| Multidimensional continued fractions, dynamical renormalization and KAM theory K Khanin, JL Dias, J Marklof Communications in mathematical physics 270 (1), 197-231, 2007 | 52 | 2007 |
| Renormalization of flows on the multidimensional torus close to a KT frequency vector JL Dias Nonlinearity 15 (3), 647, 2002 | 31 | 2002 |
| Generic dynamics of 4-dimensional C 2 Hamiltonian systems M Bessa, JL Dias Communications in mathematical physics 281 (3), 597-619, 2008 | 25 | 2008 |
| A normal form theorem for Brjuno skew systems through renormalization JL Dias Journal of Differential Equations 230 (1), 1-23, 2006 | 22 | 2006 |
| Renormalization of multidimensional Hamiltonian flows K Khanin, JL Dias, J Marklof Nonlinearity 19 (12), 2727, 2006 | 22 | 2006 |
| Renormalization scheme for vector fields on 𝕋2 with a diophantine frequency JL Dias Nonlinearity 15 (3), 665, 2002 | 22 | 2002 |
| Chaos in the square billiard with a modified reflection law G Del Magno, J Lopes Dias, P Duarte, J Pedro Gaivão, D Pinheiro Chaos: An Interdisciplinary Journal of Nonlinear Science 22 (2), 026106, 2012 | 15 | 2012 |
| SRB measures for polygonal billiards with contracting reflection laws G Del Magno, JL Dias, P Duarte, JP Gaivão, D Pinheiro Communications in Mathematical Physics 329 (2), 687-723, 2014 | 14 | 2014 |
| Brjuno condition and renormalization for Poincaré flows JL Dias DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS 15 (2), 641, 2006 | 14 | 2006 |
| Realization of tangent perturbations in discrete and continuous time conservative systems HN Alishah, JL Dias arXiv preprint arXiv:1310.1063, 2013 | 13 | 2013 |
| Renormalization of Diophantine skew flows, with applications to the reducibility problem H Koch, JL Dias Discrete & Continuous Dynamical Systems-A 21 (2), 477, 2008 | 13 | 2008 |
| Hamiltonian elliptic dynamics on symplectic 4-manifolds M Bessa, J Dias Proceedings of the American Mathematical Society 137 (2), 585-592, 2009 | 11 | 2009 |
| Ergodicity of polygonal slap maps G Del Magno, JL Dias, P Duarte, JP Gaivão Nonlinearity 27 (8), 1969, 2014 | 6 | 2014 |
| Local conjugacy classes for analytic torus flows JL Dias Journal of Differential Equations 245 (2), 468-489, 2008 | 6 | 2008 |
| Hyperbolic polygonal billiards with finitely many ergodic SRB measures G Del Magno, JL Dias, P Duarte, JP Gaivao Ergodic Theory and Dynamical Systems 38 (6), 2062-2085, 2018 | 5 | 2018 |
| On shadowing and hyperbolicity for geodesic flows on surfaces M Bessa, JL Dias, MJ Torres Nonlinear Analysis 155, 250-263, 2017 | 3 | 2017 |
| From ice to penguins: the role of mathematics in Antarctic research JC Xavier, SL Hill, M Belchier, TJ Bracegirdle, EJ Murphy, JL Dias Mathematics of Energy and Climate Change, 389-414, 2015 | 3 | 2015 |
| Linearization of Gevrey flows on Td with a Brjuno type arithmetical condition JL Dias, JP Gaivão Journal of Differential Equations 267 (12), 7167-7212, 2019 | 2 | 2019 |
| Renormalization of Gevrey vector fields with a Brjuno type arithmetical condition JL Dias, JP Gaivão arXiv preprint arXiv:1706.04510, 2017 | 2 | 2017 |
| Hamiltonian suspension of perturbed Poincaré sections and an application M Bessa, JL Dias Math. Proc. Cam. Phil. Soc 157, 101-112, 2014 | 2 | 2014 |
