# 2-Dimensional Maps - Demo 1

## Henon Map

The Henon Map is defined by the equations

*
*
x_{n+1} |
= |
y_{n} + 1 - ax_{n}^{2} |

y_{n+1} |
= |
bx_{n} |

For *a=1.4* *b=0.3* this map shows chaotic behavior:
Successively enlarge portions of the plot to discern structure at finer and finer scales by dragging the mouse to outline a rectangle on the stopped plot . (You may want to increase "Points" to 1000 or even 10000 or more for the larger magnifications.) A click outside the plot will return the scale to the default value.

There are various other features of the applet that will be used later.

Return to text.

[Demos Introduction]
[Next Demonstration]
[Introduction]

Last modified Tuesday, December 7, 1999

Michael Cross