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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:

An A Posteriori KAM Theorem for Whiskered Tori in Hamiltonian Partial Differential Equations with Applications to some Ill-Posed Equations
Rafael de la Llave, Yannick Sire
Archive for Rational Mechanics and Analysis (2018) Vol. 231, Iss. 2, pp. 971-1044
Closed Access | Times Cited: 25

Showing 25 citing articles:

Long waves with a small amplitude on the surface of the water behave dynamically in nonlinear lattices on a non-dimensional grid
Mostafa M. A. Khater
International Journal of Modern Physics B (2022) Vol. 37, Iss. 19
Closed Access | Times Cited: 43
Computer-assisted proofs in PDE: a survey
Javier Gómez-Serrano
SeMA Journal (2019) Vol. 76, Iss. 3, pp. 459-484
Open Access | Times Cited: 56
Constructing Longulence in the Galerkin-Regularized Nonlinear Schrödinger and Complex Ginzburg-Landau Systems
Jian-Zhou Zhu
(2025)
Open Access
Travelling-Wave, Quasi-Periodic, and Persistent Longulent States of the Galerkin-Regularized Hydrodynamic-Type Systems
Jian-Zhou Zhu
(2025)
Closed Access
Constructing Longulence in the Galerkin-Regularized Nonlinear Schrödinger and Complex Ginzburg-Landau Systems
Jian-Zhou Zhu
(2025)
Open Access
Invariant KAM Tori Around Annular Vortex Patches for 2D Euler Equations
Zineb Hassainia, Taoufik Hmidi, Emeric Roulley
Communications in Mathematical Physics (2024) Vol. 405, Iss. 11
Closed Access | Times Cited: 4
Four-body cislunar quasi-periodic orbits and their application to ballistic lunar transfer design
Brian P. McCarthy, Kathleen C. Howell
Advances in Space Research (2022) Vol. 71, Iss. 1, pp. 556-584
Open Access | Times Cited: 12
KAM for Vortex Patches
Massimiliano Berti
Regular and Chaotic Dynamics (2024)
Closed Access | Times Cited: 1
Stable manifolds to bounded solutions in possibly ill-posed PDEs
Hongyu Cheng, Rafael de la Llave
Journal of Differential Equations (2019) Vol. 268, Iss. 8, pp. 4830-4899
Open Access | Times Cited: 11
Response Solutions to Quasi-Periodically Forced Systems, Even to Possibly Ill-Posed PDEs, with Strong Dissipation and any Frequency Vectors
Fenfen Wang, Rafael de la Llave
SIAM Journal on Mathematical Analysis (2020) Vol. 52, Iss. 4, pp. 3149-3191
Open Access | Times Cited: 11
Finite element approximation of invariant manifolds by the parameterization method
Jorge Gonzalez, J. D. Mireles James, Necibe Tuncer
Partial Differential Equations and Applications (2022) Vol. 3, Iss. 6
Closed Access | Times Cited: 6
Convexity of Whitham's highest cusped wave
Alberto Enciso, Javier Gómez-Serrano, Bruno Vergara
arXiv (Cornell University) (2018)
Open Access | Times Cited: 6
Response Solution to Ill-Posed Boussinesq Equation with Quasi-Periodic Forcing of Liouvillean Frequency
Fenfen Wang, Hongyu Cheng, Jianguo Si
Journal of Nonlinear Science (2019) Vol. 30, Iss. 2, pp. 657-710
Closed Access | Times Cited: 6
Existence of whiskered KAM tori of conformally symplectic systems
Renato Calleja, Alessandra Celletti, Rafael de la Llave
Nonlinearity (2019) Vol. 33, Iss. 1, pp. 538-597
Open Access | Times Cited: 6
Persistence and smooth dependence on parameters of periodic orbits in functional differential equations close to an ODE or an evolutionary PDE
Jiaqi Yang, Joan Gimeno, Rafael de la Llave
Journal of Differential Equations (2022) Vol. 338, pp. 76-127
Open Access | Times Cited: 4
Persistence of Periodic Orbits under State-dependent Delayed Perturbations: Computer-assisted Proofs
Joan Gimeno, Jean‐Philippe Lessard, J. D. Mireles James, et al.
SIAM Journal on Applied Dynamical Systems (2023) Vol. 22, Iss. 3, pp. 1743-1779
Open Access | Times Cited: 2
Quasi-periodic solution for the complex Ginzburg-Landau equation with continuous spectrum
Hepeng Li, Xiaoping Yuan
Journal of Mathematical Physics (2018) Vol. 59, Iss. 11
Closed Access | Times Cited: 5
Parameterized stable/unstable manifolds for periodic solutions of implicitly defined dynamical systems
Archana Timsina, J. D. Mireles James
Chaos Solitons & Fractals (2022) Vol. 161, pp. 112345-112345
Open Access | Times Cited: 3
Periodic and Quasiperiodic Waves on the Sphere
Gianni Arioli, Hans P. Koch
SIAM Journal on Applied Dynamical Systems (2024) Vol. 23, Iss. 4, pp. 2769-2792
Closed Access
Dynamical behavior of the long waves on the surface of the water with a small amplitude in none–dimensional nonlinear lattices
Hongwei Ma, Fuzhang Wang, Mostafa M. A. Khater, et al.
Journal of Ocean Engineering and Science (2022)
Open Access | Times Cited: 2
The Existence of Partially Localized Periodic–Quasiperiodic Solutions and Related KAM-Type Results for Elliptic Equations on the Entire Space
Peter Poláčik, Darío A. Valdebenito
Journal of Dynamics and Differential Equations (2021) Vol. 34, Iss. 4, pp. 3035-3056
Closed Access | Times Cited: 2
Invariant manifolds of partially normally hyperbolic invariant manifolds in Banach spaces
Deliang Chen
arXiv (Cornell University) (2019)
Open Access | Times Cited: 1
Response solutions to quasi-periodically forced systems, even to possibly ill-posed PDEs, with strong dissipation and any frequency vectors
Fenfen Wang, Rafael de la Llave
arXiv (Cornell University) (2019)
Open Access | Times Cited: 1
Whiskered KAM tori of conformally symplectic systems
Renato Calleja, Alessandra Celletti, Rafael de la Llave
Mathematics Research Reports (2020) Vol. 1, pp. 15-29
Open Access | Times Cited: 1
The existence of partially localized periodic-quasiperiodic solutions and related KAM-type results for elliptic equations on the entire space
Peter Poláčik, Darío A. Valdebenito
arXiv (Cornell University) (2020)
Closed Access
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