Rafael de la Llave

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KAM quasi-periodic solutions for the dissipative standard map

Alessandra Celletti, Renato C. Calleja, Rafael de la Llave, 2021, Commun. Nonlinear Sci. Numer. Simul..

The existence of solutions for nonlinear elliptic equations: Simple proofs and extensions of a paper by Y. Shi

Fenfen Wang, Xiaodan Xu, Rafael de la Llave, 2021, Journal of Differential Equations.

Parameterization Method for State-Dependent Delay Perturbation of an Ordinary Differential Equation

Jiaqi Yang, Rafael de la Llave, Joan Gimeno, 2021, SIAM J. Math. Anal..

Computation and Analysis of Jupiter-Europa and Jupiter-Ganymede Resonant Orbits in the Planar Concentric Circular Restricted 4-Body Problem

Rodney L. Anderson, Brian Gunter, Rafael de la Llave, 2021 .

Using GPUs and the Parameterization Method for Rapid Search and Refinement of Connections between Tori in Periodically Perturbed Planar Circular Restricted 3-Body Problems

Rodney L. Anderson, Rafael de la Llave, Bhanu Kumar, 2021 .

Computing the Invariant Circle and the Foliation by Stable Manifolds for a 2-D Map by the Parameterization Method: Numerical Implementation and Results pdf

Yian Yao, Rafael De La Llave, Rafael de la Llave, 2021, ArXiv.

Lyapunov Exponents Everywhere and Rigidity

Rafael de la Llave, F. Micena, 2021, Journal of Dynamical and Control Systems.

Accurate computations up to break-down of quasi-periodic attractors in the dissipative spin-orbit problem

Rafael de la Llave, A. Celletti, J. Gimeno, 2022, ArXiv.

A Simple Proof of Gevrey Estimates for Expansions of Quasi-Periodic Orbits: Dissipative Models and Lower-Dimensional Tori

Rafael de la Llave, Adrián P. Bustamante, Rafael de la Llave, 2023, Regular and Chaotic Dynamics.

Computing the Invariant Circle and its Stable Manifolds for a 2-D Map by the Parameterization Method: Effective Algorithms and Rigorous Proofs of Convergence

Yian Yao, Rafael De La Llave, Rafael de la Llave, 2021, 2110.15882.

Stable manifolds to bounded solutions in possibly ill-posed PDEs

Rafael de la Llave, Hon-Wing Cheng, R. Llave, 2020 .

A general mechanism of instability in Hamiltonian systems: Skipping along a normally hyperbolic invariant manifold

T. M. Seara, Rafael de la Llave, T. Seara, 2020, Discrete and Continuous Dynamical Systems. Series A.

Time dependent center manifold in PDEs

Rafael de la Llave, Hon-Wing Cheng, R. Llave, 2020, Discrete & Continuous Dynamical Systems - A.

Resonances and Phase Locking Phenomena for Foliation Preserving Torus Maps

Rafael de la Llave, Xiaolong He, 2022, SIAM J. Appl. Dyn. Syst..

About This Journal

Rafael de la Llave, S. Levy, D. Epstein, 1992, Exp. Math..

4th Body-Induced Secondary Resonance Overlapping Inside Unstable Resonant Orbit Families: a Jupiter-Ganymede 4:3 + Europa Case Study

Rafael de la Llave, Bhanu Kumar, Rodney L. Anderson, 2023, 2309.06073.

Efficient and Reliable Algorithms for the Computation of Non-Twist Invariant Circles

Àlex Haro, Rafael de la Llave, Rafael de la Llave, 2021, Found. Comput. Math..

Pattern-equivariant Cohomology of Tiling Spaces With Rotations

Rafael de la Llave, M. Marder, Daniel Allcock, 2006 .

Accurate Computations up to Breakdown of Quasi-Periodic Attractors in the Dissipative Spin–Orbit Problem

Rafael de la Llave, A. Celletti, J. Gimeno, 2022, Journal of Nonlinear Science.

A numerically accessible criterion for the breakdown of quasi-periodic solutions and its rigorous justification

Rafael de la Llave, Renato C. Calleja, Rafael de la Llave, 2010 .

Weak solvability of fractional Voigt model of viscoelasticity

Rafael de la Llave, V. Zvyagin, V. Orlov, 2018 .

RESPONSE SOLUTIONS TO QUASI-PERIODICALLY FORCED SYSTEMS, EVEN TO POSSIBLY ILL-POSED PDES, WITH STRONGLY DISSIPATION AND ANY FREQUENCY VECTORS

Rafael de la Llave, 2019 .

A geometric approach to the existence of orbits with unbounded energy in generic periodic perturbations by a potential of generic geodesic flows of T 2

T. M. Seara, Rafael de la Llave, M. Alonso, 1999 .

A geometric mechanism for diffusion in Hamiltonian systems overcoming the large gap problem: heuristics and rigorous verification on a model.

T. M. Seara, Rafael de la Llave, M. Alonso, 2003 .

Rapid GPU-Assisted Search and Parameterization-Based Refinement and Continuation of Connections between Tori in Periodically Perturbed Planar Circular Restricted 3-Body Problems

Rodney L. Anderson, Rafael de la Llave, Bhanu Kumar, 2021, 2109.14814.