In this paper we show that the radio frequency (rf) dynamical characteristicsof a very strongly hysteretic SQUID ring, coupled to an rf tank circuitresonator, display relaxation oscillations. We demonstrate that the the overallform of these characteristics, together with the relaxation oscillations, canbe modelled accurately by solving the quasi-classical non-linear equations ofmotion for the system. We suggest that in these very strongly hystereticregimes SQUID ring-resonator systems may find application in novel logic andmemory devices.
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