| Effective stability and KAM theory A Delshams, P Gutiérrez journal of differential equations 128 (2), 415-490, 1996 | 105 | 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 | 97 | 2000 |
| 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 |
| Homoclinic orbits to invariant tori in Hamiltonian systems A Delshams, P Gutierrez Multiple-Time-Scale Dynamical Systems, 1-27, 2001 | 35 | 2001 |
| Exponentially small splitting for whiskered tori in Hamiltonian sysems: flow-box coordinates and upper bounds A Delshams, P Gutiérrez, TM Seara Discrete Contin. Dyn. Syst 11 (4), 785-826, 2004 | 25 | 2004 |
| Exponentially small splitting for whiskered tori in Hamiltonian systems: continuation of transverse homoclinic orbits A Delshams, P Gutiérrez Discrete Contin. Dyn. Syst 11 (4), 757-783, 2004 | 19 | 2004 |
| Exponentially small splitting of separatrices for whiskered tori in Hamiltonian systems A Delshams, P Gutiérrez Записки научных семинаров ПОМИ 300 (0), 87-121, 2003 | 18 | 2003 |
| Homoclinic orbits to invariant tori near a homoclinic orbit to center–center–saddle equilibrium O Koltsova, L Lerman, A Delshams, P Gutiérrez Physica D: Nonlinear Phenomena 201 (3-4), 268-290, 2005 | 16 | 2005 |
| Exponentially small asymptotic estimates for the splitting of separatrices to whiskered tori with quadratic and cubic frequencies A Delshams, M Gonchenko, P Gutiérrez arXiv preprint arXiv:1306.0728, 2013 | 15 | 2013 |
| Exponentially small lower bounds for the splitting of separatrices to whiskered tori with frequencies of constant type A Delshams, M Gonchenko, P Gutiérrez International Journal of Bifurcation and Chaos 24 (08), 1440011, 2014 | 9 | 2014 |
| Continuation of the exponentially small transversality for the splitting of separatrices to a whiskered torus with silver ratio A Delshams, M Gonchenko, P Gutiérrez Regular and Chaotic Dynamics 19, 663-680, 2014 | 8 | 2014 |
| Effective stability for nearly integrable Hamiltonian systems A Delshams, P Gutierrez Proceedings of the International Conference on Differential Equations …, 1991 | 8 | 1991 |
| Exponentially small splitting of separatrices and transversality associated to whiskered tori with quadratic frequency ratio A Delshams, M Gonchenko, P Gutiérrez SIAM Journal on Applied Dynamical Systems 15 (2), 981-1024, 2016 | 7 | 2016 |
| Exponentially small splitting of separatrices for whiskered tori in Hamiltonian systems A Delshams, P Gutiérrez Journal of Mathematical Sciences 128 (2), 2726-2746, 2005 | 7 | 2005 |
| Splitting and Melnikov potentials in Hamiltonian systems A Delshams, P Gutiérrez Hamiltonian Systems And Celestial Mechanics: (HAMSYS–98), 111-137, 2000 | 7 | 2000 |
| Transverse intersections between invariant manifolds of doubly hyperbolic invariant tori, via the Poincaré-Mel’nikov method A Delshams, P Gutiérrez, O Koltsova, JR Pacha Regular and Chaotic Dynamics 15, 222-236, 2010 | 5 | 2010 |
| Exponentially small estimates for KAM theorem near an elliptic equilibrium point A Delshams, P Gutierrez Hamiltonian Systems with Three or More Degrees of Freedom, 386-390, 1999 | 5* | 1999 |
| Exponentially small splitting of separatrices associated to 3D whiskered tori with cubic frequencies A Delshams, M Gonchenko, P Gutiérrez Communications in Mathematical Physics 378 (3), 1931-1976, 2020 | 4 | 2020 |
| Estabilitat efectiva i tors invariants de sistemes hamiltonians quasi-integrables P Gutierrez | 3 | 1995 |
| A methodology for obtaining asymptotic estimates for the exponentially small splitting of separatrices to whiskered tori with quadratic frequencies A Delshams, M Gonchenko, P Gutiérrez Extended, 31, 2014 | 2 | 2014 |
Amadeu DelshamsProfessor of Applied Mathematics, Universitat Politecnica de CatalunyaVerified email at upc.edu
