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BREANT FREDERIC

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*HENON'S ATTRACTOR*

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__I.
Introduction.__

Michel Henon was an astronomer
at Nice Observatory in southern France. He came to the subject of fractals
via investigations of the orbits of astronomical objects. The strange attractor
most often linked with Henon's name comes not from a differential equation,
but from the world of discrete mathematics - difference equations. The
Henon map is an example of a very simple dynamic system that exhibits strange
behaviour. The equations that generate strange patterns are :
x(n+1) = 1 + y(n) -a * x(n) * x(n)

y(n+1) = b * x(n)

The main objective of this
study is to make a C program to plot images of the strange phenomenon,
first described by Henon.

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