Superconducting persistent-current qubit

TP Orlando, JE Mooij, L Tian, CH Van Der Wal… - Physical Review B, 1999 - APS
We present the design of a superconducting qubit that has circulating currents of opposite
sign as its two states. The circuit consists of three nanoscale aluminum Josephson junctions …

[HTML][HTML] Graph partitions and cluster synchronization in networks of oscillators

MT Schaub, N O'Clery, YN Billeh… - … Journal of Nonlinear …, 2016 - pubs.aip.org
Synchronization over networks depends strongly on the structure of the coupling between
the oscillators. When the coupling presents certain regularities, the dynamics can be coarse …

Structure of complex networks: Quantifying edge-to-edge relations by failure-induced flow redistribution

MT Schaub, J Lehmann, SN Yaliraki, M Barahona - Network Science, 2014 - cambridge.org
The analysis of complex networks has so far revolved mainly around the role of nodes and
communities of nodes. However, the dynamics of interconnected systems is often focalized …

[HTML][HTML] Transient dynamics around unstable periodic orbits in the generalized repressilator model

N Strelkowa, M Barahona - Chaos: An Interdisciplinary Journal of …, 2011 - pubs.aip.org
We study the temporal dynamics of the generalized repressilator, a network of coupled
repressing genes arranged in a directed ring topology, and give analytical conditions for the …

Intrinsically localized chaos in discrete nonlinear extended systems

PJ Martinez, LM Floria, F Falo, JJ Mazo - Europhysics Letters, 1999 - iopscience.iop.org
The phenomenon of intrinsic localization in discrete nonlinear extended systems, ie the
(generic) existence of discrete breathers, is shown to be not restricted to periodic solutions …

Dynamics of one-dimensional Josephson-junction arrays

HSJ Van der Zant, M Barahona, AE Duwel… - Physica D: Nonlinear …, 1998 - Elsevier
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 …

Existence, uniqueness, and nonuniqueness of single-wave-form solutions to Josephson junction systems

N Rosen, R Mirollo - SIAM Journal on Applied Mathematics, 2000 - SIAM
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 …

Spontaneous creation of discrete breathers in Josephson arrays

M Schuster, F Pignatelli, AV Ustinov - Physical Review B, 2004 - APS
We report on the experimental generation of discrete breather states (intrinsic localized
modes) in frustrated Josephson arrays. Our experiments indicate the formation of discrete …

Superconducting states and depinning transitions of Josephson ladders

M Barahona, SH Strogatz, TP Orlando - Physical Review B, 1998 - APS
We present analytical and numerical studies of pinned superconducting states of open-
ended Josephson ladder arrays, neglecting inductances but taking edge effects into …

Cavity resonances in Josephson ladders

P Caputo, MV Fistul, AV Ustinov, BA Malomed, S Flach - Physical Review B, 1999 - APS
Electromagnetic waves which propagate along a Josephson junction ladder are shown to
manifest themselves by resonant steps in the current-voltage characteristics. We report on …