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Phase reconstruction from oscillatory data with iterated Hilbert transform embeddings -- benefits and limitations

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Publication:2077830
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DOI10.1016/j.physd.2021.133070zbMath1492.37072arXiv2111.10300OpenAlexW3209460477MaRDI QIDQ2077830

Erik Gengel, Arkadij S. Pikovskij

Publication date: 22 February 2022

Published in: Physica D (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2111.10300

zbMATH Keywords

Hilbert transformdata analysisphase reconstruction


Mathematics Subject Classification ID

Special integral transforms (Legendre, Hilbert, etc.) (44A15) Nonlinear oscillations and coupled oscillators for ordinary differential equations (34C15) Time series analysis of dynamical systems (37M10)




Cites Work

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  • From synchronisation to persistent optical turbulence in laser arrays
  • Synchrosqueezed wavelet transforms: an empirical mode decomposition-like tool
  • Chemical oscillations, waves, and turbulence
  • Embedology
  • Nonlinear Time Series Analysis
  • Hilbert–Huang Transform and Its Applications
  • Mathematical Analysis of Random Noise
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