CAPACITANCE-INDUCED IN-PHASE SWITCHING IN A BASIC 2-DIMENSIONAL JOSEPHSON-JUNCTION ARRAY

Phase locking in a basic two-dimensional Josephson junction array cons isting of two coupled SQUIDs is studied exploiting a new method combin ing the ideas of harmonic balance with the phase-slip procedure. This permits not only including the effect of non-vanishing junction capaci tance, but extending our earlier investigations of the same circuit to arbitrary ring inductances, including inductances l approximate to 1 as well. As a result, our earlier finding that only antiphase oscillat ions can be stable in such a circuit are modified by observing a trans ition to the in-phase regime for larger values of the junction capacit ance. The transition between both regimes is found to be determined by the resonance condition between ring inductance and junction capacita nce.