Title :
A universal circuit for studying chaos in Chua´s circuit family
Author_Institution :
Dept. of Electr. Eng. & Comput. Sci., California Univ., Berkeley, CA, USA
Abstract :
The author presents a canonical piecewise-linear circuit capable of realizing every member of Chua´s circuit family. It contains only six two-terminal elements; five of them are linear resistors, capacitors, and inductors, and only one element is a three-segment piecewise-linear resistor. It is canonical in the sense that: it can exhibit all possible phenomena associated with any three-region symmetric piecewise-linear continuous vector field, and it contains the minimum number of circuit elements needed for such a circuit. Using this circuit, many chaotic attractors which have not been observed before have been found. Among them, the author reports on a special example: a nonfractal chaotic attractor
Keywords :
chaos; nonlinear network analysis; piecewise-linear techniques; Chua´s circuit family; canonical piecewise-linear circuit; chaotic attractors; continuous vector field; nonfractal chaotic attractor; nonlinear resistor; three-segment piecewise-linear resistor; two-terminal elements; universal circuit; Capacitors; Chaos; Circuits; Eigenvalues and eigenfunctions; Frequency; Inductors; Piecewise linear techniques; Resistors; Strips; Vectors;
Conference_Titel :
Circuits and Systems, 1991., Proceedings of the 34th Midwest Symposium on
Conference_Location :
Monterey, CA
Print_ISBN :
0-7803-0620-1
DOI :
10.1109/MWSCAS.1991.251999