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Advanced Proper Orthogonal Decomposition Tools: Using Reduced Order Models to Identify Normal Modes of Vibration and Slow Invariant Manifolds in the Dynamics of Planar Nonlinear Rods

Nonlinear dynamics, 2005-08, Vol.41 (1-3), p.69-110

Georgiou, Ioannis

2005

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How to compute invariant manifolds and their reduced dynamics in high-dimensional finite element models

Nonlinear dynamics, 2022, Vol.107 (2), p.1417-1450

2022

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Model order reduction methods for geometrically nonlinear structures: a review of nonlinear techniques

Nonlinear dynamics, 2021-07, Vol.105 (2), p.1141-1190

2021

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Deep neural network for unsteady aerodynamic and aeroelastic modeling across multiple Mach numbers

Nonlinear dynamics, 2019-05, Vol.96 (3), p.2157-2177

2019

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Nonlinear analysis of forced mechanical systemswith internal resonance using spectral submanifolds, Part I: Periodic response and forced response curve

Nonlinear dynamics, 2022-10, Vol.110 (2), p.1005-1043

2022

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Nonlinear analysis of forced mechanical systems with internal resonance using spectral submanifolds, Part II: Bifurcation and quasi-periodic response

Nonlinear dynamics, 2022-10, Vol.110 (2), p.1045-1080

2022

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Fast data-driven model reduction for nonlinear dynamical systems

Nonlinear dynamics, 2023-05, Vol.111 (9), p.7941-7957

2023

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Model reduction for constrained mechanical systems via spectral submanifolds

Nonlinear dynamics, 2023-05, Vol.111 (10), p.8881-8911

2023

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Data-driven model order reduction for structures with piecewise linear nonlinearity using dynamic mode decomposition

Nonlinear dynamics, 2023-11, Vol.111 (22), p.20597-20616

2023

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On an improved adaptive reduced-order model for the computation of steady-state vibrations in large-scale non-conservative systems with friction joints

Nonlinear dynamics, 2021-03, Vol.103 (4), p.3283-3300

2021

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Online damage detection via a synergy of proper orthogonal decomposition and recursive Bayesian filters

Nonlinear dynamics, 2017-07, Vol.89 (2), p.1489-1511

2017

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Unknown input observer design for one-sided Lipschitz nonlinear systems

Nonlinear dynamics, 2015-01, Vol.79 (2), p.1469-1479

2015

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On the frequency response computation of geometrically nonlinear flat structures using reduced-order finite element models

Nonlinear dynamics, 2019-07, Vol.97 (2), p.1747-1781

2019

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Active control of liquid film flows: beyond reduced-order models

Nonlinear dynamics, 2021-03, Vol.104 (1), p.267-287

2021

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Reduced order dynamical models for complex dynamics in manufacturing and natural systems using machine learning

Nonlinear dynamics, 2022-10, Vol.110 (2), p.1613-1631

2022

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Comparison of nonlinear mappings for reduced-order modelling of vibrating structures: normal form theory and quadratic manifold method with modal derivatives

Nonlinear dynamics, 2021-03, Vol.103 (4), p.3335-3370

2021

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Hierarchical deep learning for data-driven identification of reduced-order models of nonlinear dynamical systems

Nonlinear dynamics, 2021-09, Vol.105 (4), p.3409-3422

2021

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Reduced-order modeling: a personal journey

Nonlinear dynamics, 2023-06, Vol.111 (11), p.9699-9720

Dowell, Earl

2023

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Reduced-order modeling of geometrically nonlinear structures. Part I: A low-order elimination technique

Nonlinear dynamics, 2023-11, Vol.111 (21), p.19629-19654

2023

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Emergence of diverse dynamical responses in a fractional-order slow–fast pest–predator model

Nonlinear dynamics, 2023-05, Vol.111 (9), p.8821-8836

2023

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Parametric reduced-order modeling for component-oriented treatment and localized nonlinear feature inclusion

Nonlinear dynamics, 2024-03, Vol.112 (5), p.3399-3420

2024

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Vibro-impact dynamics of large-scale geared systems

Nonlinear dynamics, 2023-03, Vol.111 (6), p.4959-4976

2023

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Arch microbeam bifurcation gas sensors

Nonlinear dynamics, 2021-04, Vol.104 (2), p.923-940

2021

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Performance characterization and modeling of an oscillating surge wave energy converter

Nonlinear dynamics, 2024-03, Vol.112 (6), p.4007-4025

2024

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Nonlinear normal modes and spectral submanifolds: existence, uniqueness and use in model reduction

Nonlinear dynamics, 2016-11, Vol.86 (3), p.1493-1534

2016

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Advanced Proper Orthogonal Decomposition Tools: Using Reduced Order Models to Identify Normal Modes of Vibration and Slow Invariant Manifolds in the Dynamics of Planar Nonlinear Rods

How to compute invariant manifolds and their reduced dynamics in high-dimensional finite element models

Model order reduction methods for geometrically nonlinear structures: a review of nonlinear techniques

Deep neural network for unsteady aerodynamic and aeroelastic modeling across multiple Mach numbers

Nonlinear analysis of forced mechanical systemswith internal resonance using spectral submanifolds, Part I: Periodic response and forced response curve

Nonlinear analysis of forced mechanical systems with internal resonance using spectral submanifolds, Part II: Bifurcation and quasi-periodic response

Fast data-driven model reduction for nonlinear dynamical systems

Model reduction for constrained mechanical systems via spectral submanifolds

Data-driven model order reduction for structures with piecewise linear nonlinearity using dynamic mode decomposition

On an improved adaptive reduced-order model for the computation of steady-state vibrations in large-scale non-conservative systems with friction joints

Online damage detection via a synergy of proper orthogonal decomposition and recursive Bayesian filters

Unknown input observer design for one-sided Lipschitz nonlinear systems

On the frequency response computation of geometrically nonlinear flat structures using reduced-order finite element models

Active control of liquid film flows: beyond reduced-order models

Reduced order dynamical models for complex dynamics in manufacturing and natural systems using machine learning

Comparison of nonlinear mappings for reduced-order modelling of vibrating structures: normal form theory and quadratic manifold method with modal derivatives

Hierarchical deep learning for data-driven identification of reduced-order models of nonlinear dynamical systems

Reduced-order modeling: a personal journey

Reduced-order modeling of geometrically nonlinear structures. Part I: A low-order elimination technique

Emergence of diverse dynamical responses in a fractional-order slow–fast pest–predator model

Parametric reduced-order modeling for component-oriented treatment and localized nonlinear feature inclusion

Vibro-impact dynamics of large-scale geared systems

Arch microbeam bifurcation gas sensors

Performance characterization and modeling of an oscillating surge wave energy converter

Nonlinear normal modes and spectral submanifolds: existence, uniqueness and use in model reduction

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