Duffing map

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 (x_n, y_n) in the plane and maps it to a new point given by

$x_{n%2B1}=y_n\,$

$y_{n%2B1}=-bx_n%2Bay_n-y_n^3.\,$

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.

External links

Duffing oscillator on Scholarpedia

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