Orbits of the Gingerbreadman Map
Orbits of the Gingerbreadman Map
We introduce a parameter in the classical two-dimensional gingerbreadman map, =||-(1-λ/5000)+1, =, .
λ
x
k+1
x
k
y
k
y
k+1
x
k
k=1,2,…
Orbits are generated by iterating the map 3000 times using different initial points. Six orbits are plotted initially, starting from six different initial points marked by the locator objects "".
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You can drag these initial points or add and/or delete new ones (Alt+Click on Windows) inside the plot.
Each orbit is colored differently and the colors are repeated cyclically every six orbits.