Pictorial Renormalization Group - Demo 7


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:

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Last modified Sunday, December 12, 1999
Michael Cross