Effective stability and KAM theory A Delshams, P Gutiérrez journal of differential equations 128 (2), 415-490, 1996 | 101 | 1996 |
Splitting potential and the Poincaré-Melnikov method for whiskered tori in Hamiltonian systems A Delshams, P Gutiérrez Journal of Nonlinear Science 10 (4), 433-476, 2000 | 89 | 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 | 36 | 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 | 27 | 2004 |
Exponentially small splitting of separatrices for whiskered tori in Hamiltonian systems A Delshams, P Gutiérrez Journal of Mathematical Sciences 128 (2), 2726-2746, 2005 | 24 | 2005 |
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 | 21 | 2004 |
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 | 16 | 2013 |
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 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 | 10 | 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 (6), 663-680, 2014 | 8 | 2014 |
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 | 6 | 2016 |
Splitting and Melnikov potentials in Hamiltonian systems A Delshams, P Gutiérrez Hamiltonian Systems And Celestial Mechanics: (HAMSYS–98), 111-137, 2000 | 6 | 2000 |
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 | 6* | 1999 |
Estabilitat efectiva i tors invariants de sistemes hamiltonians quasi-integrables P Gutierrez | 5 | 1995 |
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 (2), 222-236, 2010 | 4 | 2010 |
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 Abstracts Spring 2014, 31-37, 2015 | 2 | 2015 |
Transversality of homoclinic orbits to hyperbolic equilibria in a Hamiltonian system, via the Hamilton–Jacobi equation A Delshams, P Gutiérrez, JR Pacha Physica D: Nonlinear Phenomena 243 (1), 64-85, 2013 | 2 | 2013 |
Nekhoroshev and KAM theorems revisited via a unified approach A Delshams, P Gutiérrez Hamiltonian Mechanics, 299-306, 1994 | 1 | 1994 |
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 | | 2020 |