KAM theory without action-angle variables R de la Llave, A González, À Jorba, J Villanueva Nonlinearity 18 (2), 855, 2005 | 178 | 2005 |
On the persistence of lower dimensional invariant tori under quasi-periodic perturbations A Jorba, J Villanueva Journal of Nonlinear Science 7, 427-473, 1997 | 151 | 1997 |
On the normal behaviour of partially elliptic lower-dimensional tori of Hamiltonian systems A Jorba, J Villanueva Nonlinearity 10 (4), 783, 1997 | 139 | 1997 |
Numerical computation of normal forms around some periodic orbits of the restricted three-body problem A Jorba, J Villanueva Physica D: Nonlinear Phenomena 114 (3-4), 197-229, 1998 | 73 | 1998 |
Effective reducibility of quasi-periodic linear equations close to constant coefficients A Jorba, R Ramirez-Ros, J Villanueva SIAM Journal on Mathematical Analysis 28 (1), 178-188, 1997 | 58 | 1997 |
Normal-internal resonances in quasi-periodically forced oscillators: a conservative approach H Broer, H Hanßmann, A Jorba, J Villanueva, F Wagener Nonlinearity 16 (5), 1751, 2003 | 57 | 2003 |
On the numerical computation of Diophantine rotation numbers of analytic circle maps TM Seara, J Villanueva Physica D: Nonlinear Phenomena 217 (2), 107-120, 2006 | 42 | 2006 |
A KAM theorem without action-angle variables for elliptic lower dimensional tori A Luque, J Villanueva Nonlinearity 24 (4), 1033, 2011 | 32 | 2011 |
Quasi-periodic frequency analysis using averaging-extrapolation methods A Luque, J Villanueva SIAM Journal on Applied Dynamical Systems 13 (1), 1-46, 2014 | 23 | 2014 |
Numerical computation of rotation numbers of quasi-periodic planar curves A Luque, J Villanueva Physica D: Nonlinear Phenomena 238 (20), 2025-2044, 2009 | 23 | 2009 |
Computation of derivatives of the rotation number for parametric families of circle diffeomorphisms A Luque, J Villanueva Physica D: Nonlinear Phenomena 237 (20), 2599-2615, 2008 | 22 | 2008 |
Kolmogorov theorem revisited J Villanueva Journal of Differential Equations 244 (9), 2251-2276, 2008 | 21 | 2008 |
The fine geometry of the Cantor families of invariant tori in Hamiltonian systems A Jorba, J Villanueva European Congress of Mathematics: Barcelona, July 10–14, 2000 Volume II, 557-564, 2001 | 21 | 2001 |
Motion close to the Hopf Bifurcation Of the vertical family of periodic orbits of L4 M Ollé, JR Pacha, J Villanueva Celestial Mechanics and Dynamical Astronomy 90, 87-107, 2004 | 20 | 2004 |
A dynamical systems approach to Bohmian trajectories in a 2D harmonic oscillator F Borondo, A Luque, J Villanueva, DA Wisniacki Journal of Physics A: Mathematical and Theoretical 42 (49), 495103, 2009 | 19 | 2009 |
Dynamics close to a non semi-simple 1:-1 resonant periodic orbit M Ollé, JR Pacha, J Villanueva DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS SERIES B 5 (3), 799, 2005 | 17 | 2005 |
Asymptotic size of Herman rings of the complex standard family by quantitative quasiconformal surgery N Fagella, TM Seara, J Villanueva Ergodic Theory and Dynamical Systems 24 (3), 735-766, 2004 | 13 | 2004 |
Kolmogorov–Arnold–Moser aspects of the periodic Hamiltonian Hopf bifurcation M Ollé, JR Pacha, J Villanueva Nonlinearity 21 (8), 1759, 2008 | 10 | 2008 |
Quantitative estimates on the normal form around a non-semi-simple 1:− 1 resonant periodic orbit M Ollé, JR Pacha, J Villanueva Nonlinearity 18 (3), 1141, 2005 | 10 | 2005 |
Numerical computation of the asymptotic size of the rotation domain for the Arnold family TM Seara, J Villanueva Physica D: Nonlinear Phenomena 238 (2), 197-208, 2009 | 8 | 2009 |