Phase reconstruction with iterated Hilbert transforms

04/28/2020

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by   Erik Gengel, et al.

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We present a study dealing with a novel phase reconstruction method based on iterated Hilbert transform embeddings. We show results for the Stuart-Landau oscillator observed by generic observables. The benefits for reconstruction of the phase response curve a presented and the method is applied in a setting where the observed system is pertubred by noise.