Pictorial Renormalization Group - Demo 7

a=3.4

For a=3.4

the fixed point in the rescaled, truncated plot of f ² has moved to x>0.5. The slope of f ² is becoming more negative, but is still greater than -1 so the fixed point is stable.

Plotting the full range without scaling (and starting from the same point) the orbit looks like

and in the original plot of the map f: