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Space-time POD and the Hankel matrix

https://doi.org/10.1371/journal.pone.0289637
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What this work says

Outgoing claims: the papers this work cites, builds on, or argues with.

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Whither Turbulence and Big Data in the 21st Century?
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On the hidden beauty of the proper orthogonal decomposition
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Dynamical Systems and Turbulence, Warwick 1980
inferredcites →https://doi.org/10.1007/s00348-013-1477-7openalex-snapshot
A temporal proper decomposition (TPOD) for closed-loop flow control
inferredcites →https://doi.org/10.1016/0167-2789(86)90031-xopenalex-snapshot
Extracting qualitative dynamics from experimental data
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Singular spectrum analysis in nonlinear dynamics, with applications to paleoclimatic time series
inferredcites →https://doi.org/10.1016/0167-2789(92)90085-2openalex-snapshot
An analytic approach to practical state space reconstruction
inferredcites →https://doi.org/10.1016/j.camwa.2010.05.028openalex-snapshot
Relationship between Singular Spectrum Analysis and Fourier analysis: Theory and application to the monitoring of volcanic activity
inferredcites →https://doi.org/10.1016/j.physd.2003.03.001openalex-snapshot
Model reduction for compressible flows using POD and Galerkin projection
inferredcites →https://doi.org/10.1017/jfm.2018.283openalex-snapshot
Spectral proper orthogonal decomposition and its relationship to dynamic mode decomposition and resolvent analysis
inferredcites →https://doi.org/10.1017/jfm.2018.675openalex-snapshot
Spectral analysis of jet turbulence
inferredcites →https://doi.org/10.1017/jfm.2019.200openalex-snapshot
A conditional space–time POD formalism for intermittent and rare events: example of acoustic bursts in turbulent jets
inferredcites →https://doi.org/10.1017/jfm.2020.929openalex-snapshot
Energy transfer in turbulent channel flows and implications for resolvent modelling
inferredcites →https://doi.org/10.1017/s0022112010001217openalex-snapshot
Dynamic mode decomposition of numerical and experimental data
inferredcites →https://doi.org/10.1017/s002211201000176xopenalex-snapshot
A critical-layer framework for turbulent pipe flow
inferredcites →https://doi.org/10.1017/s0022112088001818openalex-snapshot
The dynamics of coherent structures in the wall region of a turbulent boundary layer
inferredcites →https://doi.org/10.1017/s0022112089000741openalex-snapshot
Characteristic-eddy decomposition of turbulence in a channel
inferredcites →https://doi.org/10.1038/s41467-017-00030-8openalex-snapshot
Chaos as an intermittently forced linear system
inferredcites →https://doi.org/10.1063/1.869686openalex-snapshot
Proper orthogonal decomposition and low-dimensional models for driven cavity flows
inferredcites →https://doi.org/10.1088/0031-9112/22/3/029openalex-snapshot
Stochastic Tools in Turbulence
inferredcites →https://doi.org/10.1103/physreve.105.015312openalex-snapshot
Principal component trajectories for modeling spectrally continuous dynamics as forced linear systems
inferredcites →https://doi.org/10.1103/physrevlett.45.712openalex-snapshot
Geometry from a Time Series
inferredcites →https://doi.org/10.1109/tac.1971.1099821openalex-snapshot
Realization of linear dynamical systems
inferredcites →https://doi.org/10.1109/tac.1981.1102568openalex-snapshot
Principal component analysis in linear systems: Controllability, observability, and model reduction
inferredcites →https://doi.org/10.1109/tau.1967.1161901openalex-snapshot
The use of fast Fourier transform for the estimation of power spectra: A method based on time averaging over short, modified periodograms
inferredcites →https://doi.org/10.1115/1.4042736openalex-snapshot
Wave-Packet Models for Jet Dynamics and Sound Radiation
inferredcites →https://doi.org/10.1126/science.261.5121.578openalex-snapshot
Hydrodynamic Stability Without Eigenvalues
inferredcites →https://doi.org/10.1137/110853996openalex-snapshot
Hankel Matrix Rank Minimization with Applications to System Identification and Realization
inferredcites →https://doi.org/10.1137/17m1125236openalex-snapshot
Ergodic Theory, Dynamic Mode Decomposition, and Computation of Spectral Properties of the Koopman Operator
inferredcites →https://doi.org/10.1137/18m1216572openalex-snapshot
Time-Delay Observables for Koopman: Theory and Applications
inferredcites →https://doi.org/10.1142/s0218127405012429openalex-snapshot
MODEL REDUCTION FOR FLUIDS, USING BALANCED PROPER ORTHOGONAL DECOMPOSITION
inferredcites →https://doi.org/10.1146/annurev-fluid-010816-060042openalex-snapshot
Model Reduction for Flow Analysis and Control
inferredcites →https://doi.org/10.2514/2.1570openalex-snapshot
Balanced Model Reduction via the Proper Orthogonal Decomposition
inferredcites →https://doi.org/10.2514/3.20031openalex-snapshot
An eigensystem realization algorithm for modal parameter identification and model reduction
inferredcites →https://doi.org/10.2514/6.2000-1969openalex-snapshot
POD based models of self-sustained oscillations in the flow past an open cavity
inferredcites →https://doi.org/10.2514/6.2018-0274openalex-snapshot
Dimension Reduction for Shape Design Insight

What points at this work

Incoming claims: where this work appears in other papers’ reference lists and arguments.

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Conditional Space-Time Pod Extensions for Stability and Prediction Analysis
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inferred← citeshttps://doi.org/10.1007/978-981-97-2245-7_38openalex-snapshot
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inferred← citeshttps://doi.org/10.1007/s00707-025-04621-1openalex-snapshot
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inferred← citeshttps://doi.org/10.1016/j.ijheatfluidflow.2025.110124openalex-snapshot
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inferred← citeshttps://doi.org/10.1016/j.jcp.2024.113549openalex-snapshot
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inferred← citeshttps://doi.org/10.1016/j.jcp.2026.115403openalex-snapshot
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inferred← citeshttps://doi.org/10.1016/j.ymssp.2025.113843openalex-snapshot
Hankel matrix denoising for enhanced subspace state–space system identification in modal analysis
inferred← citeshttps://doi.org/10.1017/jfm.2024.100openalex-snapshot
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inferred← citeshttps://doi.org/10.1017/jfm.2024.1019openalex-snapshot
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inferred← citeshttps://doi.org/10.1017/jfm.2024.314openalex-snapshot
Direct numerical simulations of an airfoil undergoing dynamic stall at different background disturbance levels
inferred← citeshttps://doi.org/10.1017/jfm.2024.955openalex-snapshot
Sparse space–time resolvent analysis for statistically stationary and time-varying flows
inferred← citeshttps://doi.org/10.1017/jfm.2026.11251openalex-snapshot
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inferred← citeshttps://doi.org/10.1038/s41598-025-25667-0openalex-snapshot
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inferred← citeshttps://doi.org/10.1038/s41598-026-41995-1openalex-snapshot
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inferred← citeshttps://doi.org/10.1063/5.0296955openalex-snapshot
Feature-based modal decomposition of non-stationary flows
inferred← citeshttps://doi.org/10.1063/5.0327449openalex-snapshot
Spectral modal operator learning framework with decoupled spatial and temporal representations for unsteady flows
inferred← citeshttps://doi.org/10.1088/1873-7005/ade338openalex-snapshot
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inferred← citeshttps://doi.org/10.1098/rspa.2024.0900openalex-snapshot
Separation of periodic orbits in the delay-embedded space of chaotic attractors
inferred← citeshttps://doi.org/10.1098/rspa.2025.0270openalex-snapshot
Stochastic reduced-order Koopman model for turbulent flows
inferred← citeshttps://doi.org/10.1098/rspa.2025.0454openalex-snapshot
Data-driven forecasting of high-dimensional transient and stationary processes via space–time projection
inferred← citeshttps://doi.org/10.1103/ktxc-hgjfopenalex-snapshot
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inferred← citeshttps://doi.org/10.1109/ius62464.2025.11201802openalex-snapshot
Rapid Directional Ultrasound Super-Resolution Flow Imaging using Erythrocytes, Hankel Decomposition, and Optical Flow
inferred← citeshttps://doi.org/10.1109/tnsre.2025.3576110openalex-snapshot
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inferred← citeshttps://doi.org/10.1111/mice.13304openalex-snapshot
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