Phase reconstruction with iterated Hilbert transforms

Autor:	Gengel, Erik, Pikovsky, Arkady
Rok vydání:	2020
Předmět:	Mathematics - Numerical Analysis Astrophysics - Instrumentation and Methods for Astrophysics Nonlinear Sciences - Chaotic Dynamics Physics - Data Analysis Statistics and Probability
Druh dokumentu:	Working Paper
Popis:	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. Comment: The manuscript is based on findings presented in the poster presentation at the Dynamics days Europe in 2019
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/2004.13461 Zobrazit plný text záznamu View this record from Arxiv