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 (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.
Famous quotes containing the word map:
“A map of the world that does not include Utopia is not worth even glancing at, for it leaves out the one country at which Humanity is always landing.”
—Oscar Wilde (1854–1900)