Articles with public access mandates - Rafael de la LlaveLearn more
Not available anywhere: 4
KAM tori and whiskered invariant tori for non-autonomous systems
M Canadell, R de la Llave
Physica D: Nonlinear Phenomena 310, 104-113, 2015
Mandates: Government of Spain
An extension of Greene's criterion for conformally symplectic systems and a partial justification
RC Calleja, A Celletti, C Falcolini, R De la Llave
SIAM Journal on Mathematical Analysis 46 (4), 2350-2384, 2014
Mandates: Government of Italy
Uniform Boundedness of Iterates of Analytic Mappings Implies Linearization: a Simple Proof and Extensions
R De la Llave
Regular and Chaotic Dynamics 23, 1-11, 2018
Mandates: US National Science Foundation
Simple proofs and extensions of a result of LD Pustylnikov on the nonautonomous Siegel theorem
R De la Llave
Regular and Chaotic Dynamics 22, 650-676, 2017
Mandates: US National Science Foundation
Available somewhere: 62
A KAM theory for conformally symplectic systems: efficient algorithms and their validation
RC Calleja, A Celletti, R De la Llave
Journal of Differential Equations 255 (5), 978-1049, 2013
Mandates: Government of Italy
Computation of limit cycles and their isochrons: fast algorithms and their convergence
G Huguet, R De la Llave
SIAM Journal on Applied Dynamical Systems 12 (4), 1763-1802, 2013
Mandates: Government of Spain
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
Mandates: US National Science Foundation
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
Mandates: US National Science Foundation
Instability of high dimensional Hamiltonian systems: multiple resonances do not impede diffusion
A Delshams, R de la Llave, TM Seara
Advances in Mathematics 294, 689-755, 2016
Mandates: US National Science Foundation, Government of Spain
Construction of quasi-periodic solutions of state-dependent delay differential equations by the parameterization method II: Analytic case
X He, R de la Llave
Journal of Differential Equations 261 (3), 2068-2108, 2016
Mandates: US National Science Foundation, National Natural Science Foundation of China
An a posteriori KAM theorem for whiskered tori in Hamiltonian partial differential equations with applications to some ill-posed equations
R de la Llave, Y Sire
Archive for Rational Mechanics and Analysis 231 (2), 971-1044, 2019
Mandates: US National Science Foundation
Construction of quasi-periodic solutions of state-dependent delay differential equations by the parameterization method I: Finitely differentiable, hyperbolic case
X He, R de la Llave
Journal of Dynamics and Differential Equations 29, 1503-1517, 2017
Mandates: US National Science Foundation, National Natural Science Foundation of China
A general mechanism of diffusion in Hamiltonian systems: qualitative results
M Gidea, R de la Llave, T M‐Seara
Communications on Pure and Applied Mathematics 73 (1), 150-209, 2020
Mandates: US National Science Foundation, Government of Spain
Arnold diffusion in the planar elliptic restricted three-body problem: mechanism and numerical verification
MJ Capiński, M Gidea, R de la Llave
Nonlinearity 30 (1), 329, 2016
Mandates: US National Science Foundation
Local behavior near quasi-periodic solutions of conformally symplectic systems
RC Calleja, A Celletti, R de la Llave
Journal of Dynamics and Differential Equations 25 (3), 821-841, 2013
Mandates: Government of Italy
Rapid and accurate methods for computing whiskered tori and their manifolds in periodically perturbed planar circular restricted 3-body problems
B Kumar, RL Anderson, R de la Llave
Celestial Mechanics and Dynamical Astronomy 134 (1), 3, 2022
Mandates: US National Science Foundation, US National Aeronautics and Space …
Construction of invariant whiskered tori by a parameterization method. Part II: Quasi-periodic and almost periodic breathers in coupled map lattices
E Fontich, R de La Llave, Y Sire
Journal of Differential Equations 259 (6), 2180-2279, 2015
Mandates: Government of Spain
High-order resonant orbit manifold expansions for mission design in the planar circular restricted 3-body problem
B Kumar, RL Anderson, R de la Llave
Communications in Nonlinear Science and Numerical Simulation 97, 105691, 2021
Mandates: US National Science Foundation, US National Aeronautics and Space Administration
Transition state theory with quasi-periodic forcing
L Zhang, R de la Llave
Communications in Nonlinear Science and Numerical Simulation 62, 229-243, 2018
Mandates: US National Science Foundation, European Commission
Connecting orbits for compact infinite dimensional maps: computer assisted proofs of existence
R de la Llave, JD Mireles James
SIAM Journal on Applied Dynamical Systems 15 (2), 1268-1323, 2016
Mandates: US National Science Foundation
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