Rafael de la Llave

Rafael de la Llave

Georgia Institute of Technology

H-index: 43

North America-United States

About Rafael de la Llave

Rafael de la Llave, With an exceptional h-index of 43 and a recent h-index of 23 (since 2020), a distinguished researcher at Georgia Institute of Technology, specializes in the field of Mathematics, Dynamical Systems, Mathematical Physics.

His recent articles reflect a diverse array of research interests and contributions to the field:

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

Transfers between Jupiter–Ganymede and Jupiter–Europa resonant tori in a concentric circular restricted 4-body model

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

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

Resonances and phase locking phenomena for foliation preserving torus maps

Europa-induced Overlapping of Secondary Resonances in the 4: 3 Jupiter-Ganymede Unstable Resonant Orbit Family

Melnikov method for non-conservative perturbations of the restricted three-body problem

KAM quasi-periodic solutions for the dissipative standard map

Rafael de la Llave Information

University

Position

Professor of Mathematics

Citations(all)

7085

Citations(since 2020)

2373

Cited By

5745

hIndex(all)

43

hIndex(since 2020)

23

i10Index(all)

129

i10Index(since 2020)

65

Email

University Profile Page

Georgia Institute of Technology

Google Scholar

View Google Scholar Profile

Rafael de la Llave Skills & Research Interests

Mathematics

Dynamical Systems

Mathematical Physics

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

See List of Professors in Rafael de la Llave University(Georgia Institute of Technology)

Co-Authors

H-index: 38
Xavier Cabre

Xavier Cabre

Universidad Politécnica de Cataluña

H-index: 36
Clarence Eugene Wayne

Clarence Eugene Wayne

Boston University

H-index: 34
Angel Jorba

Angel Jorba

Universidad de Barcelona

H-index: 30
yannick sire

yannick sire

Johns Hopkins University

H-index: 30
Alessandra Celletti

Alessandra Celletti

Università degli Studi di Roma Tor Vergata

H-index: 29
Amadeu Delshams

Amadeu Delshams

Universidad Politécnica de Cataluña

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