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We present all the possible solutions of a Josephson junction with bias current and magnetic field with both inline and overlap geometry, and examine their stability. We follow the bifurcation of new solutions as we increase the junction length. The analytical results in terms of elliptic functions in the case of inline geometry, are in agreement with the… (More)

- Jean-Guy Caputo, Yuri Gaididei, Franz G Mertens, Denis D Sheka
- Physical review letters
- 2007

The spin-transfer effect is investigated for the vortex state of a magnetic nanodot. A spin current is shown to act similarly to an effective magnetic field perpendicular to the nanodot. Then a vortex with magnetization (polarity) parallel to the current polarization is energetically favorable. Following a simple energy analysis and using direct… (More)

- Jean-Guy Caputo, Benoit Sarels
- Physical review. E, Statistical, nonlinear, and…
- 2011

The interaction of a Zeldovich-Frank-Kamenetsky reaction-diffusion front with a localized defect is studied numerically and analytically. For the analysis, we start from conservation laws and develop simple, collective variable, ordinary differential equations for the front position and width. Their solutions are in good agreement with the solutions of the… (More)

We consider in the unidirectional approximation the propagation of an ul-tra short electromagnetic pulse in a resonant medium consisting of molecules characterized by a transition operator with both diagonal and non-diagonal matrix elements. We find the zero-curvature representation of the reduced Maxwell-Bloch equations in the sharp line limit. This can be… (More)

- JOSEPHSON JUNCTION, JEAN-GUY CAPUTO
- 2000

We developed an efficient hybrid mode expansion method to study the maximum tunneling current as a function of the external magnetic field for a 2D large area lateral window junction. We consider the inhomogeneity in the critical current density, which is taken a piecewise constant. The natural modes of the expansion in y, are the linearized eigen-modes… (More)

- Elena V Kazantseva, Andrei I Maimistov, Jean-Guy Caputo
- Physical review. E, Statistical, nonlinear, and…
- 2005

The propagation of extremely short pulses of an electromagnetic field (electromagnetic spikes) is considered in the framework of a model wherein the material medium is represented by anharmonic oscillators with cubic nonlinearities (Duffing model) and waves can propagate only in the right direction. The system of reduced Maxwell-Duffing equations admits two… (More)

- JEAN-GUY CAPUTO
- 1998

We introduce a new type of splitting method for semilinear partial differential equations. The method is analyzed in detail for the case of the two-dimensional static sine-Gordon equation describing a large area Josephson junction with overlap current feed and external magnetic field. The solution is separated into an explicit term that satisfies the… (More)

- Jean-Guy Caputo, Arnaud Knippel, Elie Simo
- ArXiv
- 2011

To describe the flow of a miscible quantity on a network, we introduce the graph wave equation where the standard continuous Laplacian is replaced by the graph Laplacian. This is a natural description of an array of inductances and capacities, of fluid flow in a network of ducts and of a system of masses and springs. The structure of the graph influences… (More)

A three-terminal Josephson junction consists of three superconductors coupled coherently to a small nonsuperconducting island, such as a diffusive metal, a single or double quantum dot. A specific resonant single quantum dot three-terminal Josephson junction (Sa, S b , Sc) biased with voltages (V, −V, 0) is considered, but the conclusions hold more… (More)

- Jean-Guy Caputo, Denys Dutykh
- Physical review. E, Statistical, nonlinear, and…
- 2014

To study how nonlinear waves propagate across Y- and T-type junctions, we consider the two-dimensional (2D) sine-Gordon equation as a model and examine the crossing of kinks and breathers. Comparing energies for different geometries reveals that, for small widths, the angle of the fork plays no role. Motivated by this, we introduce a one-dimensional… (More)