Numerical Study of Vortex Motion in the Two Dimensional Ginzburg-Landau Equation

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Abstract
The spiral pattern can emerge in the two dimensional generalized Ginzburg-Landau equation. There exists a vortex as a topological defect in the center of the spiral. We carried out some numerical simulations to study the motion of an interacting pair of vortices and a vortex driven by the faster pacemaker.