| A KAM theory for conformally symplectic systems: efficient algorithms and their validation RC Calleja, A Celletti, R De la Llave Journal of Differential Equations 255 (5), 978-1049, 2013 | 128 | 2013 |
| A numerically accessible criterion for the breakdown of quasi-periodic solutions and its rigorous justification R Calleja, R De la Llave Nonlinearity 23 (9), 2029, 2010 | 76 | 2010 |
| Fast numerical computation of quasi-periodic equilibrium states in 1D statistical mechanics, including twist maps R Calleja, R De la Llave Nonlinearity 22 (6), 1311, 2009 | 58 | 2009 |
| Boundary-value problem formulations for computing invariant manifolds and connecting orbits in the circular restricted three body problem RC Calleja, EJ Doedel, AR Humphries, A Lemus-Rodríguez, EB Oldeman Celestial Mechanics and Dynamical Astronomy 114, 77-106, 2012 | 54 | 2012 |
| Collision of invariant bundles of quasi-periodic attractors in the dissipative standard map R Calleja, JL Figueras Chaos: An Interdisciplinary Journal of Nonlinear Science 22 (3), 2012 | 49 | 2012 |
| Resonance phenomena in a scalar delay differential equation with two state-dependent delays RC Calleja, AR Humphries, B Krauskopf SIAM Journal on Applied Dynamical Systems 16 (3), 1474-1513, 2017 | 47 | 2017 |
| Breakdown of invariant attractors for the dissipative standard map R Calleja, A Celletti Chaos: An Interdisciplinary Journal of Nonlinear Science 20 (1), 2010 | 45 | 2010 |
| Computation of the breakdown of analyticity in statistical mechanics models: numerical results and a renormalization group explanation R Calleja, R Llave Journal of Statistical Physics 141 (6), 940, 2010 | 28* | 2010 |
| Local behavior near quasi-periodic solutions of conformally symplectic systems RC Calleja, A Celletti, R de la Llave Journal of Dynamics and Differential Equations 25 (3), 821-841, 2013 | 27 | 2013 |
| Construction of response functions in forced strongly dissipative systems RC Calleja, A Celletti, R de la Llave Discrete and Continuous Dynamical Systems. Series A 33 (10), 4411--4433, 2013 | 23 | 2013 |
| Choreographies in the n-vortex Problem RC Calleja, EJ Doedel, C García-Azpeitia Regular and Chaotic Dynamics 23, 595-612, 2018 | 19 | 2018 |
| Response solutions for quasi-periodically forced, dissipative wave equations RC Calleja, A Celletti, L Corsi, R De La Llave SIAM Journal on Mathematical Analysis 49 (4), 3161-3207, 2017 | 19 | 2017 |
| KAM quasi-periodic tori for the dissipative spin–orbit problem R Calleja, A Celletti, J Gimeno, R de la Llave Communications in Nonlinear Science and Numerical Simulation 106, 106099, 2022 | 18 | 2022 |
| Computation of domains of analyticity for the dissipative standard map in the limit of small dissipation AP Bustamante, RC Calleja Physica D: Nonlinear Phenomena 395, 15-23, 2019 | 18 | 2019 |
| Domains of analyticity and Lindstedt expansions of KAM tori in some dissipative perturbations of Hamiltonian systems RC Calleja, A Celletti, R De la Llave Nonlinearity 30 (8), 3151, 2017 | 17 | 2017 |
| Heteroclinic bifurcations and chaotic transport in the two-harmonic standard map HE Lomelí, R Calleja Chaos: An Interdisciplinary Journal of Nonlinear Science 16 (2), 2006 | 17 | 2006 |
| Periodic solutions of a singularly perturbed delay differential equation with two state-dependent delays AR Humphries, DA Bernucci, RC Calleja, N Homayounfar, M Snarski Journal of Dynamics and Differential Equations 28, 1215-1263, 2016 | 15 | 2016 |
| KAM quasi-periodic solutions for the dissipative standard map RC Calleja, A Celletti, R de la Llave Communications in Nonlinear Science and Numerical Simulation 106, 106111, 2022 | 14* | 2022 |
| Torus knot choreographies in the -body problem R Calleja, C García-Azpeitia, JP Lessard, JD James Nonlinearity 34.1 (2021): 313. 34 (1), 313–349, 2021 | 13 | 2021 |
| Symmetries and choreographies in families bifurcating from the polygonal relative equilibrium of the n-body problem R Calleja, E Doedel, C García-Azpeitia Celestial Mech. Dynam. Astronom. 130 (7), 130:48, 2017 | 13 | 2017 |
Rafael de la LlaveProfessor of Mathematics, Georgia Institute of TechnologyVerified email at math.gatech.edu