Phase reconstruction with iterated Hilbert transforms. (arXiv:2004.13461v1 [math.NA])
<a href="http://arxiv.org/find/math/1/au:+Gengel_E/0/1/0/all/0/1">Erik Gengel</a>, <a href="http://arxiv.org/find/math/1/au:+Pikovsky_A/0/1/0/all/0/1">Arkady Pikovsky</a>
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.
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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