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The effect of external radiation on the phase dynamics of Josephson junctionsshunted by an LC circuit is examined. It is shown that additional resonantcircuit (rc) branches appear in the current voltage characteristics of thejunctions when the Josephson frequency is equal to the frequency of the formedresonance circuit. We show that the amplitude dependence of the Shapiro stepwidth crucially changes when the Shapiro step is on the rc-branch in comparisonto the case of Josephson junction without shunt. The experimentalimplementation of these effects might give very important advantages forexisting methods and technologies.

Shapiro Step on the rc-Branch in the IV-characteristic of a Josephson Junction with an LC-shunting