• DocumentCode
    1605769
  • Title

    Chaotic and bifurcation behaviour in an autonomous flip-flop circuit using piecewise linear tunnel diodes

  • Author

    Okazaki, Hiroshi ; Nakano, Hisamatsu ; Kawase, Toshihiro

  • Author_Institution
    Gifu Nat. Coll. of Technol.
  • Volume
    3
  • fYear
    1998
  • Firstpage
    291
  • Abstract
    A circuit realization of an autonomous flip-flop circuit using piecewise linear tunnel diodes, producing chaotic and bifurcation behaviour, is proposed. The proposed circuit is made of four linear passive element (2 capacitors, 1 inductor, 1 resistor), one active element (1 DC battery) and two piecewise linear characteristic nonlinear resistors realized by using an operational amplifier. Typical global behaviour in the circuit is illustrated. By using an analysis of the one-dimensional Poincare map constructed from experimental data, chaotic behaviour is examined, and the Liapunov exponents are estimated. The experimental observations are compared with the digital computer simulations
  • Keywords
    Lyapunov methods; Poincare mapping; bifurcation; chaos; flip-flops; nonlinear network analysis; piecewise-linear techniques; tunnel diodes; Liapunov exponents; active element; autonomous flip-flop circuit; bifurcation behaviour; chaotic behaviour; circuit realization; global behaviour; linear passive element; nonlinear resistors; one-dimensional Poincare map; operational amplifier; piecewise linear tunnel diodes; Active inductors; Batteries; Bifurcation; Capacitors; Chaos; Circuits; Diodes; Flip-flops; Piecewise linear techniques; Resistors;
  • fLanguage
    English
  • Publisher
    ieee
  • Conference_Titel
    Circuits and Systems, 1998. ISCAS '98. Proceedings of the 1998 IEEE International Symposium on
  • Conference_Location
    Monterey, CA
  • Print_ISBN
    0-7803-4455-3
  • Type

    conf

  • DOI
    10.1109/ISCAS.1998.704008
  • Filename
    704008