Rafael de la Llave

39 papers Journal 39

Year	Rank	Type	Title / Venue / Authors
2026	J	`jnl`	Simultaneous Computation of Whiskered Tori and Their Whiskers in Hamiltonian Systems Using Flow Maps. J. Nonlinear Sci. Álvaro Fernández-Mora, Àlex Haro, Rafael de la Llave, Josep-Maria Mondelo
2025	J	`jnl`	Rapid GPU-Assisted Search and Parameterization-Based Refinement and Continuation of Connections between Tori in Periodically Perturbed Planar Circular Restricted 3-Body Problems. SIAM J. Appl. Dyn. Syst. Bhanu Kumar, Rodney L. Anderson, Rafael de la Llave
2024	J	`jnl`	Accurate Computations up to Breakdown of Quasi-Periodic Attractors in the Dissipative Spin-Orbit Problem. J. Nonlinear Sci. Renato C. Calleja, Alessandra Celletti, Joan Gimeno, Rafael de la Llave
2023	J	`jnl`	Resonances and Phase Locking Phenomena for Foliation Preserving Torus Maps. SIAM J. Appl. Dyn. Syst. Xiaolong He, Rafael de la Llave
2022	J	`jnl`	Accurate computations up to break-down of quasi-periodic attractors in the dissipative spin-orbit problem. CoRR Renato C. Calleja, Alessandra Celletti, Joan Gimeno, Rafael de la Llave
2022	J	`jnl`	Efficient and Accurate KAM Tori Construction for the Dissipative Spin-Orbit Problem Using a Map Reduction. J. Nonlinear Sci. Renato C. Calleja, Alessandra Celletti, Joan Gimeno, Rafael de la Llave
2022	J	`jnl`	Efficient and Reliable Algorithms for the Computation of Non-Twist Invariant Circles. Found. Comput. Math. Alejandra González, Àlex Haro, Rafael de la Llave
2022	J	`jnl`	KAM quasi-periodic solutions for the dissipative standard map. Commun. Nonlinear Sci. Numer. Simul. Renato C. Calleja, Alessandra Celletti, Rafael de la Llave
2022	J	`jnl`	KAM quasi-periodic tori for the dissipative spin-orbit problem. Commun. Nonlinear Sci. Numer. Simul. Renato C. Calleja, Alessandra Celletti, Joan Gimeno, Rafael de la Llave
2021	J	`jnl`	Computing the Invariant Circle and the Foliation by Stable Manifolds for a 2-D Map by the Parameterization Method: Numerical Implementation and Results. CoRR Yian Yao, Rafael de la Llave
2021	J	`jnl`	Efficient and accurate KAM tori construction for the dissipative spin-orbit problem using a map reduction. CoRR Renato C. Calleja, Alessandra Celletti, Joan Gimeno, Rafael de la Llave
2021	J	`jnl`	High-order resonant orbit manifold expansions for mission design in the planar circular restricted 3-body problem. Commun. Nonlinear Sci. Numer. Simul. Bhanu Kumar, Rodney L. Anderson, Rafael de la Llave
2021	J	`jnl`	KAM quasi-periodic tori for the dissipative spin-orbit problem. CoRR Renato C. Calleja, Alessandra Celletti, Joan Gimeno, Rafael de la Llave
2021	J	`jnl`	Numerical Computation of Periodic Orbits and Isochrons for State-Dependent Delay Perturbation of an ODE in the Plane. SIAM J. Appl. Dyn. Syst. Joan Gimeno, Jiaqi Yang, Rafael de la Llave
2021	J	`jnl`	Parameterization Method for State-Dependent Delay Perturbation of an Ordinary Differential Equation. SIAM J. Math. Anal. Jiaqi Yang, Joan Gimeno, Rafael de la Llave
2020	J	`jnl`	Numerical computation of periodic orbits and isochrons for state-dependent delay perturbation of an ODE in the plane. CoRR Joan Gimeno, Jiaqi Yang, Rafael de la Llave
2020	J	`jnl`	Response Solutions to Quasi-Periodically Forced Systems, Even to Possibly Ill-Posed PDEs, with Strong Dissipation and any Frequency Vectors. SIAM J. Math. Anal. Fenfen Wang, Rafael de la Llave
2019	J	`jnl`	Global Persistence of Lyapunov Subcenter Manifolds as Spectral Submanifolds under Dissipative Perturbations. SIAM J. Appl. Dyn. Syst. Rafael de la Llave, Florian Kogelbauer
2018	J	`jnl`	Global Melnikov Theory in Hamiltonian Systems with General Time-Dependent Perturbations. J. Nonlinear Sci. Marian Gidea, Rafael de la Llave
2018	J	`jnl`	Transition state theory with quasi-periodic forcing. Commun. Nonlinear Sci. Numer. Simul. Lei Zhang, Rafael de la Llave
2017	J	`jnl`	A Framework for the Numerical Computation and A Posteriori Verification of Invariant Objects of Evolution Equations. SIAM J. Appl. Dyn. Syst. Jordi-Lluís Figueras, Marcio Gameiro, Jean-Philippe Lessard, Rafael de la Llave
2017	J	`jnl`	Numerical Computations and Computer Assisted Proofs of Periodic Orbits of the Kuramoto-Sivashinsky Equation. SIAM J. Appl. Dyn. Syst. Jordi-Lluís Figueras, Rafael de la Llave
2017	J	`jnl`	On the Global Dynamics of an Electroencephalographic Mean Field Model of the Neocortex. SIAM J. Appl. Dyn. Syst. Farshad Shirani, Wassim M. Haddad, Rafael de la Llave
2017	J	`jnl`	Resonant Equilibrium Configurations in Quasi-Periodic Media: KAM Theory. SIAM J. Math. Anal. Rafael de la Llave, Xifeng Su, Lei Zhang
2017	J	`jnl`	Response Solutions for Quasi-Periodically Forced, Dissipative Wave Equations. SIAM J. Math. Anal. Renato C. Calleja, Alessandra Celletti, Livia Corsi, Rafael de la Llave
2016	J	`jnl`	Connecting Orbits for Compact Infinite Dimensional Maps: Computer Assisted Proofs of Existence. SIAM J. Appl. Dyn. Syst. Rafael de la Llave, Jason D. Mireles-James
2015	J	`jnl`	Computing Some Integrals by Computing Derivatives. Am. Math. Mon. Rafael de la Llave
2014	J	`jnl`	An Extension of Greene's Criterion for Conformally Symplectic Systems and a Partial Justification. SIAM J. Math. Anal. Renato C. Calleja, Alessandra Celletti, Corrado Falcolini, Rafael de la Llave
2013	J	`jnl`	Computation of Limit Cycles and Their Isochrons: Fast Algorithms and Their Convergence. SIAM J. Appl. Dyn. Syst. Gemma Huguet, Rafael de la Llave
2012	J	`jnl`	Invariant Manifolds for Analytic Difference Equations. SIAM J. Appl. Dyn. Syst. Rafael de la Llave, Héctor E. Lomelí
2012	J	`jnl`	KAM Theory for Quasi-periodic Equilibria in One-Dimensional Quasi-periodic Media. SIAM J. Math. Anal. Xifeng Su, Rafael de la Llave
2011	J	`jnl`	Perturbation and numerical methods for computing the minimal average energy. Networks Heterog. Media Timothy Blass, Rafael de la Llave
2010	J	`jnl`	Ground States and Critical Points for Aubry-Mather Theory in Statistical Mechanics. J. Nonlinear Sci. Rafael de la Llave, Enrico Valdinoci
2007	J	`jnl`	A Computer-Assisted Study of Global Dynamic Transitions for a Noninvertible System. Int. J. Bifurc. Chaos Raymond A. Adomaitis, Ioannis G. Kevrekidis, Rafael de la Llave
2007	J	`jnl`	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. Àlex Haro, Rafael de la Llave
2004	J	`jnl`	On Squirt Singularities in Hydrodynamics. SIAM J. Math. Anal. Diego Córdoba, Charles Fefferman, Rafael de la Llave
2002	J	`jnl`	Regularity of Conjugacies between Critical Circle Maps: An Experimental Study. Exp. Math. Rafael de la Llave, Nikola P. Petrov
2000	J	`jnl`	KAM Theory and a Partial Justification of Greene's Criterion for Nontwist Maps. SIAM J. Math. Anal. Amadeu Delshams, Rafael de la Llave
1992	J	`jnl`	About This Journal. Exp. Math. David B. A. Epstein, Silvio Levy, Rafael de la Llave