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For citation:

O.Chua L. О. Genesis of Chua's scheme. Izvestiya VUZ. Applied Nonlinear Dynamics, 1993, vol. 1, iss. 3, pp. 4-15.

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Russian
Heading: 
Review of Actual Problems of Nonlinear Dynamics
Article type: 
Article
UDC: 
53.072:681.31

Genesis of Chua's scheme

Autors: 
O.Chua Leon Онг, University of California, San Diego
Abstract: 

The article is a systematic presentation of the sequence of technical steps that the author went through in developing a chaos-generating circuit. The design procedure, although clear in nature, could not have been invented without using some important properties of nonlinear circuits and their physical implementations.

Key words: 
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Reference: 
  1. Abraham RH, Show CD. Dynamics: The Geometry of Behavior. Santa Cruz: Aerial Press; 1981. 642 p.
  2. Chua LO. Introduction to Nonlinear Circuit Theory. New York: McGraw-Hill, 1969. 987 p.
  3. Chua LO. Analysis and synthesis of multivalued memoryless nonlinear networks. IEEE Trans. Circuit Theory. 1967;14(2):192-209. DOI: 10.1109/TCT.1967.1082688
  4. Chua LO. Synthesis of new nonlinear network elements. Proc. IEEE. 1968;56(8):1325-1340. DOI: 10.1109/PROC.1968.6574
  5. Chua LO, Wong C. Synthesis of piecewise—linear networks. Electronic Circuits and Systems. 1978;2(4):102-108. DOI: 10.1049/ij-ecs.1978.0023
  6. Chua LO. Dynamic nonlinear networks: state of the art. IEEE Trans. Circuits and Systems. 1980;27(11):1059-1087. DOI: 10.1109/TCS.1980.1084745
  7. Chua LO. Device modeling via basic nonlinear circuit elements. IEEE Trans. Circuits and Systems. 1980;27(11):1014-1044. DOI: 10.1109/TCS.1980.1084742
  8. Chua LO, Ying К. Finding all solutions of piecewise— linear circuits. Int. J. Circuit Theory and Appl. 1982;10(3):201-229. DOI: 10.1002/cta.4490100303
  9. Chua LO, Hasler M, Neirynck J, Verburgh P. Dynamics of a piecewise—linear resonant circuit. IEEE Trans. Circuits and Systems. 1982;29(8):535-547. DOI: 10.1109/TCS.1982.1085192
  10. Chua LO, Ayrom Е. Designing nonlinear single op—amp circuits: a cook—book approach. Int. J. Circuit Theory and Appl. 1985;13(3):235-268. DOI: 10.1002/cta.4490130305
  11. Chua LO, Desoer CA, Kuh ES. Linear and nonlinear circuits. New York: McGraw-Hill; 1987. 839 p.
  12. Chua LO, Lin СМ. Canonical realization of Chua’s circuit family. IEEE Trans. Circuits and Systems. 1990;37(7):885-902. DOI: 10.1109/31.55064
  13. Guckenheimer J, Holmes P. Nonlinear oscillations, dynamical systems, and bifurcations of vector fields. N.Y.: Springer; 1983. 462 p. DOI: 10.1007/978-1-4612-1140-2
  14. Kennedy P. Experimental chaos via Chua's circuit. In: Vohra S, Spano M, Shlesinger M, Pecora L, Ditto W, editors. Proc. of the 1st Experimental Chaos Conference. Singapore: World Scientific; 1992. P. 340. DOI: 10.1142/9789814537926
  15. Matsumoto T. A chaotic attractor from Chua’s circuit. IEEE Trans. Circuits and System. 1984;31(12):1055-1058. DOI: 10.1109/TCS.1984.1085459
  16. Wu S. Chua’s circuit family. Proc. IЕEЕ. 1987;75(8):1022-1032. DOI: 10.1109/PROC.1987.13847.
  17. Zhong GQ, Ayrom F. Experimental confirmation of chaos from Chua’s circuit. Int. J. Circuit Theory Appl. 1985;13(1):93-98. DOI: 10.1002/cta.4490130109
Received: 
05.04.1993
Accepted: 
09.07.1993
Published: 
12.01.1994
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