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We have analysed the circularly symmetric sine-Gordon equation with bias and dissipation by means of a simplified perturbation theory. Analytic solutions that describe the dynamical behaviour of a quasisoliton trapped within the annular junction have been obtained. Between the results of our theory and numerical simulation, there exists a good agreement for the first zero field step (ZFS) in the l-V characteristic. A brief discussion of our results is also presented.
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