Rafael de la Llave
Georgia Institute of Technology
H-index: 43
North America-United States
Top articles of Rafael de la Llave
Title | Journal | Author(s) | Publication Date |
---|---|---|---|
Accurate Computations up to Breakdown of Quasi-Periodic Attractors in the Dissipative Spin–Orbit Problem | Journal of Nonlinear Science | Renato Calleja Alessandra Celletti Joan Gimeno Rafael de la Llave | 2024/2 |
Transfers between Jupiter–Ganymede and Jupiter–Europa resonant tori in a concentric circular restricted 4-body model | Acta Astronautica | Bhanu Kumar Rodney L Anderson Rafael de la Llave | 2023/10/1 |
A Simple Proof of Gevrey Estimates for Expansions of Quasi-Periodic Orbits: Dissipative Models and Lower-Dimensional Tori | Regular and Chaotic Dynamics | Adrián P Bustamante Rafael de la Llave | 2023/10 |
4th Body-Induced Secondary Resonance Overlapping Inside Unstable Resonant Orbit Families: a Jupiter-Ganymede 4: 3+ Europa Case Study | arXiv preprint arXiv:2309.06073 | Bhanu Kumar Rodney L Anderson Rafael de la Llave | 2023/9/12 |
Resonances and phase locking phenomena for foliation preserving torus maps | SIAM Journal on Applied Dynamical Systems | Xiaolong He Rafael de la Llave | 2023/3/31 |
Europa-induced Overlapping of Secondary Resonances in the 4: 3 Jupiter-Ganymede Unstable Resonant Orbit Family | Bhanu Kumar Rodney L Anderson Rafael de la Llave | 2023 | |
Melnikov method for non-conservative perturbations of the restricted three-body problem | Celestial Mechanics and Dynamical Astronomy | Marian Gidea Rafael de la Llave Maxwell Musser | 2022/2 |
KAM quasi-periodic solutions for the dissipative standard map | Communications in Nonlinear Science and Numerical Simulation | Renato C Calleja Alessandra Celletti Rafael de la Llave | 2022/3/1 |
Persistence and smooth dependence on parameters of periodic orbits in functional differential equations close to an ODE or an evolutionary PDE | Journal of Differential Equations | Jiaqi Yang Joan Gimeno Rafael de la Llave | 2022/11/25 |
KAM quasi-periodic tori for the dissipative spin–orbit problem | Communications in Nonlinear Science and Numerical Simulation | Renato Calleja Alessandra Celletti Joan Gimeno Rafael de la Llave | 2022/3/1 |
Efficient and reliable algorithms for the computation of non-twist invariant circles | Foundations of Computational Mathematics | Alejandra González Àlex Haro Rafael de la Llave | 2022/6 |
Convergence of the Birkhoff normal form sometimes implies convergence of a normalizing transformation | Ergodic Theory and Dynamical Systems | Rafael De la Llave Maria Saprykina | 2022/3 |
Nonconmutative coboundary equations over integrable systems | arXiv preprint arXiv:2205.12356 | Rafael de la Llave Maria Saprykina | 2022/5/24 |
Rapid and accurate methods for computing whiskered tori and their manifolds in periodically perturbed planar circular restricted 3-body problems | Celestial Mechanics and Dynamical Astronomy | Bhanu Kumar Rodney L Anderson Rafael de la Llave | 2022/2 |
The existence of solutions for nonlinear elliptic equations: Simple proofs and extensions of a paper by Y. Shi | Journal of Differential Equations | Xiaodan Xu Rafael de la Llave Fenfen Wang | 2022/5/5 |
Efficient and accurate KAM tori construction for the dissipative spin–orbit problem using a map reduction | Journal of Nonlinear Science | Renato Calleja Alessandra Celletti Joan Gimeno Rafael de la Llave | 2022/2 |
Analytic genericity of diffusing orbits in a priori unstable Hamiltonian systems | Nonlinearity | Qinbo Chen Rafael de la Llave | 2022/3/9 |
Using GPUs and the parameterization method for rapid search and refinement of connections between tori in periodically perturbed planar circular restricted 3-body problems | arXiv preprint arXiv | Bhanu Kumar Rodney L Anderson Rafael de la Llave | 2021/1/31 |
Investigations of Relations Between Jupiter-Europa and Jupiter-Ganymede Resonant Tori in the Planar Bicircular Restricted 4-Body Problem | Rafael de la Llave Brian Gunter Rodney L Anderson Bhanu Kumar | 2021/8/9 | |
Computing the Invariant Circle and the Foliation by Stable Manifolds for a 2-D Map by the Parameterization Method: Numerical Implementation and Results | arXiv preprint arXiv:2110.15893 | Yian Yao Rafael De La Llave | 2021/10/29 |