File:Fixed.png
Summary
| Description | |
| Source | Own work |
| Author | Adam majewski |
Maxima CAS src code
/* functions for computing fixed points ; */
give_beta(_c):= (1+sqrt(1-4*_c))/2 $ /* maxima sqrt can handle negative numbers */
give_alfa(_c):= (1-sqrt(1-4*_c))/2 $
xMax:1;
xMin:-1.39;
yMin:-1;
yMax:2;
/* root points */
p_pts:[-0.75,0.25];
py:[yMin,yMin];
/* centers of hyperbolic components of F1/2 family ( on real axis) */
centers:[0]; /* periods: 1 */
cy:[yMin];
load(draw);
draw2d(
user_preamble="set border 3",
terminal = png,
file_name="fixed",
pic_height= 1000,
pic_width= 1000,
title = "fixed z-points for c along horizontal axis for fc(z)= z*z +c ",
ylabel = "z-point",
xlabel = "c-coefficient",
/* yrange = [yMin,yMax],
/* period 1 */
key = " beta",
color = red,
explicit(give_beta,x,xMin,xMax),
key = " alfa",
color = blue,
explicit(give_alfa,x,xMin,xMax),
/* grid and tics */
xtics = {-2,-1.25,-1,-3/4,0,0.25},
/* -2,root points,centers, 0 */
/*xtics_axis = true, plot tics on x-axis */
xtics_rotate = true,
ytics = {-2,-1,-0.5,0,0.5,1,1.5,2},
grid = true, /* draw grid*/
/* special points */
point_type = filled_circle,
point_size = 1.5,
points_joined = false,
color = black,
key = "parabolic points",
points(p_pts,py),
color = red,
key = "centers",
points(centers,cy)
)$
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