# 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:
x_{n+1} = x_{n} + y_{n} +
K · sin(x_{n})

x_{n+1} = y_{n} +
K · sin(x_{n})

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 !

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