We have carried out non-linear microwave (8 GHz) surface impedance measurements of three YBaCuO thin films in dc magnetic fields (parallel to c axis) up to 12 mT using a coplanar resonator technique. In zero dc field the three films, deposited by the same method, show a spread of low-power residual surface resistance, and penetration depth, (T=15 K) within a factor of 1.9. However, they exhibit dramatically different microwave field, dependences of the surface resistance, , but universal dependence. Application of a dc field was found to affect not only absolute values of and , but the functional dependences and as well. For some of the samples the dc field was found to decrease below its zero-field low-power value.

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