7 Fixed point iteration $f(x)=x-x^3$ a sink at $x=0$

This shows fixed point iteration of $f(x)=x-x^3$ with 2 seeds, one using $x_0=0.6$ and one using $x_0=-0.6$ in the first plot (top left corner plot).

It shows the fixed point interation is stable and converges to the limit $x=0$ from both sides. Hence $x=0$ is a sink.

Additional animations shown in the table below, are zoom versions of the same iterations that used the seed $x=0.6$ in order to obtain better views.

Original version	zoom in more
Pause Play Restart Step forward Step back	Pause Play Restart Step forward Step back