A chaotic oscillator as a musical signal generator in an interactive performance system

Journal of New Music Research

Volumn 26, Issue 1, 1997, Pages 17-47

  Choi, Insook ^a  

^a UNIVERSITY OF ILLINOIS AT URBANA CHAMPAIGN   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 84977661088     PISSN: 09298215     EISSN: 17445027     Source Type: Journal    
DOI: 10.1080/09298219708570715     Document Type: Article

References (33)

1. Bargar, R., Choi, I., Das, S., and Goudeseune, C., Model-based interactive sound for an immersive virtual environment. Proceedings of the ICMC. San Francisco. pp. 471–474. International Computer Music Association.
2. Beyls, P., 1991. Choas and creativity: The dynamic systems approach to musical composition. Leonardo Music Journal, 1(1): 30–36.
3. Bidlack, R., 1993. Chaotic systems as simple (but complex) compositional algorithms. Computer Music Journal, 16(3): 33–47.
4. Choi, I., October 20–23 1993a. “ Anti-Odysseus: The Irreversibility of Time. Composition for interactive performance with Chua's Circuit, Center for New Music and Audio Technology (CNMAT) ”. October 20–23, Korea: U.C. Berkeley and Numerical Laboratory at National Center for Supercomputing Application (NCSA), University of Illinois at Urbana-Champaign, premiered in World Expo, Taejon and Seoul. 1993
5. Choi, I., 1993b. Shadowing Lemma: r ϵ[3.9, 3.905706] where period 5 cycle occurs, Urbana-Champaign: Composition for computer generated and processed sounds, Computer Music Project and Experimental Music Studios, University of Illinois.
6. Chua, L.O., Wu, C.W., Huang, A., and Zhong, G.Q., 1993. A universal circuit for studying and generating chaos, part I: Route to chaos. IEEE Transactions on Circuits and Systems — I: Fundamental Theory and Applications, 40(10): 732–744.
7. Chua, L.O., 1993. Global unfolding of Chua's circuit. IEICE Transactions on Fundamentals of Electronics, Communications and Computer Sciences, E746-A(5): 704–734.
8. Di Scipio, A., Composition by exploration of nonlinear dynamical systems. Proceedings of the ICMC. San Francisco. pp. 324–327. International Computer Music Association.
9. Freed, A., 1992. “ Tools for rapid prototyping of music sound synthesis algorithms ”. In Proceedings if the ICMC 178–181. San Jose
10. Gogins, M., 1991. Iterated function systems music. Computer Music Journal, 15(1): 40–48.
11. Kennedy, P.M., 1993. Three steps to chaos, Part II: A Chua's circuit primer. IEEE Transactions on Circuits and Systems — I: Fundamental Theory and Applications, 40(10): 657–674.
12. Kennedy, P.M., 1992. Robust op amp realization of Chua's circuit. Frequenz, 46(3–4)
13. Loy, G., 1985. Musicians make a standard: the MIDI phenomenon. Computer Music Journal, 9(4)
14. Madan, R.N., ed. 1993. Chua's Circuit: A Paradigm for Chaos, River Edge, NJ: World Scientific.
15. Mayer-Kress, G., Choi, I., Weber, N., Bargar, R., and Hübler, A., 1993a. Musical signals from Chua's circuit. IEEE Transactions on Circuits and Systems — I: Fundamental Theory and Applications, 40(10): 688–695.
16. Mayer-Kress, G., Choi, I., and Bargar, R., Sound synthesis and music composition using Chua's oscillator. Proc. NOLTA93. Honolulu.
17. Ogorzalek, M.J., 1993. Taming chaos, Part II: control. IEEE Transactions on Circuits and Systems—I: Fundamental Theory and Applications, 40(10): 700–706.
18. Ott, E., Grebogi, C., and Yorke, J.A., 1990. Controlling chaos. Physics Review Letter, 64(11): 1196–1199.
19. Pressing, J., 1988. Nonlinear maps as generators of music design. Computer Music Journal, 12(2): 35–46.
20. Rodet, X., Nonlinear oscillator models of musical instrument excitation. Proceedings of the ICMC. San Jose. pp. 412–413.
21. Rodet, X., 1993a. Sound and music from Chua's circuit. Journal of Circuits, Systems and Computers, Special Issue on Chua's Circuit: a Paradigm for Chaos, 3(1): 49–61.
22. Rodet, X., 1993b. Models of musical instruments from Chua's circuit with time delay. IEEE Transactions on Circuits and Systems - I: Fundamental Theory and Applications, 40(10): 696–701.
23. Rodet, X., Stability/instability of periodic solutions and chaos in physical models of musical instruments. Proceedings of the ICMC. Aarhus, Denmark. pp. 386–393.
24. Shil'nikov, L.P., 1994. Chua's circuit: Rigorous results and future problems. International Journal of Bifurcation and Chaos, 4(3): 489–519.
25. Silva, C.P., 1993. Shil'nikov's theorem — A tutorial. IEEE Transactions on Circuits and Systems — I: Fundamental Theory and Applications, 40(10): 675–682.
26. Truax, B., Chaotic non-linear systems and digital synthesis: an exploratory study. Proceedings of the ICMC. San Francisco. pp. 100–103. International Computer Music Association.
27. Tufillaro, N.B., Abbott, T., and Reilly, J., 1992. An Experimental Approach to Nonlinear Dynamics and Chaos. Addison-Wesley
28. Weber, N., 1993. “ Private communication ”. CCSR, University of Illinois.
29. Wiggins, S., 1990. Introduction to Applied Nonlinear Dynamical Systems and Chaos, vol. 2, New York: Springer-Verlag.
30. Zhao, T.C., and Overmars, M., 1995. Forms Library, University of Wisconsin-Milwaukee.
31. Zhong, G.Q., and Ayrom, F., 1985. Experimental confirmation of chaos from Chua's circuit. International Journal of Circuit Theory Applications, 13(1): 93–98.
32. Zhong, G.Q., and Ayrom, F., 1985. Periodicity and chaos in Chua's circuit. IEEE Transactions on Circuits and Systems, CAS-32(5): 501–503.
33. Zhong, G.Q., Bargar, R., and Halle, K.S., 1994. Circuits for voltage tuning the parameters of Chua's circuit: Experimental application for musical signal generation. Journal of the Franklin Institute, 331B(6): 734–784.