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

Recurrence Analysis as a tool to study chaotic dynamics of extreme mass ratio inspiral in signal with noise