BREANT FREDERIC                                                                                              




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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