Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
1895664 | Physica D: Nonlinear Phenomena | 2013 | 11 Pages |
•Center manifold reduction yields periodic solutions.•We obtain a motion law for kinematic vortices.•Computational analysis yields anomalous vortex behavior.
Using a Ginzburg–Landau model, we study the vortex behavior of a rectangular thin film superconductor subjected to an applied current fed into a portion of the sides and an applied magnetic field directed orthogonal to the film. Through a center manifold reduction we develop a rigorous bifurcation theory for the appearance of periodic solutions in certain parameter regimes near the normal state. The leading order dynamics yield in particular a motion law for kinematic vortices moving up and down the center line of the sample. We also present computations that reveal the co-existence and periodic evolution of kinematic and magnetic vortices.