Variations of the Gingerbreadman Map

This Demonstration plots orbits of the two-dimensional iterative map (a variation of the gingerbreadman map): , . The orbits are generated by iterating the map 3000 times using different initial points. Six orbits are plotted initially, starting from positions marked by the locator objects "". You can drag these initial points or add and/or delete new ones inside the plot. Each orbit is colored differently and the colors are repeated cyclically.