We consider a Josephson junction system installed with a finite length inhomogeneity, either
of micro-resistor or micro-resonator type. The system can be modelled by a sine-Gordon …

The second harmonic contribution to the current-phase relation changes the properties of
the static magnetic flux distributions in the long Josephson junction (LJJ) and inspires new …

Critical regimes in the long Josephson junction (LJJ) are studied within the frame of a model
accounting for the second harmonic in the current-phase relation (CPR). Numerical …

Flux dynamics in an annular long Josephson junction is studied. Three main topics are
covered. The first is chaotic flux dynamics and its prediction via Melnikov integrals. It turns …

Numerical experiment results on long Josephson junction with one and two rectangular
inhomogeneities in the barrier layer are presented. We demonstrate the efiect of the shifting …

Nonlinear eigenvalue problems for fluxons in long Josephson junctions with exponentially
varying width are treated. Appropriate algorithms are created and realized numerically. The …

We consider in-line and overlap geometry models of Josephson junctions with point or
rectangular inhomogeneity and investigate the effect of their location on the Josephson …