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Changing the Scale

To see fine structure, it is often desirable to zoom in on a particular portion of the phase space. Conversely, sometimes a larger phase space perspective is desired. Changing the scale of the view window can be accomplished by editing the Min: and Max: text fields to the right of the horizontal and vertical variables. Change the minimum z value to -100 instead of -5 and change the maximum to 100. Be sure and enter a Carriage-Return after you edit each text field -- then select Refresh from the Options menu button and the orbits will appear compressed and much further away. (Figure [*]) This process can also be used to zoom in, or to view any rectangular portion of the xz-plane.

It is also possible to rescale using a ``rubber-band'' method. This is often preferred for zooming in, whereas the method described above is often preferred for zooming out. Position the mouse pointer in the view window near the upper left corner of the Lorenz attractor. Press \framebox{Shift-SELECT} and keep the \framebox{SELECT} button depressed. (You may release the Shift key.) Now drag down and to the right until the attractor is enclosed in a rectangle called the rescaling box. When the attractor is satisfactorily enclosed within the rescaling box, release \framebox{SELECT}. A notifier box offering the options of zoom in, zoom out, or cancel will pop up. Click \framebox{SELECT} on the button zoom in. The attractor will be displayed larger than it was before. (Figure [*])


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1998-11-02