Strange
attractors, as we'll see it, are a link between the chaos and the fractals.
From a dynamic point of view, there are chaotics and from a geometric
point of view, there are fractals. Four sort of attractor exist [ cf fig
1], and the Henon's attractor belongs to the fourth category. An attractor
is loosely an itered function, all of whose points remain within
a close interval. That is to say, starting with a function and some initial
value, determine the value of the function at that initial value, plug
it back into the function to find the next input value. As a simple example,
consider the function f(x)=x^2 with the restriction x=[0,1].
in that case, all iterates of the function are attracted to a single point,
namely, zero.
A strange attractor, such as Henon's attractor, is an attractor with a
noninteger dimension (socalled fractal dimension). So, the aim of this
work is to write programs, using
the software "Matlab", in order to study some strange properties of that
attractor .
fig 1 : the four sort of attractor

