Chua's circuit
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Chua's circuit is a simple electronic circuit that exhibits classic chaos theory behavior. First introduced in 1983 by Leon O. Chua, its ease of construction has made it an ubiquitous real-world example of a chaotic system, leading some to declare it 'a paradigm for chaos'.
An autonomous circuit made from standard components (resistors, capacitors, inductors) must satisfy three criteria before it can display chaotic behaviour. It must contain:
- one or more nonlinear elements
- one or more locally active resistors
- three or more energy-storage elements.
A chaotic attractor was first observed in a third order, reciprocal autonomous circuit containing a single nonlinear element (a 3-segment piecewise-linear resistor).
It has been the subject of much study; hundreds of papers have been published on this topic.
Articles
- Simplest chaotic nonautonomous circuit, Matsumoto, T., Chua, L.O., Tanaka, S., Physical Review A (General Physics), Aug. 1984, vol. 30, (no. 2): 1155-1157.
- Experimental confirmation of chaos from Chua's circuit, GQ ZHONG, F AYROM, International journal of circuit theory and applications 13:11, 93-98, Wiley, 1985.
- The Genesis of Chua's circuit, CHUA L. O.(Dep. electrical eng., Berkeley CA), AEU. Archiv für Elektronik und Übertragungstechnik (AEU. Arch. Elektron. Übertragungstech.), Hirzel, Stuttgart, 1992, vol. 46, no 4, pp. 250-257, ISSN 0001-1096
Books
- Chaos synchronization in Chua's circuit, Leon O Chua, Berkeley : Electronics Research Laboratory, College of Engineering, University of California, [1992], OCLC: 44107698
- Chua's circuit: a paradigm for chaos, R N Madan, River Edge, N.J., World Scientific, 1993
External links
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