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.
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;
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
DOI :
10.1109/ISCAS.1998.704008