Effective methods for recurrence solutions in delay differential equations. - Joan Gimeno (2020)

Numerical Computation of Periodic Orbits and Isochrons for State-Dependent Delay Perturbation of an ODE in the Plane. - Joan Gimeno; Jiaqi Yang; Rafael de la Llave (SIAM J. Appl. Dyn. Syst., 2021)

Parameterization Method for State-Dependent Delay Perturbation of an Ordinary Differential Equation. - Jiaqi Yang; Joan Gimeno; Rafael de la Llave (SIAM J. Math. Anal., 2021)

Deep Non-crossing Quantiles through the Partial Derivative. - Axel Brando; Joan Gimeno; José A. Rodríguez-Serrano; Jordi Vitrià (AISTATS, 2022)

KAM quasi-periodic tori for the dissipative spin-orbit problem. - Renato C. Calleja; Alessandra Celletti; Joan Gimeno; Rafael de la Llave (Commun. Nonlinear Sci. Numer. Simul., 2022)

Accurate computations up to break-down of quasi-periodic attractors in the dissipative spin-orbit problem. - Renato C. Calleja; Alessandra Celletti; Joan Gimeno; Rafael de la Llave (CoRR, 2022)

Efficient and Accurate KAM Tori Construction for the Dissipative Spin-Orbit Problem Using a Map Reduction. - Renato C. Calleja; Alessandra Celletti; Joan Gimeno; Rafael de la Llave (J. Nonlinear Sci., 2022)

The Spin-Spin Problem in Celestial Mechanics. - Alessandra Celletti; Joan Gimeno; Mauricio Misquero (J. Nonlinear Sci., 2022)

Numerical Computation of High-Order Expansions of Invariant Manifolds of High-Dimensional Tori. - Joan Gimeno; Àngel Jorba; Begoña Nicolás; Estrella Olmedo (SIAM J. Appl. Dyn. Syst., 2022)

Numerical integration of high-order variational equations of ODEs. - Joan Gimeno; Àngel Jorba; Marc Jorba-Cuscó; Narcís Miguel; Maorong Zou (Appl. Math. Comput., 2023)

Persistence of Periodic Orbits under State-dependent Delayed Perturbations: Computer-assisted Proofs. - Joan Gimeno; Jean-Philippe Lessard; Jason D. Mireles-James; Jiaqi Yang (SIAM J. Appl. Dyn. Syst., 2023)

Accurate Computations up to Breakdown of Quasi-Periodic Attractors in the Dissipative Spin-Orbit Problem. - Renato C. Calleja; Alessandra Celletti; Joan Gimeno; Rafael de la Llave (J. Nonlinear Sci., 2024)

A note on the local behavior of the Taylor method for stiff ODEs. - Philip P. Forrier; Joan Gimeno; Àngel Jorba (Appl. Math. Comput., 2025)

Explicit numerical computation of normal forms for Poincaré maps. - Joan Gimeno; Àngel Jorba; Marc Jorba-Cuscó; Maorong Zou (Commun. Nonlinear Sci. Numer. Simul., 2025)