We have carried out non-linear microwave (8 GHz) surface impedancemeasurements of three YBaCuO thin films in dc magnetic fields $H_{dc}$(parallel to c axis) up to 12 mT using a coplanar resonator technique. In zerodc field the three films, deposited by the same method, show a spread oflow-power residual surface resistance, $R_{res}$ and penetration depth,$\lambda$ (T=15 K) within a factor of 1.9. However, they exhibit dramaticallydifferent microwave field, $H_{rf}$ dependences of the surface resistance,$R_s$, but universal $X_s(H_{rf})$ dependence. Application of a dc field wasfound to affect not only absolute values of $R_s$ and $X_s$, but the functionaldependences $R_s(H_{rf})$ and $X_s(H_{rf})$ as well. For some of the samplesthe dc field was found to decrease $R_s$ below its zero-field low-power value.
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