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Jordi-Lluís Figueras
Jordi-Lluís Figueras
Math department. Uppsala University
Verified email at math.uu.se - Homepage
Title
Cited by
Cited by
Year
The parameterization method for invariant manifolds
A Haro, M Canadell, JL Figueras, A Luque, JM Mondelo
Applied mathematical sciences 195, 2016
236*2016
Rigorous computer-assisted application of KAM theory: a modern approach
JL Figueras, A Haro, A Luque
Foundations of Computational Mathematics 17, 1123-1193, 2017
772017
Reliable computation of robust response tori on the verge of breakdown
JL Figueras, À Haro
SIAM Journal on Applied Dynamical Systems 11 (2), 597-628, 2012
54*2012
Collision of invariant bundles of quasi-periodic attractors in the dissipative standard map
R Calleja, JL Figueras
Chaos: An Interdisciplinary Journal of Nonlinear Science 22 (3), 2012
482012
A framework for the numerical computation and a posteriori verification of invariant objects of evolution equations
JL Figueras, M Gameiro, JP Lessard, R De La Llave
SIAM Journal on Applied Dynamical Systems 16 (2), 1070-1088, 2017
44*2017
Numerical computations and computer assisted proofs of periodic orbits of the Kuramoto--Sivashinsky equation
JL Figueras, R de la Llave
SIAM Journal on Applied Dynamical Systems 16 (2), 834-852, 2017
372017
Different scenarios for hyperbolicity breakdown in quasiperiodic area preserving twist maps
JL Figueras, À Haro
Chaos: An Interdisciplinary Journal of Nonlinear Science 25 (12), 2015
232015
Computer-assisted techniques for the verification of the Chebyshev property of Abelian integrals
JL Figueras, W Tucker, J Villadelprat
Journal of differential equations 254 (8), 3647-3663, 2013
222013
Triple collisions of invariant bundles
JL Figueras, À Haro
Discrete Contin. Dyn. Syst. Ser. B 18, 2069-2082, 2013
92013
Effective bounds for the measure of rotations
JL Figueras, A Haro, A Luque
Nonlinearity 33 (2), 700, 2019
82019
On the sharpness of the Rüssmann estimates
AL Jordi-Lluís Figueras, Alex Haro
Communications in Nonlinear Science and Numerical Simulations 55 (February …, 2018
82018
Sharp ½-Hölder continuity of the Lyapunov exponent at the bottom of the spectrum for a class of Schrödinger cocycles.
JL Figueras, TO Timoudas
Discrete & Continuous Dynamical Systems: Series A 40 (7), 2020
72020
A NOTE ON THE FRACTALIZATION OF SADDLE INVARIANT CURVES IN QUASIPERIODIC SYSTEMS.
JL Figueras, A Haro
Discrete & Continuous Dynamical Systems-Series S 9 (4), 2016
62016
A modified parameterization method for invariant Lagrangian tori for partially integrable Hamiltonian systems
JL Figueras, A Haro
Physica D: Nonlinear Phenomena 462, 134127, 2024
42024
The number of relative equilibria in the pcr4bp
JL Figueras, W Tucker, P Zgliczynski
Journal of Dynamics and Differential Equations, 1-51, 2022
42022
Seminumerical algorithms for computing invariant manifolds of vector fields at fixed points
À Haro, M Canadell, JL Figueras, A Luque, JM Mondelo, À Haro, ...
The Parameterization Method for Invariant Manifolds: From Rigorous Results …, 2016
32016
A parametrization algorithm to compute lower dimensional elliptic tori in Hamiltonian systems
C Caracciolo, JL Figueras, A Haro
arXiv preprint arXiv:2405.06432, 2024
2024
Sun-Jupiter-Saturn System may exist: A verified computation of quasiperiodic solutions for the planar three body problem
JL Figueras, A Haro
arXiv preprint arXiv:2403.10152, 2024
2024
Effective bounds for the measure of rotations
À Haro, A Luque, JL Figueras
Nonlinearity, 2019, vol. 33, num. 2, p. 700-741, 2019
2019
Existence of non-smooth bifurcations of uniformly hyperbolic invariant manifolds in skew product systems
JL Figueras, D Lilja
Nonlinearity 31 (12), 5573, 2018
2018
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Articles 1–20