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OpenAlex Citation Counts

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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 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

Showing 1-25 of 32 citing articles:

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
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
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
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
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
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
Exploiting Global Dynamics for Analysis, Control and Design of Mechanical Systems and Structures Across Different Length/time Scales
Giuseppe Rega
IUTAM bookseries (2025), pp. 3-18
Closed Access
Spectral submanifolds in time delay systems
Bence Szaksz, Gábor Orosz, Gábor Stépàn
Nonlinear Dynamics (2025)
Open Access
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
Online learning in bifurcating dynamic systems via SINDy and Kalman filtering
Luca Rosafalco, Paolo Conti, Andrea Manzoni, et al.
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
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
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
Reduced-order modeling of geometrically nonlinear structures. Part II: Correspondence and unified perspectives on different reduction techniques
Tieding Guo, Giuseppe Rega
Nonlinear Dynamics (2023) Vol. 111, Iss. 21, pp. 19655-19684
Closed Access | Times Cited: 8
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
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
Modelling the Periodic Response of Micro-Electromechanical Systems through Deep Learning-Based Approaches
Giorgio Gobat, Alessia Baronchelli, Stefania Fresca, et al.
Actuators (2023) Vol. 12, Iss. 7, pp. 278-278
Open Access | Times Cited: 4
Global Nonlinear Dynamics: Challenges in the Analysis and Safety of Deterministic or Stochastic Systems
Giuseppe Rega
Courses and lectures (2024), pp. 151-200
Closed Access | Times Cited: 1
Parametric model reduction for a cantilevered pipe conveying fluid via parameter-dependent center and unstable manifolds
Mingwu Li, Lin Wang
International Journal of Non-Linear Mechanics (2023) Vol. 160, pp. 104629-104629
Closed Access | Times Cited: 4
Failing parametrizations: what can go wrong when approximating spectral submanifolds
Alexander K. Stoychev, Ulrich J. Römer
Nonlinear Dynamics (2022) Vol. 111, Iss. 7, pp. 5963-6000
Open Access | Times Cited: 6
Ensuring the accuracy of indirect nonlinear dynamic reduced-order models
Xiao Xiao, Thomas Hill, Simon A. Neild
Nonlinear Dynamics (2023) Vol. 112, Iss. 3, pp. 1997-2019
Open Access | Times Cited: 3
Model order reduction for nonlinear modal analysis of MEMS devices: theory and recent advancements
Andrea Opreni, Peter Degenfeld-Schonburg
(2023), pp. 1-7
Closed Access | Times Cited: 2
Nonlinear Normal Modes as Invariant Manifolds for Model Order Reduction
Cyril Touzé, Alessandra Vizzaccaro
Courses and lectures (2024), pp. 59-116
Closed Access
Understanding, Computing and Identifying the Nonlinear Dynamics of Elastic and Piezoelectric Structures Thanks to Nonlinear Modes
Olivier Thomas
Courses and lectures (2024), pp. 151-236
Closed Access
Model reduction of high-dimensional self-excited nonlinear systems using floquet theory based parameterization method
Shan Fan, Ling Hong, Jun Jiang
Nonlinear Dynamics (2024) Vol. 113, Iss. 2, pp. 1137-1161
Closed Access
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