Abstract
We show that the equation which describes two- and three-dimensional arrays of small-area Josephson junctions is reduced to the following form, −∇×(∇×φ)−∂2φ/∂t2−Γ∂φ/∂t = sin φ, where φ is the two- or three-dimensional phase-difference vector, and sin φ is the vector whose components are sine functions of the components of φ, respectively. Based on the above equation we analyze numerically a two-dimensional square network of Josephson junctions, and discuss the vortex motion on the network.

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