| Poincaré-Melnikov-Arnold method for analytic planar maps A Delshams, R Ramírez-Ros Nonlinearity 9 (1), 1, 1996 | 83 | 1996 |
| Melnikov potential for exact symplectic maps A Delshams, R Ramírez-Ros Communications in mathematical physics 190, 213-245, 1997 | 70 | 1997 |
| Effective reducibility of quasi-periodic linear equations close to constant coefficients A Jorba, R Ramirez-Ros, J Villanueva SIAM Journal on Mathematical Analysis 28 (1), 178-188, 1997 | 59 | 1997 |
| Exponentially small splitting of separatrices for perturbed integrable standard-like maps A Delshams, R Ramírez-Ros Journal of Nonlinear Science 8 (3), 317-352, 1998 | 51 | 1998 |
| Singular separatrix splitting and the Melnikov method: an experimental study A Delshams, R Ramírez-Ros Experimental Mathematics 8 (1), 29-48, 1999 | 34 | 1999 |
| Non-persistence of resonant caustics in perturbed elliptic billiards S Pinto-de-Carvalho, R Ramírez-Ros Ergodic Theory and Dynamical Systems 33 (6), 1876-1890, 2013 | 27 | 2013 |
| Break-up of resonant invariant curves in billiards and dual billiards associated to perturbed circular tables R Ramírez-Ros Physica D: Nonlinear Phenomena 214 (1), 78-87, 2006 | 27 | 2006 |
| Homoclinic billiard orbits inside symmetrically perturbed ellipsoids A Delshams, Y Fedorov, R Ramírez-Ros Nonlinearity 14 (5), 1141, 2001 | 21 | 2001 |
| Canonical Melnikov theory for diffeomorphisms HE Lomelí, JD Meiss, R Ramírez-Ros Nonlinearity 21 (3), 485, 2008 | 18 | 2008 |
| On Cayley conditions for billiards inside ellipsoids R Ramírez-Ros Nonlinearity 27 (5), 1003, 2014 | 17 | 2014 |
| A new approach to the vakonomic mechanics J Llibre, R Ramírez, N Sadovskaia Nonlinear dynamics 78, 2219-2247, 2014 | 16 | 2014 |
| The frequency map for billiards inside ellipsoids PS Casas, R Ramírez-Ros SIAM Journal on Applied Dynamical Systems 10 (1), 278-324, 2011 | 16 | 2011 |
| The billiard inside an ellipse deformed by the curvature flow J Damasceno, M Dias Carneiro, R Ramírez-Ros Proceedings of the American Mathematical Society 145 (2), 705-719, 2017 | 13 | 2017 |
| Exponentially small separatrix splittings and almost invisible homoclinic bifurcations in some billiard tables R Ramírez-Ros Physica D: Nonlinear Phenomena 210 (3-4), 149-179, 2005 | 11 | 2005 |
| On Birkhoff’s conjecture about convex billiards A Delshams, R Ramirez-Ros, D Catalunya, M Sofonea, JN Corvellec Proc. of the 2nd Catalan Days on Applied Mathematics (Odeillo, 1995), 85-94, 1995 | 11 | 1995 |
| Splitting of separatrices in Hamiltonian systems and symplectic maps A Delshams, R Ramirez-Ros, TM Seara Hamiltonian Systems with Three or More Degrees of Freedom, 39-54, 1999 | 10 | 1999 |
| Separatrix splitting in 3D volume-preserving maps HE Lomelí, R Ramírez-Ros SIAM Journal on Applied Dynamical Systems 7 (4), 1527-1557, 2008 | 9 | 2008 |
| Persistence of homoclinic orbits for billiards and twist maps S Bolotin, A Delshams, R Ramírez-Ros Nonlinearity 17 (4), 1153, 2004 | 9 | 2004 |
| Classification of symmetric periodic trajectories in ellipsoidal billiards PS Casas, R Ramírez-Ros Chaos: An Interdisciplinary Journal of Nonlinear Science 22 (2), 2012 | 8 | 2012 |
| On the length and area spectrum of analytic convex domains P Martín, R Ramírez-Ros, A Tamarit-Sariol Nonlinearity 29 (1), 198, 2015 | 6 | 2015 |
