Plotting mechanism for iterated one dimensional functions. A good example is the Logistic Map.
Usually an interation function of the form:
It visually maps the sequence of values by plotting:
and diagonally reflecting across the line:
creating a “cobweb” of vertical and horizontal steps that converge toward fixed points, cycles, or chaos, revealing the long-term behavior of the system
G
Important Terms:
- Source: the function being iterated, e.g. for the Logistic Map.
- Sink: the line where the output of the function is equal to the input.