Phase reconstruction with iterated Hilbert transforms

Published 28 Apr 2020 in math.NA, astro-ph.IM, cs.NA, nlin.CD, and physics.data-an | (2004.13461v1)

Abstract: 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.

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