| Parameterization of Invariant Manifolds for Periodic Orbits I: Efficient Numerics via the Floquet Normal Form R Castelli, JP Lessard, JD Mireles-James SIAM Journal on Applied Dynamical Systems 14 (1), 132–167, 2015 | 63 | 2015 |
| Rigorous numerics in Floquet theory: computing stable and unstable bundles of periodic orbits R Castelli, JP Lessard SIAM Journal on Applied Dynamical Systems 12 (1), 204-245, 2013 | 43 | 2013 |
| Intersecting invariant manifolds in spatial restricted three-body problems: design and optimization of Earth-to-halo transfers in the Sun–Earth–Moon scenario A Zanzottera, G Mingotti, R Castelli, M Dellnitz Communications in Nonlinear Science and Numerical Simulation 17 (2), 832-843, 2012 | 41 | 2012 |
| Rigorous numerics for ill-posed PDEs: periodic orbits in the Boussinesq equation R Castelli, M Gameiro, JP Lessard Archive for Rational Mechanics and Analysis 228, 129-157, 2018 | 39 | 2018 |
| Efficient design of direct low-energy transfers in multi-moon systems E Fantino, R Castelli Celestial Mechanics and Dynamical Astronomy 127 (4), 429-450, 2017 | 27 | 2017 |
| Parameterization of invariant manifolds for periodic orbits (II): A posteriori analysis and computer assisted error bounds R Castelli, JP Lessard, JDM James Journal of Dynamics and Differential Equations 30, 1525-1581, 2018 | 26 | 2018 |
| Regions of prevalence in the coupled restricted three-body problems approximation R Castelli Communications in Nonlinear Science and Numerical Simulation 17 (2), 804-816, 2012 | 26 | 2012 |
| A METHOD TO RIGOROUSLY ENCLOSE EIGENPAIRS OF COMPLEX INTERVAL MATRICES R Castelli, JP Lessard Conference Applications of Mathematics 2013 in honor of the 70th birthday of …, 2013 | 23 | 2013 |
| Nonlinear and complex dynamics: applications in physical, biological, and financial systems JAT Machado, D Baleanu, ACJ Luo Springer Science & Business Media, 2011 | 21 | 2011 |
| Rigorous numerics for NLS: bound states, spectra, and controllability R Castelli, H Teismann Physica D: Nonlinear Phenomena 334, 158-173, 2016 | 19 | 2016 |
| Topologically Distinct Collision-Free Periodic Solutions for the -Center Problem R Castelli Archive for Rational Mechanics and Analysis 223 (2), 941-975, 2017 | 17 | 2017 |
| Existence and instability of steady states for a triangular cross-diffusion system: a computer-assisted proof M Breden, R Castelli Journal of Differential Equations 264 (10), 6418-6458, 2018 | 14 | 2018 |
| Rigorous Computation of Non-uniform Patterns for the 2-Dimensional Gray-Scott Reaction-Diffusion Equation R Castelli Acta Applicandae Mathematicae, 26, 2017 | 11 | 2017 |
| On the regularization of the collision solutions of the one-center problem with weak forces R Castelli, S Terracini Discrete and Continuous Dynamical Systems - Series A 31 (4), 1197 - 1218, 2011 | 11* | 2011 |
| On the variational approach to the one and N-centre problem with weak forces R Castelli Università degli Studi di Milano-Bicocca, Dottorato di ricerca in matematica …, 2009 | 11 | 2009 |
| On the relation between the bicircular model and the coupled circular restricted three-body problem approximation R Castelli Nonlinear and Complex Dynamics, 53-68, 2011 | 8 | 2011 |
| Analytic enclosure of the fundamental matrix solution R Castelli, JP Lessard, JD Mireles James Applications of Mathematics 60, 617-636, 2015 | 6 | 2015 |
| Singular dynamics under a weak potential on a sphere R Castelli, F Paparella, A Portaluri Nonlinear Differential Equations and Applications NoDEA 20, 845-872, 2013 | 6 | 2013 |
| Fog detection from camera images R Castelli, P Frolkovic, C Reinhardt, CC Stolk, J Tomczyk, A Vromans SWI 2016 19, 2016 | 4 | 2016 |
| A study of the apsidal angle and a proof of monotonicity in the logarithmic potential case R Castelli Journal of Mathematical Analysis and Applications 413 (2), 727-751, 2014 | 4 | 2014 |
Jean-Philippe LessardMcGill University, Montreal, CanadaPotvrđena adresa e-pošte na mcgill.ca
