Oscillations and Waves > Oscillations > Nonlinear Systems DCS# 3A95.55
CHAOS CIRCUIT
chaos circuit setup
APPARATUS
R-L-diode circuit 101-02-C1
HP 8111A function generator 202-08-G
oscilloscope 202

DESCRIPTION
Use scope to display VR vs time or VR vs input voltage.   Vary the driving frequency to show the transition from periodic to chaotic behavior. Several period doublings can be observed.

NOTES
The onset of chaotic behavior occurs at about 2 MHz.

For the interactive display:  use the modified power supply (202-08-D) to control the function generator in VCO mode.


REFERENCES

Douglas Smith.  "How to Generate Chaos At Home."  The Amateur Scientist (January, 1992).

TPT 35 (1), 31

Rollins, R.W. and E.R. Hunt (1982).  “Exactly Solvable Model of a Physical System Exhibiting Universal Chaotic Behavior.”  Physical Review Letters, Vol. 49, pp. 1295-1298.

Testa, James, Jose Perez and Carson Jeffries (1982).  “Evidence for Universal Chaotic Behavior of a Driven Nonlinear Oscillator.”  Physical Review Letters, Vol. 48, pp. 714-716.