Generic bifurcations of low codimension of planar Filippov systems M Guardia, TM Seara, MA Teixeira Journal of Differential equations 250 (4), 1967-2023, 2011 | 339 | 2011 |
Growth of Sobolev norms in the cubic defocusing nonlinear Schrödinger equation M Guardia, V Kaloshin Journal of the European Mathematical Society 17 (1), 71-149, 2015 | 121 | 2015 |
Oscillatory motions for the restricted planar circular three body problem M Guardia, P Martín, TM Seara Inventiones mathematicae 203 (2), 417-492, 2016 | 59 | 2016 |
An analytical approach to codimension-2 sliding bifurcations in the dry-friction oscillator M Guardia, SJ Hogan, TM Seara SIAM Journal on Applied Dynamical Systems 9 (3), 769-798, 2010 | 59 | 2010 |
Growth of Sobolev norms for the analytic NLS on T2 M Guardia, E Haus, M Procesi Advances in Mathematics 301, 615-692, 2016 | 57 | 2016 |
Exponentially small splitting of separatrices beyond Melnikov analysis: rigorous results I Baldomá, E Fontich, M Guardia, TM Seara Journal of Differential Equations 253 (12), 3304-3439, 2012 | 50 | 2012 |
Kirkwood gaps and diffusion along mean motion resonances in the restricted planar three-body problem J Féjoz, M Guardia, V Kaloshin, P Roldán Journal of the European Mathematical Society 18 (10), 2315-2403, 2016 | 48 | 2016 |
Growth of Sobolev norms in the cubic nonlinear Schrödinger equation with a convolution potential M Guardia Communications in Mathematical Physics 329 (1), 405-434, 2014 | 42 | 2014 |
Exponentially small splitting for the pendulum: a classical problem revisited M Guardia, C Olivé, TM Seara Journal of nonlinear science 20, 595-685, 2010 | 31 | 2010 |
Oscillatory orbits in the restricted elliptic planar three body problem M Guardia, P Martín, L Sabbagh, TM Seara arXiv preprint arXiv:1506.04551, 2015 | 29 | 2015 |
Strong nonlinear instability and growth of Sobolev norms near quasiperiodic finite gap tori for the 2D cubic NLS equation M Guardia, Z Hani, E Haus, A Maspero, M Procesi Journal of the European Mathematical Society 25 (4), 1497-1551, 2022 | 21 | 2022 |
Symbolic dynamics in the restricted elliptic isosceles three body problem M Guardia, J Paradela, TM Seara, C Vidal Journal of Differential Equations 294, 143-177, 2021 | 17 | 2021 |
Exponentially and non-exponentially small splitting of separatrices for the pendulum with a fast meromorphic perturbation M Guardia, TM Seara Nonlinearity 25 (5), 1367, 2012 | 16 | 2012 |
Chaotic-like transfers of energy in Hamiltonian PDEs F Giuliani, M Guardia, P Martin, S Pasquali Communications in Mathematical Physics 384 (2), 1227-1290, 2021 | 15 | 2021 |
Orbits of nearly integrable systems accumulating to KAM tori M Guardia, V Kaloshin arXiv preprint arXiv:1412.7088, 2014 | 14 | 2014 |
Asymptotic density of collision orbits in the restricted circular planar 3 body problem M Guardia, V Kaloshin, J Zhang Archive for Rational Mechanics and Analysis 233, 799-836, 2019 | 13 | 2019 |
Strong nonlinear instability and growth of Sobolev norms near quasiperiodic finite-gap tori for the 2D cubic NLS equation M Guardia, Z Hani, E Haus, A Maspero, M Procesi arXiv preprint arXiv:1810.03694, 2018 | 13 | 2018 |
Erratum to “Growth of Sobolev norms in the cubic defocusing nonlinear Schrödinger equation” M Guardia, V Kaloshin personal communication, 2017 | 13 | 2017 |
Secular instability in the three-body problem J Fejoz, M Guardia Archive for rational mechanics and analysis 221, 335-362, 2016 | 13 | 2016 |
Sobolev norms explosion for the cubic NLS on irrational tori F Giuliani, M Guardia Nonlinear Analysis 220, 112865, 2022 | 12 | 2022 |