A laboratory-based nonlinear dynamics course for science and engineering students

American Journal of Physics

Volumn 69, Issue 5, 2001, Pages 591-597

  Sungar, N ^a   Sharpe, J P ^a   Moelter, M J ^a   Fleishon, N ^a   Morrison, K ^a   Mcdill, J ^a   Schoonover, R ^a  

^a CALIFORNIA POLYTECHNIC STATE UNIVERSITY   (United States)

Author keywords

01.50.P; 05.45

Indexed keywords

EID: 85013115355     PISSN: 00029505     EISSN: 19432909     Source Type: Journal    
DOI: 10.1119/1.1351147     Document Type: Article

References (19)

1. S. H. Strogatz, Nonlinear Dynamics and Chaos: with Applications to Physics, Biology, Chemistry, and Engineering (Addison–Wesley, Reading, MA, 1994).
2. R. C. Hilborn, Chaos and Nonlinear Dynamics: An Introduction for Scientists and Engineers (Oxford U.P., New York, 1994).
3. Robert C. Hilborn and Nicholas B. Tufillaro, “Resource Letter ND-1: Nonlinear Dynamics,” Am. J. Phys. AJPIAS 65, 822–834 (1997).AJPIAS
4. W. Lauterborn, T. Kurz, and M. Wiesenfeldt, Coherent Optics: Fundamentals and Applications (Springer, New York, 1995), Chap. 10.
5. J. D. Murray, Mathematical Biology (Springer Verlag, New York, 1993).
6. H. Gollwitzer, DIFFERENTIAL SYSTEMS 4.0 (U’Betcha Publications, 554 Evans Road, Springfield, PA 19064, 1996); (610) 544-9257, hgollwit@mcs.drexel.edu
7. G. Fletcher, “A mechanical model of first- and second-order phase transitions,” Am. J. Phys. AJPIAS 65, 74–81 (1997).AJPIAS
8. R. V. Mancuso, “A working mechanical model for the first- and second-order phase transitions and the cusp catastrophe,” Am. J. Phys. AJPIAS 68, 271–277 (2000).AJPIAS
9. S. R. Bishop and M. S. Soliman, “The prediction of ship capsize: Not all fractals are environment friendly,” in Application of Fractals and Chaos, edited by Crilly, Earnshaw, and Jones (Springer-Verlag, New York, 1993).
10. K. Briggs, “Simple experiments in chaotic dynamics,” Am. J. Phys. AJPIAS 55, 1083–1089 (1987).AJPIAS
11. K. Dreyer and F. R. Hickey, “The route to chaos in a dripping water faucet,” Am. J. Phys. AJPIAS 59, 619–627 (1991).AJPIAS
12. J. E. Berger and G. Nunes, “A mechanical Duffing oscillator for the undergraduate laboratory,” Am. J. Phys. AJPIAS 65, 841–846 (1997).AJPIAS
13. Earle S. Scott, Rodney Schreiner, Lee R. Sharpe, Bassam Z. Shakhashiri, and Glen E. Dirreen, “Oscillating Chemical Reactions,” in Chemical Demonstrations, edited by B. Z. Shakhashiri (University of Wisconsin Press, Madison, WI, 1985), Vol. 2, Chap. 7.
14. T. Shinbrot, C. Grebogi, J. Wisdom, and J. A. Yorke, “Chaos in a double pendulum,” Am. J. Phys. AJPIAS 60, 491–499 (1992).AJPIAS
15. R. B. Levien and S. M. Tan, “Double pendulum: An experiment in chaos,” Am. J. Phys. AJPIAS 61, 1038–1044 (1993).AJPIAS
16. J. A. Campbell, “Beating Heart,” J. Chem. Educ. JCEDA8 34, A105 (1957), and also see the letter on p. 362.JCEDA8
17. M. P. Kennedy, “Three Steps to Chaos. I Evolution,” IEEE Trans. Circuits Syst., I: Fundam. Theory Appl. ITCAEX 40 (10), 640–656 (1993); ITCAEX
18. M. P. Kennedy, “Three Steps to Chaos. II A Chua's Circuit Primer,” IEEE Trans. Circuits Syst., I: Fundam. Theory Appl. 40, 657–674 (1993).ITCAEX
19. S. J. Van Hook and M. F. Schatz, “Simple demonstrations of pattern-formation,” Phys. Teach. PHTEAH 35, 391–395 (1997).PHTEAH