In this paper, we provide a numerical approximation to the occurrence of the process of
nonlinear supratransmission in semiunbounded, discrete,(2+ 1)-dimensional systems of …

Designing superconducting electronic devices involves a careful study of all the elements in
the circuit, including the superconducting bias leads. In this work, we introduce a theoretical …

We discuss the twist map, with a special interest in its use for the finite Frenkel–Kontorova
model. We explain the meaning of the tensile force in some proposed models. We …

When a soliton propagates in a discrete lattice it excites small-amplitude linear waves in its
wake. In a dc current-biased Josephson-junction (JJ) array these manifest as …

We explain Shapiro steps in a Frenkel–Kontorova (FK) model for a 1D chain of particles with
free boundaries. The action of an external alternating force for the oscillating structure of the …

We observe parametric amplification of electromagnetic (EM) waves produced by a flux-flow
oscillator made of YBa 2 Cu 3 O 7− δ Josephson junctions arrays coupled to the resonant …

Superconducting flux-flow-oscillators (FFOs) based on unidirectional flow of magnetic
vortices in a single-long Josephson junction (JJ) and operating at 4.2 K are key elements of …

We study the dynamics of one-dimensional arrays of Josephson junctions connected in
parallel by superconducting wires. These arrays are model systems for the discrete, damped …

We study the existence and uniqueness of single-wave-form solutions for series arrays of N
Josephson junctions coupled through general RLC loads. Our method recasts the …

We report on the influence a preferential magnetic vortices motion has on the magnitude of
the inverse ac Josephson effect (the appearance of dc current Shapiro steps) and the …