next up previous contents
Next: Planar Cross Section Up: Experimental Techniques Previous: Experimental Techniques

Experimental Cross Section

 

Variables measured directly in the string apparatus include the forcing phase, tex2html_wrap_inline14105 , and the displacement amplitudes of the string, x(t) and y(t). The phase is measured directly from the function generator that provides the sinusoidal current to the wire. The string displacement is measured from the optical detectors that record the horizontal and vertical displacement at a fixed point along the wire. In addition, the wire's velocity can be measured by sending the amplitude displacement signal through a differentiator , a circuit that takes the analog derivative of an input signal.

Many approaches are possible for constructing an experimental Poincaré section . The particular approach taken depends on both the type of system and the equipment at hand. Here, we assume that the lab is stocked with a dual-trace storage oscilloscope and some basic electronic components. A different approach might be taken, for instance, if we have access to a digital oscilloscope either in the form of a commercial instrument or a plug-in board to a microcomputer.




Nicholas B. Tufillaro
Mon Mar 3 01:58:02 PST 1997