Current-driven effects in disordered arrays of Josephson junctions

Leath, P. L.

doi:10.1016/0921-4526(96)00200-1

Physica B: Condensed Matter

1996

DOI: 10.1016/0921-4526(96)00200-1

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Current-driven effects in disordered arrays of Josephson junctions

P. L. Leath

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Cited by 3 publications

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“…But little attention has been paid to systems of 2D arrays. In fact, 2D arrays are nearer to practical problems for example, 2D Josephson junction array known as a realization of a 2D superconductor [Leath et al, 1996] and 2D Frenkel-Kontorova models [Granato et al, 1999;Braun et al, 1997] describing 2D atomic substrate. Therefore, this paper is devoted to the case of 2D arrays.…”

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Phase Clusters in 2d Arrays of Nonidentical Oscillators

Liu

2001

Int. J. Bifurcation Chaos

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We study the collective behavior of a 2D network of nonidentical oscillators in the chaotic regime and find that ordered phase can emerge in the collective behavior, due to mutual coupling. The resulting phase cluster is a frequency-locking. The configuration of pattern depends on time and can be divided into several phase clusters when coupling is over some threshold. The frequencylocked spatiotemporal patterns are determined by the mismatched parameter and the coupling strength, and its regularity can be measured by an average nearest-neighbor distance.

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Phase Clusters in 2d Arrays of Nonidentical Oscillators

Liu

2001

Int. J. Bifurcation Chaos

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Electrical transport in a superconducting niobium nitride ultrathin granular film: A disordered two-dimensional Josephson-junction array

Johnson

Kadin

1998

Phys. Rev. B

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Chaotic Oscillations in Josephson Tetrode

Uchida

Iida

Maki

et al. 2004

IEEE Trans. Appl. Supercond.

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We numerically demonstrate the generation of chaos in a four-terminal superconductive device made of five Josephson weak-link junctions, which is referred to as "Josephson tetrode," for the applications of ultrafast random signal generations at frequencies of hundreds of gigahertz. In the Josephson tetrode, two junctions are series-connected and three junctions are parallel-connected. We calculate the dynamics of electrical voltages across the junctions when one of the normal resistances is varied. We confirm the generation of chaos by using a bifurcation diagram, three-dimensional attractors, and the Poincare sections. The bifurcation diagram can be interpreted as the quasi-periodicity-breakdown scenario to chaos. We clarify that the mechanism of the generation of chaos is a nonlinear frequency mixing among three independent voltages across the junctions. The condition of the generation of chaos can be predicted from the values of the coefficients in the equations of our model.

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Current-driven effects in disordered arrays of Josephson junctions

Cited by 3 publications

References 12 publications

Phase Clusters in 2d Arrays of Nonidentical Oscillators

Phase Clusters in 2d Arrays of Nonidentical Oscillators

Electrical transport in a superconducting niobium nitride ultrathin granular film: A disordered two-dimensional Josephson-junction array

Chaotic Oscillations in Josephson Tetrode

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