Phase reconstruction with iterated Hilbert transforms

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.

arXiv commentThe manuscript is based on findings presented in the poster presentation at the Dynamics days Europe in 2019