Phase reconstruction with iterated Hilbert transforms
Numerical Analysis
2020-04-29 v1 Instrumentation and Methods for Astrophysics
Numerical Analysis
Chaotic Dynamics
Data Analysis, Statistics and Probability
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.
Cite
@article{arxiv.2004.13461,
title = {Phase reconstruction with iterated Hilbert transforms},
author = {Erik Gengel and Arkady Pikovsky},
journal= {arXiv preprint arXiv:2004.13461},
year = {2020}
}
Comments
The manuscript is based on findings presented in the poster presentation at the Dynamics days Europe in 2019