Rafael de la Llave

According to our database, Rafael de la Llave authored at least 34 papers between 1992 and 2024.

Collaborative distances:

• Dijkstra number of four.
• Erdős number of four.

2024

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

Renato C. Calleja, Alessandra Celletti, Joan Gimeno, Rafael de la Llave

J. Nonlinear Sci., February, 2024

2023

Resonances and Phase Locking Phenomena for Foliation Preserving Torus Maps.

Xiaolong He, Rafael de la Llave

SIAM J. Appl. Dyn. Syst., March, 2023

2022

Efficient and Accurate KAM Tori Construction for the Dissipative Spin-Orbit Problem Using a Map Reduction.

Renato C. Calleja, Alessandra Celletti, Joan Gimeno, Rafael de la Llave

J. Nonlinear Sci., 2022

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

Alejandra González, Àlex Haro, Rafael de la Llave

Found. Comput. Math., 2022

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

Renato C. Calleja, Alessandra Celletti, Joan Gimeno, Rafael de la Llave

CoRR, 2022

KAM quasi-periodic solutions for the dissipative standard map.

Renato C. Calleja, Alessandra Celletti, Rafael de la Llave

Commun. Nonlinear Sci. Numer. Simul., 2022

KAM quasi-periodic tori for the dissipative spin-orbit problem.

Renato C. Calleja, Alessandra Celletti, Joan Gimeno, Rafael de la Llave

Commun. Nonlinear Sci. Numer. Simul., 2022

2021

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

Jiaqi Yang, Joan Gimeno, Rafael de la Llave

SIAM J. Math. Anal., 2021

Numerical Computation of Periodic Orbits and Isochrons for State-Dependent Delay Perturbation of an ODE in the Plane.

Joan Gimeno, Jiaqi Yang, Rafael de la Llave

SIAM J. Appl. Dyn. Syst., 2021

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

Yian Yao, Rafael de la Llave

CoRR, 2021

High-order resonant orbit manifold expansions for mission design in the planar circular restricted 3-body problem.

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

Commun. Nonlinear Sci. Numer. Simul., 2021

2020

Response Solutions to Quasi-Periodically Forced Systems, Even to Possibly Ill-Posed PDEs, with Strong Dissipation and any Frequency Vectors.

Fenfen Wang, Rafael de la Llave

SIAM J. Math. Anal., 2020

2019

Global Persistence of Lyapunov Subcenter Manifolds as Spectral Submanifolds under Dissipative Perturbations.

Rafael de la Llave, Florian Kogelbauer

SIAM J. Appl. Dyn. Syst., 2019

2018

Global Melnikov Theory in Hamiltonian Systems with General Time-Dependent Perturbations.

Marian Gidea, Rafael de la Llave

J. Nonlinear Sci., 2018

Transition state theory with quasi-periodic forcing.

Lei Zhang, Rafael de la Llave

Commun. Nonlinear Sci. Numer. Simul., 2018

2017

Resonant Equilibrium Configurations in Quasi-Periodic Media: KAM Theory.

Rafael de la Llave, Xifeng Su, Lei Zhang

SIAM J. Math. Anal., 2017

Response Solutions for Quasi-Periodically Forced, Dissipative Wave Equations.

Renato C. Calleja, Alessandra Celletti, Livia Corsi, Rafael de la Llave

SIAM J. Math. Anal., 2017

On the Global Dynamics of an Electroencephalographic Mean Field Model of the Neocortex.

Farshad Shirani, Wassim M. Haddad, Rafael de la Llave

SIAM J. Appl. Dyn. Syst., 2017

Numerical Computations and Computer Assisted Proofs of Periodic Orbits of the Kuramoto-Sivashinsky Equation.

Jordi-Lluís Figueras, Rafael de la Llave

SIAM J. Appl. Dyn. Syst., 2017

A Framework for the Numerical Computation and A Posteriori Verification of Invariant Objects of Evolution Equations.

Jordi-Lluís Figueras, Marcio Gameiro, Jean-Philippe Lessard, Rafael de la Llave

SIAM J. Appl. Dyn. Syst., 2017

2016

Connecting Orbits for Compact Infinite Dimensional Maps: Computer Assisted Proofs of Existence.

Rafael de la Llave, Jason D. Mireles-James

SIAM J. Appl. Dyn. Syst., 2016

2015

Computing Some Integrals by Computing Derivatives.

Rafael de la Llave

Am. Math. Mon., 2015

2014

An Extension of Greene's Criterion for Conformally Symplectic Systems and a Partial Justification.

Renato C. Calleja, Alessandra Celletti, Corrado Falcolini, Rafael de la Llave

SIAM J. Math. Anal., 2014

2013

Computation of Limit Cycles and Their Isochrons: Fast Algorithms and Their Convergence.

Gemma Huguet, Rafael de la Llave

SIAM J. Appl. Dyn. Syst., 2013

2012

KAM Theory for Quasi-periodic Equilibria in One-Dimensional Quasi-periodic Media.

Xifeng Su, Rafael de la Llave

SIAM J. Math. Anal., 2012

Invariant Manifolds for Analytic Difference Equations.

Rafael de la Llave, Héctor E. Lomelí

SIAM J. Appl. Dyn. Syst., 2012

2011

Perturbation and numerical methods for computing the minimal average energy.

Timothy Blass, Rafael de la Llave

Networks Heterog. Media, 2011

2010

Ground States and Critical Points for Aubry-Mather Theory in Statistical Mechanics.

Rafael de la Llave, Enrico Valdinoci

J. Nonlinear Sci., 2010

2007

A Parameterization Method for the Computation of Invariant Tori and Their Whiskers in Quasi-Periodic Maps: Explorations and Mechanisms for the Breakdown of Hyperbolicity.

Àlex Haro, Rafael de la Llave

SIAM J. Appl. Dyn. Syst., 2007

A Computer-Assisted Study of Global Dynamic Transitions for a Noninvertible System.

Raymond A. Adomaitis, Ioannis G. Kevrekidis, Rafael de la Llave

Int. J. Bifurc. Chaos, 2007

2004

On Squirt Singularities in Hydrodynamics.

Diego Córdoba, Charles Fefferman, Rafael de la Llave

SIAM J. Math. Anal., 2004

2002

Regularity of Conjugacies between Critical Circle Maps: An Experimental Study.

Rafael de la Llave, Nikola P. Petrov

Exp. Math., 2002

2000

KAM Theory and a Partial Justification of Greene's Criterion for Nontwist Maps.

Amadeu Delshams, Rafael de la Llave

SIAM J. Math. Anal., 2000

1992

About This Journal.

David B. A. Epstein, Silvio Levy, Rafael de la Llave

Exp. Math., 1992