Rafael de la Llave

Publication Activity (10 Years)

Years Active: 1992-2024
Publications (10 Years): 25

Top Topics

Computationally Expensive

Neighborhood Preserving

Infinite Dimensional

Top Venues

SIAM J. Appl. Dyn. Syst.

SIAM J. Math. Anal.

Commun. Nonlinear Sci. Numer. Simul.

Publications

Renato C. Calleja, Alessandra Celletti, Joan Gimeno, Rafael de la Llave
Accurate Computations up to Breakdown of Quasi-Periodic Attractors in the Dissipative Spin-Orbit Problem. J. Nonlinear Sci. 34 (1) (2024)
Xiaolong He, Rafael de la Llave
Resonances and Phase Locking Phenomena for Foliation Preserving Torus Maps. SIAM J. Appl. Dyn. Syst. 22 (1) (2023)
Renato C. Calleja, Alessandra Celletti, Joan Gimeno, Rafael de la Llave
KAM quasi-periodic tori for the dissipative spin-orbit problem. Commun. Nonlinear Sci. Numer. Simul. 106 (2022)
Renato C. Calleja, Alessandra Celletti, Joan Gimeno, Rafael de la Llave
Efficient and Accurate KAM Tori Construction for the Dissipative Spin-Orbit Problem Using a Map Reduction. J. Nonlinear Sci. 32 (1) (2022)
Alejandra González, Àlex Haro, Rafael de la Llave
Efficient and Reliable Algorithms for the Computation of Non-Twist Invariant Circles. Found. Comput. Math. 22 (3) (2022)
Renato C. Calleja, Alessandra Celletti, Rafael de la Llave
KAM quasi-periodic solutions for the dissipative standard map. Commun. Nonlinear Sci. Numer. Simul. 106 (2022)
Renato C. Calleja, Alessandra Celletti, Joan Gimeno, Rafael de la Llave
Accurate computations up to break-down of quasi-periodic attractors in the dissipative spin-orbit problem. CoRR (2022)
Bhanu Kumar, Rodney L. Anderson, Rafael de la Llave
High-order resonant orbit manifold expansions for mission design in the planar circular restricted 3-body problem. Commun. Nonlinear Sci. Numer. Simul. 97 (2021)
Jiaqi Yang, Joan Gimeno, Rafael de la Llave
Parameterization Method for State-Dependent Delay Perturbation of an Ordinary Differential Equation. SIAM J. Math. Anal. 53 (4) (2021)
Renato C. Calleja, Alessandra Celletti, Joan Gimeno, Rafael de la Llave
KAM quasi-periodic tori for the dissipative spin-orbit problem. CoRR (2021)
Renato C. Calleja, Alessandra Celletti, Joan Gimeno, Rafael de la Llave
Efficient and accurate KAM tori construction for the dissipative spin-orbit problem using a map reduction. CoRR (2021)
Yian Yao, Rafael de la Llave
Computing the Invariant Circle and the Foliation by Stable Manifolds for a 2-D Map by the Parameterization Method: Numerical Implementation and Results. CoRR (2021)
Joan Gimeno, Jiaqi Yang, Rafael de la Llave
Numerical Computation of Periodic Orbits and Isochrons for State-Dependent Delay Perturbation of an ODE in the Plane. SIAM J. Appl. Dyn. Syst. 20 (3) (2021)
Fenfen Wang, Rafael de la Llave
Response Solutions to Quasi-Periodically Forced Systems, Even to Possibly Ill-Posed PDEs, with Strong Dissipation and any Frequency Vectors. SIAM J. Math. Anal. 52 (4) (2020)
Joan Gimeno, Jiaqi Yang, Rafael de la Llave
Numerical computation of periodic orbits and isochrons for state-dependent delay perturbation of an ODE in the plane. CoRR (2020)
Rafael de la Llave, Florian Kogelbauer
Global Persistence of Lyapunov Subcenter Manifolds as Spectral Submanifolds under Dissipative Perturbations. SIAM J. Appl. Dyn. Syst. 18 (4) (2019)
Lei Zhang, Rafael de la Llave
Transition state theory with quasi-periodic forcing. Commun. Nonlinear Sci. Numer. Simul. 62 (2018)
Marian Gidea, Rafael de la Llave
Global Melnikov Theory in Hamiltonian Systems with General Time-Dependent Perturbations. J. Nonlinear Sci. 28 (5) (2018)
Jordi-Lluís Figueras, Marcio Gameiro, Jean-Philippe Lessard, Rafael de la Llave
A Framework for the Numerical Computation and A Posteriori Verification of Invariant Objects of Evolution Equations. SIAM J. Appl. Dyn. Syst. 16 (2) (2017)
Farshad Shirani, Wassim M. Haddad, Rafael de la Llave
On the Global Dynamics of an Electroencephalographic Mean Field Model of the Neocortex. SIAM J. Appl. Dyn. Syst. 16 (4) (2017)
Jordi-Lluís Figueras, Rafael de la Llave
Numerical Computations and Computer Assisted Proofs of Periodic Orbits of the Kuramoto-Sivashinsky Equation. SIAM J. Appl. Dyn. Syst. 16 (2) (2017)
Rafael de la Llave, Xifeng Su, Lei Zhang
Resonant Equilibrium Configurations in Quasi-Periodic Media: KAM Theory. SIAM J. Math. Anal. 49 (1) (2017)
Renato C. Calleja, Alessandra Celletti, Livia Corsi, Rafael de la Llave
Response Solutions for Quasi-Periodically Forced, Dissipative Wave Equations. SIAM J. Math. Anal. 49 (4) (2017)
Rafael de la Llave, Jason D. Mireles-James
Connecting Orbits for Compact Infinite Dimensional Maps: Computer Assisted Proofs of Existence. SIAM J. Appl. Dyn. Syst. 15 (2) (2016)
Rafael de la Llave
Computing Some Integrals by Computing Derivatives. Am. Math. Mon. 122 (9) (2015)
Renato C. Calleja, Alessandra Celletti, Corrado Falcolini, Rafael de la Llave
An Extension of Greene's Criterion for Conformally Symplectic Systems and a Partial Justification. SIAM J. Math. Anal. 46 (4) (2014)
Gemma Huguet, Rafael de la Llave
Computation of Limit Cycles and Their Isochrons: Fast Algorithms and Their Convergence. SIAM J. Appl. Dyn. Syst. 12 (4) (2013)
Xifeng Su, Rafael de la Llave
KAM Theory for Quasi-periodic Equilibria in One-Dimensional Quasi-periodic Media. SIAM J. Math. Anal. 44 (6) (2012)
Rafael de la Llave, Héctor E. Lomelí
Invariant Manifolds for Analytic Difference Equations. SIAM J. Appl. Dyn. Syst. 11 (4) (2012)
Timothy Blass, Rafael de la Llave
Perturbation and numerical methods for computing the minimal average energy. Networks Heterog. Media 6 (2) (2011)
Rafael de la Llave, Enrico Valdinoci
Ground States and Critical Points for Aubry-Mather Theory in Statistical Mechanics. J. Nonlinear Sci. 20 (2) (2010)
Raymond A. Adomaitis, Ioannis G. Kevrekidis, Rafael de la Llave
A Computer-Assisted Study of Global Dynamic Transitions for a Noninvertible System. Int. J. Bifurc. Chaos 17 (4) (2007)
Àlex Haro, Rafael de la Llave
A Parameterization Method for the Computation of Invariant Tori and Their Whiskers in Quasi-Periodic Maps: Explorations and Mechanisms for the Breakdown of Hyperbolicity. SIAM J. Appl. Dyn. Syst. 6 (1) (2007)
Diego Córdoba, Charles Fefferman, Rafael de la Llave
On Squirt Singularities in Hydrodynamics. SIAM J. Math. Anal. 36 (1) (2004)
Rafael de la Llave, Nikola P. Petrov
Regularity of Conjugacies between Critical Circle Maps: An Experimental Study. Exp. Math. 11 (2) (2002)
Amadeu Delshams, Rafael de la Llave
KAM Theory and a Partial Justification of Greene's Criterion for Nontwist Maps. SIAM J. Math. Anal. 31 (6) (2000)
David B. A. Epstein, Silvio Levy, Rafael de la Llave
About This Journal. Exp. Math. 1 (1) (1992)