Resonance phenomena in asymmetric superconducting quantum interference devices

Theory of self induced resonances in asymmetric two-junction interferometer device is presented. In real devices it is impossible to have an ideal interferometer free of imperfections. Thus, we extended previous theoretical approaches introducing a model which contains several asymmetries: Josephson current $\epsilon$, capacitances $\chi$ and dissipation $\rho$ presented in an equivalent circuit. Moreover, non conventional symmetry of the order parameter in high temperature superconducting quantum interference devices forced us to include phase asymmetries. Therefore, the model has been extended to the case of $\pi$-shift interferometers, where a phase shift is present in one of the junctions.