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Paper Citation Record · LEDGER

Data-driven nonlinear modal identification of nonlinear dynamical systems with physics-constrained Normalizing Flows

As of 13 August 2026, this Paper Citation Record lists 58 of 58 outbound references and 0 inbound Pith citation observations for arXiv:2501.14124.

A citation records a reference. It does not transfer a finding from one paper to another.

pith.paper-citation-record.v1
2501.14124 v1

Coverage vector

measured 58 of 58 reference resolution

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measured 0 of 0 inbound itemization

Pith citing papers itemized under the disclosed page cap.

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measured 0 of 1 external citation measurements

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Source: cited_works

Reference resolution

58 of 58 outbound references displayed

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External citation measurements

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Outbound references

Observation 4757fe2e-2cd0-4397-9ae9-911dc371313f · outbound

This paper cites John Mallinckrodt, and Susan McKay.

Data-driven nonlinear modal identification of nonlinear dynamical systems with physics-constrained Normalizing Flows John Mallinckrodt, and Susan McKay

Reference 1

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This paper cites Modal Analysis Theory and Testing.

Data-driven nonlinear modal identification of nonlinear dynamical systems with physics-constrained Normalizing Flows Modal Analysis Theory and Testing

Reference 2

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This paper cites Nonlinear nor- mal modes and spectral submanifolds: existence, uniqueness and use in model reduction.

Data-driven nonlinear modal identification of nonlinear dynamical systems with physics-constrained Normalizing Flows Nonlinear nor- mal modes and spectral submanifolds: existence, uniqueness and use in model reduction

Reference 3

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This paper cites Experimen- tal modal analysis for dynamic models of space- craft.

Data-driven nonlinear modal identification of nonlinear dynamical systems with physics-constrained Normalizing Flows Experimen- tal modal analysis for dynamic models of space- craft

Reference 4

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Data-driven nonlinear modal identification of nonlinear dynamical systems with physics-constrained Normalizing Flows Unresolved cited work

Reference 5

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This paper cites Touz´ e, M.

Data-driven nonlinear modal identification of nonlinear dynamical systems with physics-constrained Normalizing Flows Touz´ e, M

Reference 6

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This paper cites Bladh, C.

Data-driven nonlinear modal identification of nonlinear dynamical systems with physics-constrained Normalizing Flows Bladh, C

Reference 7

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Data-driven nonlinear modal identification of nonlinear dynamical systems with physics-constrained Normalizing Flows Unresolved cited work

Reference 8

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This paper cites Modern solutions for ground vibra- tion testing of large aircraft.

Data-driven nonlinear modal identification of nonlinear dynamical systems with physics-constrained Normalizing Flows Modern solutions for ground vibra- tion testing of large aircraft

Reference 9

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Data-driven nonlinear modal identification of nonlinear dynamical systems with physics-constrained Normalizing Flows Unresolved cited work

Reference 10

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This paper cites Kerschen, M.

Data-driven nonlinear modal identification of nonlinear dynamical systems with physics-constrained Normalizing Flows Kerschen, M

Reference 11

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This paper cites Independent component analysis: a tutorial introduction.

Data-driven nonlinear modal identification of nonlinear dynamical systems with physics-constrained Normalizing Flows Independent component analysis: a tutorial introduction

Reference 12

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Data-driven nonlinear modal identification of nonlinear dynamical systems with physics-constrained Normalizing Flows Physical interpretation of independent compo- nent analysis in structural dynamics

Reference 13

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Data-driven nonlinear modal identification of nonlinear dynamical systems with physics-constrained Normalizing Flows Dynamic mode decom- position: data-driven modeling of complex systems

Reference 14

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Data-driven nonlinear modal identification of nonlinear dynamical systems with physics-constrained Normalizing Flows Dynamic mode decomposition of numerical and experimental data

Reference 15

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Data-driven nonlinear modal identification of nonlinear dynamical systems with physics-constrained Normalizing Flows Applications of the dynamic mode decom- position

Reference 16

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Data-driven nonlinear modal identification of nonlinear dynamical systems with physics-constrained Normalizing Flows Spectral properties of dynamical sys- tems, model reduction and decompositions

Reference 17

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Data-driven nonlinear modal identification of nonlinear dynamical systems with physics-constrained Normalizing Flows Analysis of Fluid Flows via Spectral Properties of the Koopman Operator

Reference 18

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Data-driven nonlinear modal identification of nonlinear dynamical systems with physics-constrained Normalizing Flows Nonlinear nor- mal modes, part i: A useful framework for the struc- tural dynamicist

Reference 21

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Data-driven nonlinear modal identification of nonlinear dynamical systems with physics-constrained Normalizing Flows Analysis and identification of linear and nonlinear normal modes in vibrating systems

Reference 22

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Data-driven nonlinear modal identification of nonlinear dynamical systems with physics-constrained Normalizing Flows A higher order approximation for non-linear normal modes in two degree of free- dom systems

Reference 23

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Data-driven nonlinear modal identification of nonlinear dynamical systems with physics-constrained Normalizing Flows Non-linear normal modes and invariant manifolds

Reference 24

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Data-driven nonlinear modal identification of nonlinear dynamical systems with physics-constrained Normalizing Flows Normal modes for non-linear vibratory systems

Reference 25

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Data-driven nonlinear modal identification of nonlinear dynamical systems with physics-constrained Normalizing Flows Kuether and Matthew S

Reference 27

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Data-driven nonlinear modal identification of nonlinear dynamical systems with physics-constrained Normalizing Flows Peeters, R

Reference 28

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Data-driven nonlinear modal identification of nonlinear dynamical systems with physics-constrained Normalizing Flows Automated computation of autonomous spectral submanifolds for nonlinear modal analy- sis

Reference 29

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Data-driven nonlinear modal identification of nonlinear dynamical systems with physics-constrained Normalizing Flows Universal approximation of an unknown mapping and its derivatives using multilayer feed- forward networks

Reference 30

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Data-driven nonlinear modal identification of nonlinear dynamical systems with physics-constrained Normalizing Flows Threat of Ad- versarial Attacks on Deep Learning in Computer Vision: A Survey, feb 2018

Reference 31

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Data-driven nonlinear modal identification of nonlinear dynamical systems with physics-constrained Normalizing Flows Nonlinear modal anal- ysis via non-parametric machine learning tools

Reference 32

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Data-driven nonlinear modal identification of nonlinear dynamical systems with physics-constrained Normalizing Flows Worden and P

Reference 33

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Data-driven nonlinear modal identification of nonlinear dynamical systems with physics-constrained Normalizing Flows Learning deep neural network representations for koopman operators of nonlinear dynamical sys- tems

Reference 34

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Observation 90b3834c-8379-4ec0-9f54-a45a40ca22c9 · outbound

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Data-driven nonlinear modal identification of nonlinear dynamical systems with physics-constrained Normalizing Flows Deep learning for universal linear em- beddings of nonlinear dynamics

Reference 35

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Observation 5d0b8952-cd1e-4cdc-b58b-a835ba5cdc98 · outbound

This paper cites Learning koopman invariant subspaces for dynamic mode decomposition.

Data-driven nonlinear modal identification of nonlinear dynamical systems with physics-constrained Normalizing Flows Learning koopman invariant subspaces for dynamic mode decomposition

Reference 36

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Observation a6245b5e-d8ab-49a0-ba8f-a75541b6a1ec · outbound

This paper cites Data-driven iden- tification of nonlinear normal modes via physics- integrated deep learning.

Data-driven nonlinear modal identification of nonlinear dynamical systems with physics-constrained Normalizing Flows Data-driven iden- tification of nonlinear normal modes via physics- integrated deep learning

Reference 37

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Observation 78e057e9-251a-4082-92bb-da0dfbb2e090 · outbound

This paper cites Imitationflow: Learning deep sta- ble stochastic dynamic systems by normalizing flows.

Data-driven nonlinear modal identification of nonlinear dynamical systems with physics-constrained Normalizing Flows Imitationflow: Learning deep sta- ble stochastic dynamic systems by normalizing flows

Reference 38

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Observation 3ffd620c-6d33-4156-b8d2-e2382f98988d · outbound

This paper cites Normalizing flows: An introduction and review of current methods.

Data-driven nonlinear modal identification of nonlinear dynamical systems with physics-constrained Normalizing Flows Normalizing flows: An introduction and review of current methods

Reference 39

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Observation 993e27ed-1922-4621-b421-19c244ad6b48 · outbound

This paper cites Learning stable normalizing- 18 Abdolvahhab Rostamijavanani et al.

Data-driven nonlinear modal identification of nonlinear dynamical systems with physics-constrained Normalizing Flows Learning stable normalizing- 18 Abdolvahhab Rostamijavanani et al

Reference 40

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Observation df49c952-ddc9-499c-984a-cef04bbd4ef2 · outbound

This paper cites Probabilistic sur- rogate modeling of unsteady fluid dynamics using deep graph normalizing flows.Bulletin of the Amer- ican Physical Society, 2022.

Data-driven nonlinear modal identification of nonlinear dynamical systems with physics-constrained Normalizing Flows Probabilistic sur- rogate modeling of unsteady fluid dynamics using deep graph normalizing flows.Bulletin of the Amer- ican Physical Society, 2022

Reference 41

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Observation 8efb4e6c-4b88-4d6f-a8a9-4f19828bbc5e · outbound

This paper cites NICE: Non-linear Independent Components Estimation.

Data-driven nonlinear modal identification of nonlinear dynamical systems with physics-constrained Normalizing Flows NICE: Non-linear Independent Components Estimation

Reference 42

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Observation 046cc418-6740-40c6-a4f3-cadee0d3a0e2 · outbound

This paper cites Density estimation using Real NVP.

Data-driven nonlinear modal identification of nonlinear dynamical systems with physics-constrained Normalizing Flows Density estimation using Real NVP

Reference 43

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Observation 021e702b-29c7-44e5-b1fb-d82204d77616 · outbound

This paper cites Normalizing flows for probabilistic modeling and inference.

Data-driven nonlinear modal identification of nonlinear dynamical systems with physics-constrained Normalizing Flows Normalizing flows for probabilistic modeling and inference

Reference 44

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Observation 0ea216e4-d617-4162-910b-d7449c0ffc8d · outbound

This paper cites Generative adver- sarial networks.

Data-driven nonlinear modal identification of nonlinear dynamical systems with physics-constrained Normalizing Flows Generative adver- sarial networks

Reference 45

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Observation cc95769c-6efa-49e2-af7f-e0596367626f · outbound

This paper cites Auto-Encoding Variational Bayes.

Data-driven nonlinear modal identification of nonlinear dynamical systems with physics-constrained Normalizing Flows Auto-Encoding Variational Bayes

Reference 46

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Observation cc83f985-5fae-41d0-9e03-3ef3c84e279b · outbound

This paper cites Nathan Kutz, and Steven L.

Data-driven nonlinear modal identification of nonlinear dynamical systems with physics-constrained Normalizing Flows Nathan Kutz, and Steven L

Reference 47

Resolution
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Observation 95212b97-4af0-4dd8-97b0-81b8aa50d7e6 · outbound

This paper cites Understand- ing the difficulty of training deep feedforward neu- ral networks.

Data-driven nonlinear modal identification of nonlinear dynamical systems with physics-constrained Normalizing Flows Understand- ing the difficulty of training deep feedforward neu- ral networks

Reference 48

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Observation e1fa35cd-d9e7-4698-8627-96c606a3b470 · outbound

This paper cites Non-stationary random response of mdof duffing systems.

Data-driven nonlinear modal identification of nonlinear dynamical systems with physics-constrained Normalizing Flows Non-stationary random response of mdof duffing systems

Reference 49

Resolution
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Observation a62112a7-e3d5-423e-8043-7d2e882191d5 · outbound

This paper cites On lyapunov control of the duffing equation.

Data-driven nonlinear modal identification of nonlinear dynamical systems with physics-constrained Normalizing Flows On lyapunov control of the duffing equation

Reference 50

Resolution
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Observation bb6c65ed-1673-486a-8fe1-1a7d13229e54 · outbound

This paper cites Modal testing of nonlinear vibrat- ing structures based on nonlinear normal modes: Experimental demonstration.

Data-driven nonlinear modal identification of nonlinear dynamical systems with physics-constrained Normalizing Flows Modal testing of nonlinear vibrat- ing structures based on nonlinear normal modes: Experimental demonstration

Reference 51

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Observation 94f150b5-4881-43f8-bc74-43eff4ff0f07 · outbound

This paper cites Hidden fluid mechanics: Learning ve- locity and pressure fields from flow visualizations.

Data-driven nonlinear modal identification of nonlinear dynamical systems with physics-constrained Normalizing Flows Hidden fluid mechanics: Learning ve- locity and pressure fields from flow visualizations

Reference 52

Resolution
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raw_fallback, observed 2026-08-10T15:26:18.033582Z

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No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

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Observation 921d275d-e940-4052-a611-3147d83f9f0a · outbound

This paper cites Nonlinear mode decomposition with convolutional neural networks for fluid dynamics.

Data-driven nonlinear modal identification of nonlinear dynamical systems with physics-constrained Normalizing Flows Nonlinear mode decomposition with convolutional neural networks for fluid dynamics

Reference 53

Resolution
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Observation 2c861397-9954-49eb-8f31-06cf9145a86c · outbound

This paper cites Turbulence, coherent struc- tures, dynamical systems and symmetry.

Data-driven nonlinear modal identification of nonlinear dynamical systems with physics-constrained Normalizing Flows Turbulence, coherent struc- tures, dynamical systems and symmetry

Reference 54

Resolution
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No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

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Observation cfa04955-46e2-46d7-8932-d729369e5989 · outbound

This paper cites Modal analysis of fluid flows: An overview.

Data-driven nonlinear modal identification of nonlinear dynamical systems with physics-constrained Normalizing Flows Modal analysis of fluid flows: An overview

Reference 55

Resolution
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No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

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Observation 954e148d-e6aa-460f-8831-c28b8001b80b · outbound

This paper cites A geometric interpretation of darroch and ratcliff’s generalized iterative scaling.

Data-driven nonlinear modal identification of nonlinear dynamical systems with physics-constrained Normalizing Flows A geometric interpretation of darroch and ratcliff’s generalized iterative scaling

Reference 56

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raw_fallback, observed 2026-08-10T15:26:17.970086Z

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Observation b345d5bd-2bf2-4b3e-bf3e-6229bbfa640e · outbound

This paper cites Ranking of smart building de- sign factors with efficient energy management sys- tems and renewable resources.

Data-driven nonlinear modal identification of nonlinear dynamical systems with physics-constrained Normalizing Flows Ranking of smart building de- sign factors with efficient energy management sys- tems and renewable resources

Reference 57

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raw_fallback, observed 2026-08-10T15:26:17.955739Z

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No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

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Observation 33a3678f-2b71-4363-b98a-41ea1ba77ef5 · outbound

This paper cites Smart materials in green ar- chitecture: The role of etfe and phase change ma- terials in sustainable building design.

Data-driven nonlinear modal identification of nonlinear dynamical systems with physics-constrained Normalizing Flows Smart materials in green ar- chitecture: The role of etfe and phase change ma- terials in sustainable building design

Reference 58

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