  We address the inhibition of tunnelling in polariton condensates confined in
a potential landscape created by a honeycomb array of microcavity pillars in
the presence of spin-orbit coupling and Zeeman splitting in the external
magnetic field. The coupling rate between the microcavity pillars can be
strongly impacted even by weak out-of-phase temporal modulations of the depths
of the corresponding potential wells. When such a modulation is implemented in
truncated honeycomb arrays that realize a polariton topological insulator,
which supports unidirectional edge states in the presence of spin-orbit
coupling and Zeeman splitting, it allows controlling the velocity of the
states. The origin of the phenomenon is the dynamical modulation with a proper
frequency, which notably changes the dispersion of the system and the group
velocity of edge states. We show that such a control is possible for modulation
frequencies close to resonances for inhibition of tunnelling in a two-well
configuration. Edge states considerably slow down, and even stop completely,
when the modulation frequency approaches a resonant value, while above such
frequency splitting of the edge states into wavepackets moving with different
velocities occurs.
