Duffing map

[Image:DuffingMap.png|right|thumb|Plot of the Duffing map showing chaotic behavior, where a = 2.75 and b = 0.15.]
Image:Tw duffing.png|right|thumb|Phase portrait of a two-well Duffing oscillator showing chaotic behavior.
The Duffing map is a discrete-time dynamical system. It is an example of a dynamical system that exhibits chaotic behavior. The Duffing map takes a point in the plane and maps it to a new point given by
The map depends on the two constants a and b. These are usually set to a = 2.75 and b = 0.2 to produce chaotic behaviour. It is a discrete version of the Duffing equation.