  The dynamical properties of multi-terminal Josephson junctions have recently
attracted interest, driven by the promise of new insights into synthetic
topological phases of matter and Floquet states. This effort has culminated in
the discovery of Cooper multiplets, in which the splitting of a Cooper pair is
enabled via a series of Andreev reflections that entangle four (or more)
electrons. In this text, we show conclusively that multiplet resonances can
also emerge as a consequence of the three terminal circuit model. The
supercurrent appears due to the correlated phase dynamics at values that
correspond to the multiplet condition $nV_1 = -mV_2$ of applied bias. The
emergence of multiplet resonances is seen in i) a nanofabricated three-terminal
graphene Josephson junction, ii) an analog three terminal Josephson junction
circuit, and iii) a circuit simulation. The mechanism which stabilizes the
state of the system under those conditions is purely dynamical, and a close
analog to Kapitza's inverted pendulum problem. We describe parameter
considerations that best optimize the detection of the multiplet lines both for
design of future devices. Further, these supercurrents have a classically
robust $\cos2\phi$ energy contribution, which can be used to engineer qubits
based on higher harmonics.
