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A measure nu of a strange attractor which allows the presence of chaos to be distinguished from random noise. It is related to the capacity dimension D and information ...

Consider a set of points X_i on an attractor, then the correlation integral is C(l)=lim_(N->infty)1/(N^2)f, where f is the number of pairs (i,j) whose distance |X_i-X_j|<l. ...

The covercosine, also called the coversed cosine, is a little-used trigonometric function defined by covercos(z) = vercos(1/2pi-z) (1) = 1+sinz, (2) where vercosz is the ...

A fractal curve of infinite length which bounds an area twice that of the original square.

A Julia set with c=-0.123+0.745i, also known as the dragon fractal.

A portion of the Mandelbrot set centered around 0.3+0i with size approximately 0.1+0.1i.

A type of dimension which can be used to characterize fat fractals.

The fractal illustrated above.

A Cantor set with Lebesgue measure greater than 0.

Fatou dust is a Fatou set for a point outside the underlying set. Such a set has zero area and has an infinite number of disconnected components.