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 …
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 …
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 …
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 …
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 …
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 …
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 …
We present analytical and numerical studies of pinned superconducting states of open- ended Josephson ladder arrays, neglecting inductances but taking edge effects into …
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 …