Standard Map

The Standard Map, introduced by B.V. Schirikow, is a set of iteration equations for two variables x and y. They are defined as:

xn+1 = xn + yn + K · sin(xn)
xn+1 = yn + K · sin(xn)

The standard map represents the phase space diagram for a periodically initiated pendulum. The parameter K determines the strength of the impetus. For K=0 the system is a standard pendulum.

Using the applet

You may change the value for the parameter K as well as the number of iterations for each randomly chosen starting point in the applet's input fields and click the 'draw' button to plot the new diagram.

Have fun with it !

A Java applet appears here.

Peter Uelkes
Last modified: Fri May 25 19:31:31 CEST 2001