
OpenAlex is a bibliographic catalogue of scientific papers, authors and institutions accessible in open access mode, named after the Library of Alexandria. It's citation coverage is excellent and I hope you will find utility in this listing of citing articles!
If you click the article title, you'll navigate to the article, as listed in CrossRef. If you click the Open Access links, you'll navigate to the "best Open Access location". Clicking the citation count will open this listing for that article. Lastly at the bottom of the page, you'll find basic pagination options.
Requested Article:
High order direct parametrisation of invariant manifolds for model order reduction of finite element structures: application to large amplitude vibrations and uncovering of a folding point
Alessandra Vizzaccaro, Andrea Opreni, Loïc Salles, et al.
Nonlinear Dynamics (2022) Vol. 110, Iss. 1, pp. 525-571
Open Access | Times Cited: 54
Alessandra Vizzaccaro, Andrea Opreni, Loïc Salles, et al.
Nonlinear Dynamics (2022) Vol. 110, Iss. 1, pp. 525-571
Open Access | Times Cited: 54
Showing 1-25 of 54 citing articles:
Reduced order modeling of parametrized systems through autoencoders and SINDy approach: continuation of periodic solutions
Paolo Conti, Giorgio Gobat, Stefania Fresca, et al.
Computer Methods in Applied Mechanics and Engineering (2023) Vol. 411, pp. 116072-116072
Open Access | Times Cited: 38
Paolo Conti, Giorgio Gobat, Stefania Fresca, et al.
Computer Methods in Applied Mechanics and Engineering (2023) Vol. 411, pp. 116072-116072
Open Access | Times Cited: 38
Direct parametrisation of invariant manifolds for non-autonomous forced systems including superharmonic resonances
Alessandra Vizzaccaro, Giorgio Gobat, Attilio Frangi, et al.
Nonlinear Dynamics (2024) Vol. 112, Iss. 8, pp. 6255-6290
Open Access | Times Cited: 10
Alessandra Vizzaccaro, Giorgio Gobat, Attilio Frangi, et al.
Nonlinear Dynamics (2024) Vol. 112, Iss. 8, pp. 6255-6290
Open Access | Times Cited: 10
Nonlinear model reduction to temporally aperiodic spectral submanifolds
George Haller, Roshan S. Kaundinya
Chaos An Interdisciplinary Journal of Nonlinear Science (2024) Vol. 34, Iss. 4
Open Access | Times Cited: 10
George Haller, Roshan S. Kaundinya
Chaos An Interdisciplinary Journal of Nonlinear Science (2024) Vol. 34, Iss. 4
Open Access | Times Cited: 10
Nonautonomous spectral submanifolds for model reduction of nonlinear mechanical systems under parametric resonance
Thomas Thurnher, George Haller, Shobhit Jain
Chaos An Interdisciplinary Journal of Nonlinear Science (2024) Vol. 34, Iss. 7
Open Access | Times Cited: 8
Thomas Thurnher, George Haller, Shobhit Jain
Chaos An Interdisciplinary Journal of Nonlinear Science (2024) Vol. 34, Iss. 7
Open Access | Times Cited: 8
High-order direct parametrisation of invariant manifolds for model order reduction of finite element structures: application to generic forcing terms and parametrically excited systems
Andrea Opreni, Alessandra Vizzaccaro, Cyril Touzé, et al.
Nonlinear Dynamics (2022) Vol. 111, Iss. 6, pp. 5401-5447
Closed Access | Times Cited: 32
Andrea Opreni, Alessandra Vizzaccaro, Cyril Touzé, et al.
Nonlinear Dynamics (2022) Vol. 111, Iss. 6, pp. 5401-5447
Closed Access | Times Cited: 32
Deep learning‐based reduced order models for the real‐time simulation of the nonlinear dynamics of microstructures
Stefania Fresca, Giorgio Gobat, Patrick Fedeli, et al.
International Journal for Numerical Methods in Engineering (2022) Vol. 123, Iss. 20, pp. 4749-4777
Open Access | Times Cited: 30
Stefania Fresca, Giorgio Gobat, Patrick Fedeli, et al.
International Journal for Numerical Methods in Engineering (2022) Vol. 123, Iss. 20, pp. 4749-4777
Open Access | Times Cited: 30
Data-assisted non-intrusive model reduction for forced nonlinear finite elements models
Mattia Cenedese, Jacopo Marconi, George Haller, et al.
Nonlinear Dynamics (2024)
Open Access | Times Cited: 6
Mattia Cenedese, Jacopo Marconi, George Haller, et al.
Nonlinear Dynamics (2024)
Open Access | Times Cited: 6
A sub-structuring approach for model reduction of frictionally clamped thin-walled structures
Patrick Hippold, Johann Groß, Malte Krack
Mechanical Systems and Signal Processing (2025) Vol. 229, pp. 112482-112482
Open Access
Patrick Hippold, Johann Groß, Malte Krack
Mechanical Systems and Signal Processing (2025) Vol. 229, pp. 112482-112482
Open Access
Reduced order modeling of nonlinear microstructures through Proper Orthogonal Decomposition
Giorgio Gobat, Andrea Opreni, Stefania Fresca, et al.
Mechanical Systems and Signal Processing (2022) Vol. 171, pp. 108864-108864
Open Access | Times Cited: 26
Giorgio Gobat, Andrea Opreni, Stefania Fresca, et al.
Mechanical Systems and Signal Processing (2022) Vol. 171, pp. 108864-108864
Open Access | Times Cited: 26
Finite element computation of nonlinear modes and frequency response of geometrically exact beam structures
Marielle Debeurre, Aurélien Grolet, Bruno Cochelin, et al.
Journal of Sound and Vibration (2022) Vol. 548, pp. 117534-117534
Open Access | Times Cited: 25
Marielle Debeurre, Aurélien Grolet, Bruno Cochelin, et al.
Journal of Sound and Vibration (2022) Vol. 548, pp. 117534-117534
Open Access | Times Cited: 25
Extreme nonlinear dynamics of cantilever beams: effect of gravity and slenderness on the nonlinear modes
Marielle Debeurre, Aurélien Grolet, Olivier Thomas
Nonlinear Dynamics (2023) Vol. 111, Iss. 14, pp. 12787-12815
Closed Access | Times Cited: 13
Marielle Debeurre, Aurélien Grolet, Olivier Thomas
Nonlinear Dynamics (2023) Vol. 111, Iss. 14, pp. 12787-12815
Closed Access | Times Cited: 13
Reduced-order modeling of geometrically nonlinear rotating structures using the direct parametrisation of invariant manifolds
Adrien Martin, Andrea Opreni, Alessandra Vizzaccaro, et al.
Journal of Theoretical Computational and Applied Mechanics (2023)
Open Access | Times Cited: 12
Adrien Martin, Andrea Opreni, Alessandra Vizzaccaro, et al.
Journal of Theoretical Computational and Applied Mechanics (2023)
Open Access | Times Cited: 12
High order invariant manifold model reduction for systems with non-polynomial non-linearities: geometrically exact finite-element structures and validity limit
Aurélien Grolet, Alessandra Vizzaccaro, Marielle Debeurre, et al.
Research Square (Research Square) (2024)
Open Access | Times Cited: 4
Aurélien Grolet, Alessandra Vizzaccaro, Marielle Debeurre, et al.
Research Square (Research Square) (2024)
Open Access | Times Cited: 4
Phase resonance testing of highly flexible structures: Measurement of conservative nonlinear modes and nonlinear damping identification
Marielle Debeurre, Simon Benacchio, Aurélien Grolet, et al.
Mechanical Systems and Signal Processing (2024) Vol. 215, pp. 111423-111423
Closed Access | Times Cited: 4
Marielle Debeurre, Simon Benacchio, Aurélien Grolet, et al.
Mechanical Systems and Signal Processing (2024) Vol. 215, pp. 111423-111423
Closed Access | Times Cited: 4
Spectral submanifolds in time delay systems
Bence Szaksz, Gábor Orosz, Gábor Stépàn
Nonlinear Dynamics (2025)
Open Access
Bence Szaksz, Gábor Orosz, Gábor Stépàn
Nonlinear Dynamics (2025)
Open Access
Nonlinear model order reduction of resonant piezoelectric micro-actuators: An invariant manifold approach
Andrea Opreni, Giorgio Gobat, Cyril Touzé, et al.
Computers & Structures (2023) Vol. 289, pp. 107154-107154
Open Access | Times Cited: 10
Andrea Opreni, Giorgio Gobat, Cyril Touzé, et al.
Computers & Structures (2023) Vol. 289, pp. 107154-107154
Open Access | Times Cited: 10
Spectral Submanifolds of the Navier–Stokes Equations
Gergely Buza
SIAM Journal on Applied Dynamical Systems (2024) Vol. 23, Iss. 2, pp. 1052-1089
Open Access | Times Cited: 3
Gergely Buza
SIAM Journal on Applied Dynamical Systems (2024) Vol. 23, Iss. 2, pp. 1052-1089
Open Access | Times Cited: 3
Model reduction of rotor-foundation systems using the approximate invariant manifold method
Arthur Mereles, Diogo Stuani Alves, Kátia Lucchesi Cavalca
Nonlinear Dynamics (2023) Vol. 111, Iss. 12, pp. 10743-10768
Open Access | Times Cited: 8
Arthur Mereles, Diogo Stuani Alves, Kátia Lucchesi Cavalca
Nonlinear Dynamics (2023) Vol. 111, Iss. 12, pp. 10743-10768
Open Access | Times Cited: 8
Reduced Order Modeling of Nonlinear Vibrating Multiphysics Microstructures with Deep Learning-Based Approaches
Giorgio Gobat, Stefania Fresca, Andrea Manzoni, et al.
Sensors (2023) Vol. 23, Iss. 6, pp. 3001-3001
Open Access | Times Cited: 7
Giorgio Gobat, Stefania Fresca, Andrea Manzoni, et al.
Sensors (2023) Vol. 23, Iss. 6, pp. 3001-3001
Open Access | Times Cited: 7
Non-monotonic dynamics (mixed hardening/softening) in nonlinear continuous structures: An asymptotic formulation
Fangyan Lan, Tieding Guo
Nonlinear Dynamics (2024) Vol. 112, Iss. 17, pp. 14745-14772
Closed Access | Times Cited: 2
Fangyan Lan, Tieding Guo
Nonlinear Dynamics (2024) Vol. 112, Iss. 17, pp. 14745-14772
Closed Access | Times Cited: 2
Nonlinear Normal Modes of Vibrating Mechanical Systems: 10 Years of Progress
Yu.V. Mikhlin, К. В. Аврамов
Applied Mechanics Reviews (2023) Vol. 76, Iss. 5
Open Access | Times Cited: 6
Yu.V. Mikhlin, К. В. Аврамов
Applied Mechanics Reviews (2023) Vol. 76, Iss. 5
Open Access | Times Cited: 6
Reduced-order modeling of geometrically nonlinear structures. Part I: A low-order elimination technique
Tieding Guo, Giuseppe Rega
Nonlinear Dynamics (2023) Vol. 111, Iss. 21, pp. 19629-19654
Closed Access | Times Cited: 5
Tieding Guo, Giuseppe Rega
Nonlinear Dynamics (2023) Vol. 111, Iss. 21, pp. 19629-19654
Closed Access | Times Cited: 5
One-to-one internal resonance in a symmetric MEMS micromirror
Andrea Opreni, M. Furlan, Andreea Bursuc, et al.
Applied Physics Letters (2022) Vol. 121, Iss. 17
Closed Access | Times Cited: 9
Andrea Opreni, M. Furlan, Andreea Bursuc, et al.
Applied Physics Letters (2022) Vol. 121, Iss. 17
Closed Access | Times Cited: 9
Bifurcations and limit cycle prediction of rotor systems with fluid-film bearings using center manifold reduction
Arthur Mereles, Diogo Stuani Alves, Kátia Lucchesi Cavalca
Nonlinear Dynamics (2023) Vol. 111, Iss. 19, pp. 17749-17767
Open Access | Times Cited: 5
Arthur Mereles, Diogo Stuani Alves, Kátia Lucchesi Cavalca
Nonlinear Dynamics (2023) Vol. 111, Iss. 19, pp. 17749-17767
Open Access | Times Cited: 5
Reduced-order model of geometrically nonlinear flexible structures for fluid–structure interaction applications
T. Flament, Jean‐François Deü, Antoine Placzek, et al.
International Journal of Non-Linear Mechanics (2023) Vol. 158, pp. 104587-104587
Open Access | Times Cited: 5
T. Flament, Jean‐François Deü, Antoine Placzek, et al.
International Journal of Non-Linear Mechanics (2023) Vol. 158, pp. 104587-104587
Open Access | Times Cited: 5