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Using wavelet analysis to investigate synchronization
Shraddha Gupta
Published in American Physical Society
2019
PMID: 31574617
Volume: 100
   
Issue: 2
Abstract
Wavelet analysis is shown to be a more robust technique than previously used methods in the investigation of synchronization. The highlight of the technique is that it encompasses most of the information obtained by conventional methods into a single picture, while giving a deeper insight into the dynamics of the system. Order parameters derived from continuous wavelet transform coefficients are proposed, which can be used in the quantification of measure synchronization in Hamiltonian systems and identical synchronization in dissipative systems, irrespective of the nature of coupling, the nature of synchronization (complete or partial, quasiperiodic or chaotic), and the number of coupled subsystems. © 2019 American Physical Society.
About the journal
JournalData powered by TypesetPhysical Review E
PublisherData powered by TypesetAmerican Physical Society
ISSN24700045
Open AccessNo
Concepts (13)
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    Hamiltonians
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    Wavelet analysis
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    Wavelet transforms
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    Continuous wavelet transform
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    Conventional methods
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    COUPLED SUBSYSTEMS
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    Dissipative systems
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    Hamiltonian systems
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    Order parameter
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    Quasi-periodic
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    ROBUST TECHNIQUE
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    Synchronization
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    Article