# Orbits of Martin's Map

Orbits of Martin's Map

This is the two-dimensional map known as Martin's map: =-sgn(), =a-.

x

k+1

y

k

x

k

b-c

x

k

y

k+1

x

k

Orbits are generated by iterating the map times using different initial points. The map parameters , , and can be varied manually or a random set can be launched. Three orbits are plotted initially, starting from three different initial points marked by locator objects "". You can drag these initial points or add and/or delete new ones (Alt+Click on Windows) inside the plot. Three orbit colors are used cyclically.

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a

b

c

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