A comparison of commercial chaotic pendulums

American Journal of Physics

Volumn 66, Issue 9, 1998, Pages 821-830

  Blackburn, James A ^a   Baker, Gregory L ^b  

^a WILFRID LAURIER UNIVERSITY   (Canada)

^b Bryn Athyn College of the New Church   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0040115313     PISSN: 00029505     EISSN: None     Source Type: Journal    
DOI: 10.1119/1.18966     Document Type: Article

References (16)

1. Daedalon Corp., Box 2028, Salem, MA.
2. Leybold Didactic GMBH, D-50354 Huerth, Germany.
3. Pasco Scientific, 10101 Foothills Blvd., Roseville, CA.
4. TEL-Atomic, Inc., Box 924, Jackson, MI.
5. J. A. Blackburn, S. Vik, Wu Binruo, and H. J. T. Smith, "Driven Pendulum for studying chaos," Rev. Sci. Instrum. 60, 422-426 (1989).
6. R. C. Hilborn and N. B. Tufillaro, "Resource Letter: ND-1: Nonlinear dynamics," Am. J. Phys. 65, 822-834 (1997).
7. G. L. Baker and J. P. Gollub, Chaotic Dynamics: An Introduction (Cambridge U.P., Cambridge, 1996), 2nd ed.
8. F. C. Moon, Chaotic and Fractal Dynamics, an Introduction for Applied Scientists and Engineers (Wiley, New York, 1992).
9. See, for example, D. G. Zill and M. R. Cullen, Differential Equations with Boundary-Value Problems (PWS Kent, Boston, 1993), 3rd ed., pp. 232-246.
10. H. D. I. Abarbanel, Analysis of Observed Chaotic Data (Springer-Verlag, New York, 1996).
11. R. Jan de Korte, J. C. Schouten, and C. M. van den Bleek, "Experimental control of a chaotic pendulum with unknown dynamics using delay coordinates," Phys. Rev. E 32, 3358-3365 (1995); R. Bakker, J. C. Schouten, F. Takens, and C. M. van den Bleek, "Neural network model to control an experimental chaotic pendulum," ibid. 54, 3545-3552 (1996).
12. R. Jan de Korte, J. C. Schouten, and C. M. van den Bleek, "Experimental control of a chaotic pendulum with unknown dynamics using delay coordinates," Phys. Rev. E 32, 3358-3365 (1995); R. Bakker, J. C. Schouten, F. Takens, and C. M. van den Bleek, "Neural network model to control an experimental chaotic pendulum," ibid. 54, 3545-3552 (1996).
13. S. Beckert, U. Schock, C. D. Schülz, T. Weidlich, and E. Kaiser, "Experiments on the bifurcation behaviour of a forced nonlinear pendulum,Phys. Lett. A 107, 347-350 (1985).
14. P. Laws, Workshop Physics Activity Guide (Wiley, New York, 1997), see Module 2, Unit 15.
15. B. I. Bleaney and B. Bleaney, Electricity and Magnetism (Oxford U. P., London, 1959), see pp. 319-321 for a discussion of torque in ac induction motors.
16. Here are three examples. Page 256 of Ref. 7 provides order information for inexpensive software that is primarily but not exclusively dedicated to the pendulum. More comprehensive intermediate-level general chaos packages are available from Physics Academic Software, Box 8202, North Carolina State University, Raleigh, NC 27695-8202. Advanced level software is available with the book by H. E. Nusse and J. A. Yorke, Dynamics: Numerical Explorations (Springer-Verlag, New York, 1994).