Abstract
A model of a damped dc-driven long Josephson junction (LJJ) with periodically installed microresistors or microshorts (microshunts), or crossed by a periodic chain of Abrikosov vortices, is considered. A maximum value of the bias current density admitting pinned states of a fluxon and a minimum value admitting free motion of fluxon are found, the latter being an important generalization of the well-known result of McLaughlin and Scott. For LJJ's with a sinusoidal profile of the inhomogeneity, a current-voltage characteristic is obtained in an explicit form.
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