oscilloscope, chaos with a diode circuit board
oscilloscope display
oscilloscope display
settings on a oscilloscope panel

 

Code Number: 3A95.55

Demo Title: Change of a Diode

Condition: Excellent

Principle: Chaotic Electronic Circuits

Area of Study: Oscillations & Acoustics

Equipment: 

Wave generator, oscilloscope, chaos with a diode circuit board.

Procedure:

See also: 3A95.55 in Chaos and Rube Goldberg.

Set the oscilloscope to XY plot and connect to the circuit board.  The wave generator should be set at 90 to 135 Khz.  A stable trace should be shown on the oscilloscope until you change the initial conditions slightly with the DC offset of the wave generator.  At that time the trace will go into a chaotic oscillation.

References:

  • Richard V. Mancuso and Elise M. Somerset, "Changing of the State of a Diode and Chaos", TPT, Vol. 35, #1, Jan. 1997, p. 31.
  • Ishan Deo, Krishnacharya Khare, "A Simple Electronic Circuit Demonstrating Hopf Bifurcation for an Advanced Undergraduate Laboratory", AJP, Vol. 90, #12, Dec. 2022, p. 908.
  • Richard J. Wiener, Kristine E. Callan, Stephen C. Hall, and Thomas Olsen, "Proportional Feedback Control of Chaos in a Simple Electronic Oscillator", AJP, Vol. 74, #3, Mar. 2006, p. 200.
  • Prodyot Kumar Roy, Arijit Basuray, Emanuel Gluskin, "On Power Supplies Used for Laboratory Demonstration of Chaotic Electronic Oscillators", AJP, Vol. 73, #11, Nov. 2005, p. 1082.
  • Ken Kiers, Dory Schmidt, and J. C. Sprott, "Precision Measurements of a Simple Chaotic Circuit",  AJP, Vol. 72, #4, Apr. 2004, p. 503.
  • Ned J. Corron, Shawn D. Pethel, and Buckley A. Hopper, "A Simple Electronic System for Demonstrating Chaos Control", AJP, Vol. 72, #2, Feb. 2004, p. 272.
  • Daniel J. Gauthier, "Resource Letter: CC-1: Controlling Chaos", AJP, Vol. 71, #8, Aug. 2003, p. 750.
  • Prodyot Kumar Roy and Arijit Basuray, "A High Frequency Chaotic Signal Generator: A Demonstration Experiment", AJP, Vol. 71, #1, Jan. 2003, p. 34.
  • B. K. Jones and G. Trefan, "The Duffing Oscillator: A Precise Electronic Analog Chaos Demonstrator for the Undergraduate Laboratory", AJP, Vol. 69, #4, Apr. 2001, p. 464.
  • J. C. Sprott, "Simple Chaotic Systems and Circuits", AJP, Vol. 68, #8, Aug. 2000, p. 758.
  • Thomas P. Weldon, "An Inductorless Double Scroll Chaotic Circuit", AJP, Vol. 58, #10, Oct. 1990, p. 936.
  • Keith Briggs, "Simple Experiments in Chaotic Dynamics", AJP, Vol. 55, #12, Dec. 1987, p. 1083.
  • E. L. M. Flerackers, H. J. Janssen, and L. Beerden, "Piecewise Linear Anharmonic LRC Circuit for Demonstrating 'Soft' and 'Hard' Spring Nonlinear Resonant Behavior", AJP, Vol. 53, #6, June 1985, p. 574.
  • T. Mishina, T. Kohmoto, and T. Hashi, "Simple Electronic Circuit for the Demonstration of Chaotic Phenomena", AJP, Vol. 53, #4, Apr. 1985, p. 332.
  • H. J. T. Smith and K. A. Woolner, "Inexpensive Demonstration of an Anharmonic Oscillator", AJP, Vol. 52, #9, Sep. 1984, p. 800.
  • Julien Clinton Sprott, "4.9. Chaotic Circuits", Physics Demonstrations, ISBN 0-299-21580-6, p. 204., #9, Sep.
  • Douglas Smith, "How to Generate Chaos At Home", The Amateur Scientist, Jan. 1992.