  We address topological currents in polariton condensates excited by uniform
resonant pumps in finite honeycomb arrays of microcavity pillars with a hole in
the center. Such currents arise under combined action of the spin-orbit
coupling and the Zeeman splitting that break the time-reversal symmetry and
open a topological gap in the spectrum of the structure. The most
representative feature of this structure is the presence of two interfaces,
inner and outer ones, where the directions of topological currents are
opposite. Due to the finite size of the structure polariton-polariton
interactions lead to the coupling of the edge states at the inner and outer
interfaces, which depends on the size of the hollow region. Moreover, switching
between currents can be realized by tuning the pump frequency. We illustrate
that currents in this finite structure can be stable and study bistability
effects arising due to the resonant character of the pump.
