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Periodic solutions of a resistive model for nonlocal Josephson dynamics

A novel method is developed for constructing periodic solutions of a model equation describing nonlocal Josephson electrodynamics. This method consists of reducing the equation to a system of linear ordinary differential equations through a sequence of nonlinear transformations. The periodic solutions are then obtained by a standard procedure which is represented in terms of trigonometric functions. It is found that the large time asymptotic of the solution exhibits a steady profile which does not depend on initial conditions.