  Non-linear electrodynamics of a ring-shaped Andreev interferometer
(superconductor-normal conductor-superconductor hybrid structure) inductively
coupled to a circuit of the dissipative current is investigated. The
current-voltage characteristics (CVC) is demonstrated to be a series of loops
with several branches intersecting in the CVC origin. The sensitivity of the
transport current to a change of the applied external magnetic flux can be
comparable to the one of the conventional SQUID's. Spontaneous arising of
coupled non-linear oscillations of the transport current, the Josephson current
and the magnetic flux in Andreev interferometers are also predicted and
investigated. The frequency of these oscillations can be varied in a wide
range, while the maximal frequency can reach $\omega_{max} \sim 10^{12}$
$sec^{-1}$.
