogroups.com Sent: Monday, August 02,...
A very long time ago (it seems) I programmed up a library of functions which had Legendre, Tschebysheff, Bessel and several other types. All I had to do with...
The summing functions used come from standard tables of functions which I adapted and limited for use in programs. This Bessel function is probably better as a...
I thought I would test my Farey rational dimensions that I got in Mathematica. I spent a long time this morning putting through different Besicovitch -Ursell ...
The Hydrology of the Nile J.V. Sutcliffe and Y.P. Parks, 1999. Wallingford, England: International Association of Hydrological Sciences, IAHS Special...
Calculating the Hurst Exponent Let me give a specific example of Hurst exponent calculation which will illustrate the general rule. Suppose there are 99 yearly...
http://homepages.cwi.nl/~paulv/kolmogorov.html * Pointwise Randomness. Kolmogorov complexity is a modern notion of randomness dealing with the quantity of...
Dear Christopher Mann, I found that link from looking up Hurst in "Multifractals and 1/f Noise" by B. B. Mandelbrot after someone in sci.fractals asked about...
William Feller ... Born: 7 July 1906 in Zagreb, Croatia Died: 14 Jan 1970 in New York, USA <http://www-gap.dcs.st-and.ac.uk/%7Ehistory/PictDisplay/Feller.html>...
It is the 1965 version of Kolmogorov's ideas that are in question, but they are still measure theory based ideas. It may be in a definition of randomness in...
I developed this by symmetrically making 16 transforms from four and then, getting rid of the overlapping transforms one at a time ( five of them). ( I had to...
Feigenbaum Period Doubling and RG Mathematica Answers (* The logistic map is an inverted parabola, depending on a parameter mu. *) f[x_] := 4 mu x (1-x) Chaos,...
I found a very important effect yesterday: The devil's staircase is obtained by integrating Cantor cartoons... The first cartoon I integrated was the Farey...
Lyapunov calculation in Mathematica: The lce link is working and I got the package to work at least partially: Nonlinear dynamical systems Numerical...
2.4 Semimajor axis and Lyapunov exponents The other proper element is proper semimajor axis ap, which in principle is obtained by removing the short periodic...
I, too, had noticed this. Barnsley's company seems to have disappeared off the web! I think it is a technology thing in which several big companies had better...
REU at IC - Fractals Useful Websites Introduction to rotation matrices <http://www.euclideanspace.com/maths/algebra/matrix/orthogonal/rotation/>. Details...
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