| Rigorous numerics for symmetric connecting orbits: Even homoclinics of the Gray–Scott equation JB Van Den Berg, JD Mireles-James, JP Lessard, K Mischaikow SIAM Journal on Mathematical Analysis 43 (4), 1557-1594, 2011 | 101 | 2011 |
| Rigorous numerics for analytic solutions of differential equations: the radii polynomial approach A Hungria, JP Lessard, J Mireles James Mathematics of Computation 85 (299), 1427-1459, 2016 | 100 | 2016 |
| 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 | 78 | 2015 |
| Computing (un) stable manifolds with validated error bounds: non-resonant and resonant spectra JB van den Berg, JD Mireles James, C Reinhardt Journal of Nonlinear Science 26, 1055-1095, 2016 | 74 | 2016 |
| Computer assisted proof of transverse saddle-to-saddle connecting orbits for first order vector fields JP Lessard, JD Mireles James, C Reinhardt Journal of Dynamics and Differential Equations 26, 267-313, 2014 | 73 | 2014 |
| Rigorous a posteriori computation of (un) stable manifolds and connecting orbits for analytic maps JD Mireles James, K Mischaikow SIAM Journal on Applied Dynamical Systems 12 (2), 957-1006, 2013 | 67 | 2013 |
| Stationary coexistence of hexagons and rolls via rigorous computations JB van den Berg, A Deschênes, JP Lessard, JD Mireles James SIAM Journal on Applied Dynamical Systems 14 (2), 942-979, 2015 | 66 | 2015 |
| Automatic differentiation for Fourier series and the radii polynomial approach JP Lessard, JDM James, J Ransford Physica D: Nonlinear Phenomena 334, 174-186, 2016 | 61 | 2016 |
| Computation of maximal local (un) stable manifold patches by the parameterization method M Breden, JP Lessard, JDM James Indagationes Mathematicae 27 (1), 340-367, 2016 | 59 | 2016 |
| Computation of heteroclinic arcs with application to the volume preserving Hénon family JDM James, H Lomelí SIAM Journal on Applied Dynamical Systems 9 (3), 919-953, 2010 | 53 | 2010 |
| Quadratic volume-preserving maps:(un) stable manifolds, hyperbolic dynamics, and vortex-bubble bifurcations JD Mireles James Journal of Nonlinear Science 23, 585-615, 2013 | 45 | 2013 |
| Polynomial approximation of one parameter families of (un) stable manifolds with rigorous computer assisted error bounds JDM James Indagationes Mathematicae 26 (1), 225-265, 2015 | 44 | 2015 |
| Parameterization method for unstable manifolds of delay differential equations CM Groothedde, JDM James Journal of Computational Dynamics 4 (1&2), 21-70, 2017 | 42 | 2017 |
| Fourier–Taylor parameterization of unstable manifolds for parabolic partial differential equations: formalism, implementation and rigorous validation C Reinhardt, JDM James Indagationes Mathematicae 30 (1), 39-80, 2019 | 40 | 2019 |
| Chebyshev–Taylor parameterization of stable/unstable manifolds for periodic orbits: implementation and applications JD Mireles James, M Murray International Journal of Bifurcation and Chaos 27 (14), 1730050, 2017 | 35 | 2017 |
| Validated numerics for equilibria of analytic vector fields: invariant manifolds and connecting orbits JDM James Rigorous numerics in dynamics 74, 27-80, 2017 | 33 | 2017 |
| Parameterization of slow-stable manifolds and their invariant vector bundles: theory and numerical implementation JB van den Berg, JDM James Discrete Contin. Dyn. Syst 36 (9), 4637-4664, 2016 | 33 | 2016 |
| 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 | 32 | 2018 |
| Chaotic motions in the restricted four body problem via Devaney's saddle-focus homoclinic tangle theorem S Kepley, JDM James Journal of Differential Equations 266 (4), 1709-1755, 2019 | 31 | 2019 |
| Computer assisted Fourier analysis in sequence spaces of varying regularity JP Lessard, JD Mireles James SIAM Journal on Mathematical Analysis 49 (1), 530-561, 2017 | 30 | 2017 |
Jean-Philippe LessardMcGill University, Montreal, CanadaVerified email at mcgill.ca
