  Recurrence analysis is a well settled method allowing to discern chaos from
order, and determinism from noise. We apply this tool to study time series
representing geodesic and inspiraling motion of a test particle in a deformed
Kerr spacetime, when deterministic chaos and different levels of stochastic
noise are present. In particular, we suggest a recurrence-based criterion to
reveal whether the time series comes from a deterministic source and find a
noise-level threshold of its applicability.
