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Roberto Castelli
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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
692015
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
432013
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
422012
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
392018
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
302017
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
282018
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
262012
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
242013
Nonlinear and complex dynamics: applications in physical, biological, and financial systems
JAT Machado, D Baleanu, ACJ Luo
Springer Science & Business Media, 2011
212011
Rigorous numerics for NLS: bound states, spectra, and controllability
R Castelli, H Teismann
Physica D: Nonlinear Phenomena 334, 158-173, 2016
192016
Topologically Distinct Collision-Free Periodic Solutions for the -Center Problem
R Castelli
Archive for Rational Mechanics and Analysis 223 (2), 941-975, 2017
172017
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
152018
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
12*2011
Rigorous Computation of Non-uniform Patterns for the 2-Dimensional Gray-Scott Reaction-Diffusion Equation
R Castelli
Acta Applicandae Mathematicae, 26, 2017
112017
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
112009
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
92011
Fog detection from camera images
R Castelli, P Frolkovic, C Reinhardt, CC Stolk, J Tomczyk, A Vromans
SWI 2016 19, 2016
62016
Analytic enclosure of the fundamental matrix solution
R Castelli, JP Lessard, JD Mireles James
Applications of Mathematics 60, 617-636, 2015
62015
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
62013
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
52014
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