Effective stability for a Hamiltonian system near an elliptic equilibrium point, with an application to the restricted three body problem A Giorgilli, A Delshams, E Fontich, L Galgani, C Simó Journal of differential equations 77 (1), 167-198, 1989 | 289 | 1989 |
A Geometric Mechanism for Diffusion in Hamiltonian Systems Overcoming the Large Gap Problem: Heuristics and Rigorous Verification on a Model: Heuristics and Rigorous … A Delshams, R De la Llave, TM Seara American Mathematical Soc. 179 (844), 2006 | 220 | 2006 |
An asymptotic expression for the splitting of separatrices of the rapidly forced pendulum A Delshams, TM Seara | 159 | 1992 |
A Geometric Approach to the Existence of Orbits with Unbounded Energy in Generic Periodic Perturbations by a Potential of Generic Geodesic Flows of ?2} A Delshams, R De la Llave, TM Seara Communications in Mathematical Physics 209, 353-392, 2000 | 147 | 2000 |
Geometric properties of the scattering map of a normally hyperbolic invariant manifold A Delshams, R De La Llave, TM Seara Advances in Mathematics 217 (3), 1096-1153, 2008 | 126 | 2008 |
Exponentially small splitting of separatrices under fast quasiperiodic forcing A Delshams, V Gelfreich, A Jorba, TM Seara Communications in mathematical physics 189, 35-71, 1997 | 121 | 1997 |
KAM theory and a partial justification of Greene's criterion for nontwist maps A Delshams, R De La Llave SIAM Journal on Mathematical Analysis 31 (6), 1235-1269, 2000 | 114 | 2000 |
Effective stability and KAM theory A Delshams, P Gutiérrez journal of differential equations 128 (2), 415-490, 1996 | 108 | 1996 |
Splitting potential and the Poincaré-Melnikov method for whiskered tori in Hamiltonian systems A Delshams, P Gutiérrez Journal of Nonlinear Science 10, 433-476, 2000 | 92 | 2000 |
Splitting of separatrices in Hamiltonian systems with one and a half degrees of freedom A Delshams, TM Seara Math. Phys. Electron. J. 3 (1), 1-40, 1997 | 83 | 1997 |
Poincaré-Melnikov-Arnold method for analytic planar maps A Delshams, R Ramírez-Ros Nonlinearity 9 (1), 1, 1996 | 83 | 1996 |
Geography of resonances and Arnold diffusion in a priori unstable Hamiltonian systems A Delshams, G Huguet Nonlinearity 22 (8), 1997, 2009 | 77 | 2009 |
Melnikov potential for exact symplectic maps A Delshams, R Ramírez-Ros Communications in mathematical physics 190, 213-245, 1997 | 70 | 1997 |
Orbits of unbounded energy in quasi-periodic perturbations of geodesic flows A Delshams, R de la Llave, TM Seara Advances in Mathematics 202 (1), 64-188, 2006 | 64 | 2006 |
Abundance of attracting, repelling and elliptic periodic orbits in two-dimensional reversible maps A Delshams, SV Gonchenko, VS Gonchenko, JT Lázaro, O Sten'Kin Nonlinearity 26 (1), 1, 2012 | 63 | 2012 |
Estimates on invariant tori near an elliptic equilibrium point of a Hamiltonian system A Delshams, P Gutiérrez journal of differential equations 131 (2), 277-303, 1996 | 61 | 1996 |
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 | 50 | 1998 |
Examples of integrable and non-integrable systems on singular symplectic manifolds A Delshams, A Kiesenhofer, E Miranda Journal of Geometry and Physics 115, 89-97, 2017 | 49 | 2017 |
Geometric approaches to the problem of instability in Hamiltonian systems. An informal presentation A Delshams, M Gidea, R de la Llave, TM Seara Hamiltonian dynamical systems and applications, 285-336, 2008 | 46 | 2008 |
Global instability in the restricted planar elliptic three body problem A Delshams, V Kaloshin, A de la Rosa, TM Seara Communications in Mathematical Physics 366 (3), 1173-1228, 2019 | 45 | 2019 |