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Phase Synchronization Is the Amplified Result by the Hilbert Transform
Joint Authors
Lih, Jiann-Shing
Lu, Ming-Chi
Liu, Chia-Ju
Chan, Chen-An
Ho, Ming-Chung
Ho, Hsing-Chung
Source
Mathematical Problems in Engineering
Issue
Vol. 2015, Issue 2015 (31 Dec. 2015), pp.1-3, 3 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2015-10-12
Country of Publication
Egypt
No. of Pages
3
Main Subjects
Abstract EN
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.
American Psychological Association (APA)
Lu, Ming-Chi& Ho, Hsing-Chung& Chan, Chen-An& Liu, Chia-Ju& Lih, Jiann-Shing& Ho, Ming-Chung. 2015. Phase Synchronization Is the Amplified Result by the Hilbert Transform. Mathematical Problems in Engineering،Vol. 2015, no. 2015, pp.1-3.
https://search.emarefa.net/detail/BIM-1074361
Modern Language Association (MLA)
Lu, Ming-Chi…[et al.]. Phase Synchronization Is the Amplified Result by the Hilbert Transform. Mathematical Problems in Engineering No. 2015 (2015), pp.1-3.
https://search.emarefa.net/detail/BIM-1074361
American Medical Association (AMA)
Lu, Ming-Chi& Ho, Hsing-Chung& Chan, Chen-An& Liu, Chia-Ju& Lih, Jiann-Shing& Ho, Ming-Chung. Phase Synchronization Is the Amplified Result by the Hilbert Transform. Mathematical Problems in Engineering. 2015. Vol. 2015, no. 2015, pp.1-3.
https://search.emarefa.net/detail/BIM-1074361
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1074361