A Universal Circuit for Studying and Generating Chaos—Part I: Routes to Chaos

IEEE Transactions on Circuits and Systems I: Fundamental Theory and Applications

Volumn 40, Issue 10, 1993, Pages 732-744

  Chua, Leon O ^a   Wu, Chai Wah ^a   Huang, Anshan ^a   Zhong, Guo Qun ^a  

^a UNIVERSITY OF CALIFORNIA   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

CHAOS THEORY; MATHEMATICAL MODELS; NETWORKS (CIRCUITS); OSCILLATIONS;

BIFURCATING PHENOMENA; CHAOTIC SYSTEMS; CHUA'S OSCILLATOR; UNIVERSAL CIRCUIT;

ELECTRIC NETWORK ANALYSIS;

EID: 0027681883     PISSN: 10577122     EISSN: None     Source Type: Journal    
DOI: 10.1109/81.246149     Document Type: Article

References (23)

1. L. O. Chua, C. W. Wu, A. Huang, and G. Q. Zhong, “A universal circuit for studying and generating chaos, part II: Strange attractors,” IEEE Trans. Circuits Syst. —I: Fundamental Theory Applications, this issue.
2. M. P. Kennedy, “Robust op amp realization of Chua's circuit,” Frequenz, vol. 46, no. 3–4, pp. 66–80, 1992.
3. R. N. Madan, “Observing and learning chaotic phenomena from Chua's circuit,” in Proc. 35th Midwest Symp. Circuits Syst., vol. 736–745, 1992.
4. R. Madan (Guest Editor), “Special issue on Chua's circuit: A paradigm for chaos, part I,” J. Circuit Syst. Comput., vol. 3, Mar. 1993.
5. H. G. Schuster, Deterministic Chaos, An Introduction. VCH, 1988, 2nd ed.
6. L. O. Chua, Y. Yao, and Q. Yang, “Devil's staircase route to chaos in a non-linear circuit,” Int. J. Circuit Theory Applications, vol. 14, no. 4, pp. 315–329, 1986.
7. L. O. Chua, “The genesis of Chua's circuit,” Archiv Elektronik Ubertragungstechnik, vol. 46, no. 4, pp. 250–257, 1992.
8. G. Q. Zhong and F. Ayrom, “Experimental confirmation of chaos from Chua's circuit,” Int. J. Circuit Theory Applications, vol. 13, no. 1, pp. 93–98, 1985.
9. V. S. Anishchenko, M. A. Safonova, and L. O. Chua, “Confirmation of the Afraimovich-Shilnikov torus breakdown theorem via a torus circuit,” IEEE Trans. Circuits Syst. —I: Fundamental Theory Applications, vol. 40, no. 11, Nov. 1993.
10. J. Guckenheimer and P. Holmes, Nonlinear Oscillations, Dynamical Systems, and Bifurcations of Vector Fields. New York: Springer-Verlag, 1983, no. 42, Applied Math. Sci.
11. L. O. Chua, “Global unfolding of Chua's circuits,” IEICE Trans. Fundamentals Electron. Commun. Comput. Sci., vol. E76-A, pp. 704–734, 1993.
12. T. Matsumoto, “A chaotic attractor from Chua's circuit,” IEEE Trans. Circuits Syst., vol. CAS-31, pp. 1055–1058, 1984.
13. G. Q. Zhong and F. Ayrom, “Periodicity and chaos in Chua's circuit,” IEEE Trans. Circuits Syst., vol. CAS-32, pp. 501–503, 1985.
14. T. Matsumoto, L. O. Chua, and M. Komuro, “The double scroll,” IEEE Trans. Circuits Syst., vol. CAS-32, pp. 797–818, 1985.
15. M. Komuro, R. Tokunaga, T. Matsumoto, L. O. Chua, and A. Hotta, “Global bifurcation analysis of the double scroll circuit,” Int. J. Bifurcation Chaos, vol. 1, no. 1, 139–182, 1991.
16. L. O. Chua, M. Komuro, and T. Matsumoto, “The double scroll family, parts I and II,” IEEE Trans. Circuits Syst., vol. CAS-33, pp. 1073–1118, 1986.
17. V. N. Belykh and L. O. Chua, “New type of strange attractor related to the Chua's circuit,” J. Circuits Syst. Comput., vol. 3, pp. 361–374, June 1993.
18. L. O. Chua and G. N. Lin, “Canonical realization of Chua's circuit family,” IEEE Trans. Circuits Syst., vol. 37, pp. 885–902, 1990.
19. M. P. Kennedy, “Three steps to chaos part I: Evolution,” IEEE Trans. Circuits Syst. —I: Fundamental Theory Applications this issue.
20. M. P. Kennedy, “Three steps to chaos part II: A Chua's circuit primer IEEE Trans. Circuits Syst. —I: Fundamental Theory Applications, this issue.
21. R. N. Madan, Ed., Chua's Circuit: A Paradigm for Chaos.Singapore: World Scientific, 1993.
22. L. P. Shil'nikov, “Chua's circuit: Rigorous results and future problems,” IEEE Trans. Circuits Syst. —I: Fundamental Theory Applications, this issue.
23. A. N. Sharkovsky, “Chaos from a time delayed Chua's circuit,” IEEE Trans. Circuits Syst. —I: Fundamental Theory Applications, this issue.