Chaotic maps

Duffing map

The Duffing map (also called as 'Holmes 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 (xn, yn) 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. (Wikipedia).

Duffing map
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Related pages

Dynamical system | Function (mathematics) | Chaos theory | Duffing equation | Constant (mathematics)