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FIGURE 2.5
                              Plot of multiple Hénon orbits having the same a = 0.25 but random starting points.

                                for n=1:1500
                                   for m=1:40
                                   x(1,m)=-0.99+2*rx(m);
                                   y(1,m)=-0.99+2*ry(m);

                                   x(n+1,m)=a*x(n,m)-b*(y(n,m)-(x(n,m))^2);
                                   y(n+1,m)=b*x(n,m)+a*(y(n,m)-(x(n,m))^2);
                                   end
                                end
                                plot(x,y,'r.')
                                axis([-1 1 -1 1])
                                axis square




                             2.9  Generation of Special Functions from Their Recursion
                                  Relations*
                             In this section, we go back to more classical mathematics. We consider the
                             case of the special functions of mathematical physics. In this case, we need to


                             © 2001 by CRC Press LLC
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