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The obtained periodic magnetic-field dependencies of the critical current,measured in opposite directions on asymmetric superconducting aluminum rings,allow to explain observed earlier quantum oscillations of a dc voltage as aresult of alternating current rectification. It is found, that the highefficiency of the rectification of both individual rings and ring systems isconnected to a hysteresis of the current-voltage characteristics. The asymmetryof the current-voltage characteristics providing the rectification effect isdue to the relative shifts of the magnetic dependencies of the critical currentmeasured in opposite directions. This shift means that position of the criticalcurrent minimums does not correspond to n + 0.5 magnetic flux quantum which isin the direct contradiction with measurement results of the Little-Parksresistance oscillations. Despite of this contradiction the amplitude of thecritical current anisotropy oscillations and its variations with temperaturecorrespond to expected amplitude of the persistent current oscillations and toits variations with temperature.

Magnetic dependence of the critical and persistent current of asymmetric superconducting rings