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Rafael de la Llave
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- affiliation: Georgia Institute of Technology, Atlanta, USA
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2020 – today
- 2024
- [j32]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): 12 (2024) - 2023
- [j31]Xiaolong He
Resonances and Phase Locking Phenomena for Foliation Preserving Torus Maps. SIAM J. Appl. Dyn. Syst. 22(1): 382-418 (2023) - 2022
- [j30]Renato C. Calleja, Alessandra Celletti, Joan Gimeno
KAM quasi-periodic tori for the dissipative spin-orbit problem. Commun. Nonlinear Sci. Numer. Simul. 106: 106099 (2022) - [j29]Renato C. Calleja, Alessandra Celletti
KAM quasi-periodic solutions for the dissipative standard map. Commun. Nonlinear Sci. Numer. Simul. 106: 106111 (2022) - [j28]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): 791-847 (2022) - [j27]Renato C. Calleja, Alessandra Celletti, Joan Gimeno
Efficient and Accurate KAM Tori Construction for the Dissipative Spin-Orbit Problem Using a Map Reduction. J. Nonlinear Sci. 32(1): 4 (2022) - [i5]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 abs/2210.05796 (2022) - 2021
- [j26]Bhanu Kumar
High-order resonant orbit manifold expansions for mission design in the planar circular restricted 3-body problem. Commun. Nonlinear Sci. Numer. Simul. 97: 105691 (2021) - [j25]Joan Gimeno
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): 1514-1543 (2021) - [j24]Jiaqi Yang
Parameterization Method for State-Dependent Delay Perturbation of an Ordinary Differential Equation. SIAM J. Math. Anal. 53(4): 4031-4067 (2021) - [i4]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 abs/2106.09175 (2021) - [i3]Renato C. Calleja, Alessandra Celletti, Joan Gimeno, Rafael de la Llave:
KAM quasi-periodic tori for the dissipative spin-orbit problem. CoRR abs/2107.02853 (2021) - [i2]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 abs/2110.15893 (2021) - 2020
- [j23]Fenfen Wang
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): 3149-3191 (2020) - [i1]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 abs/2005.06086 (2020)
2010 – 2019
- 2019
- [j22]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): 2099-2142 (2019) - 2018
- [j21]Lei Zhang
Transition state theory with quasi-periodic forcing. Commun. Nonlinear Sci. Numer. Simul. 62: 229-243 (2018) - [j20]Marian Gidea
Global Melnikov Theory in Hamiltonian Systems with General Time-Dependent Perturbations. J. Nonlinear Sci. 28(5): 1657-1707 (2018) - 2017
- [j19]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): 834-852 (2017) - [j18]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): 1070-1088 (2017) - [j17]Farshad Shirani
On the Global Dynamics of an Electroencephalographic Mean Field Model of the Neocortex. SIAM J. Appl. Dyn. Syst. 16(4): 1969-2029 (2017) - [j16]Rafael de la Llave, Xifeng Su, Lei Zhang:
Resonant Equilibrium Configurations in Quasi-Periodic Media: KAM Theory. SIAM J. Math. Anal. 49(1): 597-625 (2017) - [j15]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): 3161-3207 (2017) - 2016
- [j14]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): 1268-1323 (2016) - 2015
- [j13]Rafael de la Llave:
Computing Some Integrals by Computing Derivatives. Am. Math. Mon. 122(9): 888-889 (2015) - 2014
- [j12]Renato C. Calleja
An Extension of Greene's Criterion for Conformally Symplectic Systems and a Partial Justification. SIAM J. Math. Anal. 46(4): 2350-2384 (2014) - 2013
- [j11]Gemma Huguet
Computation of Limit Cycles and Their Isochrons: Fast Algorithms and Their Convergence. SIAM J. Appl. Dyn. Syst. 12(4): 1763-1802 (2013) - 2012
- [j10]Rafael de la Llave, Héctor E. Lomelí:
Invariant Manifolds for Analytic Difference Equations. SIAM J. Appl. Dyn. Syst. 11(4): 1614-1651 (2012) - [j9]Xifeng Su, Rafael de la Llave:
KAM Theory for Quasi-periodic Equilibria in One-Dimensional Quasi-periodic Media. SIAM J. Math. Anal. 44(6): 3901-3927 (2012) - 2011
- [j8]Timothy Blass, Rafael de la Llave:
Perturbation and numerical methods for computing the minimal average energy. Networks Heterog. Media 6(2): 241-255 (2011) - 2010
- [j7]Rafael de la Llave, Enrico Valdinoci
Ground States and Critical Points for Aubry-Mather Theory in Statistical Mechanics. J. Nonlinear Sci. 20(2): 153-218 (2010)
2000 – 2009
- 2007
- [j6]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): 1305-1321 (2007) - [j5]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): 142-207 (2007) - 2004
- [j4]Diego Córdoba
On Squirt Singularities in Hydrodynamics. SIAM J. Math. Anal. 36(1): 204-213 (2004) - 2002
- [j3]Rafael de la Llave, Nikola P. Petrov:
Regularity of Conjugacies between Critical Circle Maps: An Experimental Study. Exp. Math. 11(2): 219-241 (2002) - 2000
- [j2]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): 1235-1269 (2000)
1990 – 1999
- 1992
- [j1]David B. A. Epstein, Silvio Levy, Rafael de la Llave:
About This Journal. Exp. Math. 1(1): 1-3 (1992)
Coauthor Index
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