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arXiv · 1709.08446

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

Georgios Lukes-Gerakopoulos·Ondřej Kopáček
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Abstract

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.

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Georgios Lukes-Gerakopoulos, Ondřej Kopáček. 2017-09-25. Recurrence Analysis as a tool to study chaotic dynamics of extreme mass ratio inspiral in signal with noise. https://doi.org/10.1142/s0218271818500104

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