Demonstrations

Chaos Pendula

Code Number :	3A95.50
Disclaimer:	Reprinted by permission of Dick Berg, University of Maryland, for use on this website. The demonstrations contained and referenced herein are listed for the purposes of cataloging and describing physics demonstrations which should be conducted only under the direction of a trained instructional support professional or physicist. These demonstrations are not presented for the purpose of being conducted by persons unconnected to this Facility and/or persons not consulting with or being supervised by the recognized instructional support professional or physicist and his/her staff. The University is responsible only for those demonstrations carried out using its own equipment using established safety and scheduling policies, and bears no responsibility for those choosing to use this source material for their own purposes. All demonstrations described and contained herein are public domain, and can also be found in reference materials in libraries, bookstores, and electronic sources. Further information regarding legal liability in use of demonstrations and labs will be found on the web site Injuries in School/College Laboratories in USA. The University of Iowa Disclaimers: University of Iowa Disclaimer All Rights Reserved..
Condition :	Excellent
Principle :	Potential to Kinetic Energy, Simple Harmonic Motion
Area of Study :	Acoustics
Equipment :	Chaos Pendulums, Double Planar Pendulum.
Procedure :	The double planar pendulum shows what the addition of another degree of freedom does to the behavior of a pendulum. The chaos Pendula are designed so that you may go from one degree of freedom to 5 degrees of freedom in many different configurations, usually used for a deeper understanding of chaotic behavior.

References

Fabio Augusto Meira Cassaro, Sergio da Costa Saab, Luiz Antonio Bastos Bernardes, and Jeremias Borges da Silva, "The "Sparking Chaotic Pendulum": Trajectories of a Chaotic Pendulum Revealed", TPT, Vol. 42, # 1, Jan. 2004, p. 47.

Douglas Oliver, "A Chaotic Pendulum," TPT, Vol. 37, # 3, p. 174, March 1999.

R.W. Robinett and P.E. Sokol, "Investigating Physical Pendula with K'Nex," TPT, Vol. 34, # 7, p. 427- 429, (Oct. 1996).

Donald H. Esbenshade Jr., "Computer-Specific Initial Conductions and Chaos", TPT, Vol. 32, # 1, Jan. 1994, p. 40.

Alan Cromer, Michael B. Silevitch, "Chaos in the Corridor", TPT, Vol. 30, # 6, Sept. 1992, p. 382.

Marvin L. De Jong, "Chaos and the Simple Pendulum", TPT, Vol. 30, # 2, Feb. 1992, p. 115.

Robert Ehrlich, "Three Mechanical Demonstrations of Chaos," TPT, Vol. 28, # 1, p. 26, (January 1990).

Joe Pizzo, "The Perplexing Pendulum," TPT, Vol. 24, # 6, p. 360, September 1986.

Joe Pizzo, "The Perplexing Pendulum", TPT, Vol. 24, # 6, Sept. 1986, p. 360.

R. D. Edge, "Coupled and Forced Oscillations", TPT, Vol. 19, # 7, Oct. 1981, p. 485.

Priscilla W. Laws, "A Unit on Oscillations, Determinism and Chaos for Introductory Physics Students", AJP, Vol. 72, # 4, Apr. 2004, p. 446.

Robert C. Hilborn, "Sea Gulls, Butterflies, and Grasshoppers: A Brief History of the Butterfly Effect in Nonlinear Dynamics", AJP, Vol. 72, # 4, Apr. 2004, p. 425.

Robert DeSerio, "Chaotic Pendulum: The Complete Attractor", AJP, Vol. 71, # 3, March 2003, p. 250.

Azad Siahmakoun, Valentina A. French, and Jeffrey Patterson, "Nonlinear Dynamics of a Sinusoidally Driven Pendulum in a Repulsive Magnetic Field," AJP, 65, (5), May 1997.

R.B. Levien and S.M. Tan, "Double Pendulum: An Experiment in Chaos," AJP, 61, (11), Nov. 1993).

Troy Shinbrot, Celso Grebogi, Jack Wisdom, and James A. Yorke, "Chaos in a Double Pendulum," AJP, 60 ,(6), June 1992.

Stephen F. Felszeghy, "On the Adequacy of Newtonian Particle Mechanics for Solving the Rigid Double Pendulum Problem," AJP, 53, 3, (March 1985).

W. Stadler, "On the Adequacy of Newtonian Particle Mechanics for Solving the Rigid Double Pendulum Problem," AJP, 53, (3), March 1985.

W. Stadler, "Inadequacy of the Usual Newtonian Formulation for Certain Problems in Particle Mechanics," AJP, 50, (7), July 1982.

Ian Stewart, "Dicing With Death In The Solar System," Analog Science Fiction/Science Fact Magazine, p. 57.

Peter Weiss, "The Physics of Flutter," How it Works - Science Supplement, Spring 2000, p. 224- 228.

Robert Ehrlich, "Chaotic Motion of a Pendulum," Turning the World Inside Out, p. 35 - 37.

Ron Hipschman, "Chaotic Pendulum," Exploratorium Cookbook III, 200.1 - 200.3

"Strange Attractor," Exploratorium Science Snackbook, p. 95.1 - 95.2.

Neil. A. Downie, "Chaotic Clocks", Ink Sandwiches, Electric Worms and 37 Other Experiments for Saturday Science, p. 1.

Neil. A. Downie, "Chaotic Regularity", Ink Sandwiches, Electric Worms and 37 Other Experiments for Saturday Science, p. 4.

Mail Questions and Comments to: Dale Stille