TY - JOUR

T1 - Perturbed period-doubling bifurcation. II. Experiments on Josephson junctions

AU - Eriksen, Gert Friis

AU - Hansen, Jørn Bindslev

N1 - Copyright (1990) by the American Physical Society.

PY - 1990

Y1 - 1990

N2 - We present experimental results on the effect of periodic perturbations on a driven, dynamic system that is close to a period-doubling bifurcation. In the preceding article a scaling law for the change of stability of such a system was derived for the case where the perturbation frequency ωS is close to the resonances given by ωS/ωD=(1/2, 3) / 2 ,(5/2,..., where ωD is the driving frequency. The theoretical prediction for the shift of the bifurcation point, ΔμB, which we use as a measure of the stabilization, is ΔμB∼AS2, where AS is the perturbation amplitude. We have investigated ΔμB as a function of the frequency and the amplitude of the perturbation signal ΔμB(ωS,AS) for a model system, the microwave-driven Josephson tunnel junction, and find reasonable agreement between the experimental results and the theory.

AB - We present experimental results on the effect of periodic perturbations on a driven, dynamic system that is close to a period-doubling bifurcation. In the preceding article a scaling law for the change of stability of such a system was derived for the case where the perturbation frequency ωS is close to the resonances given by ωS/ωD=(1/2, 3) / 2 ,(5/2,..., where ωD is the driving frequency. The theoretical prediction for the shift of the bifurcation point, ΔμB, which we use as a measure of the stabilization, is ΔμB∼AS2, where AS is the perturbation amplitude. We have investigated ΔμB as a function of the frequency and the amplitude of the perturbation signal ΔμB(ωS,AS) for a model system, the microwave-driven Josephson tunnel junction, and find reasonable agreement between the experimental results and the theory.

U2 - 10.1103/PhysRevB.41.4189

DO - 10.1103/PhysRevB.41.4189

M3 - Journal article

SN - 2469-9950

VL - 41

SP - 4189

EP - 4194

JO - Physical Review B

JF - Physical Review B

IS - 7

ER -