Duffing map

This article includes a list of references, related reading, or external links, but its sources remain unclear because it lacks inline citations. Please help improve this article by introducing more precise citations. (June 2013) (Learn how and when to remove this message)

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

${\displaystyle x_{n+1}=y_{n}}$

${\displaystyle y_{n+1}=-bx_{n}+ay_{n}-y_{n}^{3}.}$

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.

• Duffing oscillator on Scholarpedia

This fractal–related article is a stub. You can help Wikipedia by expanding it.

• v
• t
• e