Abstract
In superconductors where the coherence length is comparable to the Fermi wavelength, the vortex viscosity depends on the velocity of the vortex, leading to nonlinear equations of motion. The trajectories of vortices driven by ac fields show a variety of behaviors as a function of frequency. Finite pertubations give rise to very long-lived transients. The relevance of these results to experiments in high-${\mathit{T}}_{\mathit{c}}$ superconductors is discussed. \textcopyright{} 1996 The American Physical Society.
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