Enhancing spectral analysis in nonlinear dynamics with pseudoeigenfunctions from continuous spectra

Abstract The analysis of complex behavior in empirical data poses significant challenges in various scientific and engineering disciplines. Dynamic Mode Decomposition (DMD) is a widely used method to reveal the spectral features of nonlinear dynamical systems without prior knowledge. However, becaus...

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Bibliographic Details
Main Authors: Itsushi Sakata, Yoshinobu Kawahara
Format: Article
Language:English
Published: Nature Portfolio 2024-08-01
Series:Scientific Reports
Online Access:https://doi.org/10.1038/s41598-024-69837-y