Phase synchronization Is the amplified result by the Hilbert transform
type: Item
instance of: scholarly article
title: Phase synchronization Is the amplified result by the Hilbert transform
zbMATH Open document ID: 1394.34072
DOI: 10.1155/2015/640107
author: Ming-Chi Lu
author: Hsing-Chung Ho
author: Chen-An Chan
author: Chia-Ju Liu
author: Jiann-Shing Lih
author: Ming-Chung Ho
published in: Mathematical Problems in Engineering
publication date: 2018-08-27T00:00:00Z
review text: Summary: We investigate the interplay between phase synchronization and amplitude synchronization in nonlinear dynamical systems. It is numerically found that phase synchronization intends to be established earlier than amplitude synchronization. Nevertheless, amplitude synchronization (or the state with large correlation between the amplitudes) is crucial for the maintenance of a high correlation between two time series. A breakdown of high correlation in amplitudes will lead to a desynchronization of two time series. It is shown that these unique features are caused essentially by the Hilbert transform. This leads to a deep concern and criticism on the current usage of phase synchronization.
Mathematics Subject Classification ID: 34C15
zbMATH DE Number: 6926878
Wikidata QID: Q59119207
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2015/640107
OpenAlex ID: W1905942390
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description: scientific article; zbMATH DE number 6926878