Il. Atkin et E. Abraham, CONTROL OF CHAOS IN DISCRETE JOSEPHSON TRANSMISSION-LINES, IEEE transactions on applied superconductivity, 7(2), 1997, pp. 2894-2896
We have simulated the control of chaos by chaos in discrete Josephson
transmission lines to obtain periodic outputs of selected frequency. O
ur system consists of an underdamped 1-D parallel array of 11 small Jo
sephson junctions in the presence of an externally applied magnetic fi
eld, Control of chaos is achieved by a delayed feedback mechanism whic
h selects one of the unstable periodic orbits embedded within the asso
ciated strange attractor. Although the dimensionality of our system is
relatively large (22), control was achieved by applying the delayed f
eedback to a single boundary junction resulting in the above stable os
cillatory output. The essence of our work shows that unwanted chaotic
signals could be turned into useful applications such as microwave osc
illators of variable frequency, without modifying the original system.