• DocumentCode
    3398326
  • Title

    A universal circuit for studying chaos in Chua´s circuit family

  • Author

    Lin, Gui-Nian

  • Author_Institution
    Dept. of Electr. Eng. & Comput. Sci., California Univ., Berkeley, CA, USA
  • fYear
    1991
  • fDate
    14-17 May 1991
  • Firstpage
    772
  • 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;
  • fLanguage
    English
  • Publisher
    ieee
  • Conference_Titel
    Circuits and Systems, 1991., Proceedings of the 34th Midwest Symposium on
  • Conference_Location
    Monterey, CA
  • Print_ISBN
    0-7803-0620-1
  • Type

    conf

  • DOI
    10.1109/MWSCAS.1991.251999
  • Filename
    251999