Sign In Sign-Up

Welcome!

Close

Would you like to make this site your homepage? It's fast and easy...

Yes, Please make this my home page!

No Thanks

  Don't show this to me again.

Close

The Henon Attractor

The Java application which is run through the file Henon.java displays
to the user the solutions to the system of equations given by

x = 1.0 - A*x*x + y
y = B*x

where A and B are real numbered parameters that the user has control of to vary
as desired. It is when the parameters are set near to A = 1.4 and B = 0.3 that
the Henon attractor is displayed as solutions to this dynamical system. This
Henon attractor is really a geometrical object that forms out of the chaotic
behavior of individual solutions which are being plotted on the Canvas. The user
also has control over such settings as the initial values for X and Y , the
domain and range of X and Y as well as the number of iterations to perform in
calculating the precision of the solutions. If the user of this application
makes a mistake or would just like to restart, a 'Restart' button is provided
to set the data fields to their default values. A 'Redraw with your Input
Variables' button is also provided so specific values can be entered and
then drawn on the display.

The Canvas where the solutions are plotted onto accepts mouse clicks. Two
clicks are required and then the minimum and maximum X and Y values are calculated
and the solutions are recomputted in a zoomed in fashion as the domain of the Canvas
is reset. The new domain values are displayed in the appropriate textfields. This
mouse clicking procedure can be repeated and if one wants to zoom back out then
the 'Reset' button will be used to set the defaults or one can manually enter the
desired domain in the textfields. The X and Y axis' are drawn to give the user a
sense of orientation.

Source Code