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Roberto Castelli

Observed names: Castelli, R., Castelli, Roberto, R. Castelli
ORCID: 0000-0002-6805-3956
Observed ORCID: 0000-0002-6805-3956
OpenAlex ID: A5025827755
Parameterization of Invariant Manifolds for Periodic Orbits I: Efficient Numerics via the Floquet Normal Form
2015 · Roberto Castelli, Jean-Philippe Lessard, et al. · SIAM Journal on Applied Dynamical Systems · 69
Intersecting invariant manifolds in spatial restricted three-body problems: Design and optimization of Earth-to-halo transfers in the Sun–Earth–Moon scenario
2011 · A. Zanzottera, G. Mingotti, et al. · Communications in Nonlinear Science and Numerical Simulation · 39
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Rigorous Numerics in Floquet Theory: Computing Stable and Unstable Bundles of Periodic Orbits
2013 · Roberto Castelli, Jean-Philippe Lessard · SIAM Journal on Applied Dynamical Systems · 38
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Rigorous Numerics for ill-posed PDEs: Periodic Orbits in the Boussinesq Equation
2017 · Roberto Castelli, Marcio Gameiro, et al. · Archive for Rational Mechanics and Analysis · 36
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Parameterization of Invariant Manifolds for Periodic Orbits (II): A Posteriori Analysis and Computer Assisted Error Bounds
2017 · Roberto Castelli, Jean-Philippe Lessard, et al. · Journal of Dynamics and Differential Equations · 24
Efficient design of direct low-energy transfers in multi-moon systems
2016 · Elena Fantino, Roberto Castelli · Celestial Mechanics and Dynamical Astronomy · 21
Regions of prevalence in the coupled restricted three-body problems approximation
2011 · Roberto Castelli · Communications in Nonlinear Science and Numerical Simulation · 18
Rigorous numerics for NLS: Bound states, spectra, and controllability
2016 · Roberto Castelli, Holger Teismann · Physica D Nonlinear Phenomena · 17
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Existence and instability of steady states for a triangular cross-diffusion system: A computer-assisted proof
2018 · Maxime Breden, Roberto Castelli · Journal of Differential Equations · 15
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Topologically Distinct Collision-Free Periodic Solutions for the $${N}$$ N -Center Problem
2016 · Roberto Castelli · Archive for Rational Mechanics and Analysis · 15
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A Method to Rigorously Enclose Eigenpairs of Complex Interval Matrices
2013 · Roberto Castelli, Jean‐Philippe Lessard · Czech digital mathematics library · 14
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On the regularization of the collision solutions of the one-center problem with weak forces
2011 · Roberto Castelli, Susanna Terracini · Discrete and Continuous Dynamical Systems · 12
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Rigorous Computation of Non-uniform Patterns for the 2-Dimensional Gray-Scott Reaction-Diffusion Equation
2017 · Roberto Castelli · Acta Applicandae Mathematicae · 11
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On the Relation Between the Bicircular Model and the Coupled Circular Restricted Three-Body Problem Approximation
2011 · Roberto Castelli · Springer eBooks · 11
Singular dynamics under a weak potential on a sphere
2012 · Roberto Castelli, Francesco Paparella, et al. · Nonlinear Differential Equations and Applications NoDEA · 6
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Analytic enclosure of the fundamental matrix solution
2015 · Roberto Castelli, Jean-Philippe Lessard, et al. · Applications of Mathematics · 5
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A study of the apsidal angle and a proof of monotonicity in the logarithmic potential case
2013 · Roberto Castelli · Journal of Mathematical Analysis and Applications · 5
Some unexpected results on the Brillouin singular equation: Fold bifurcation of periodic solutions
2018 · Roberto Castelli, Maurizio Garrione · Journal of Differential Equations · 4
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Low-Energy Earth-to-Halo Transfers in the Earth–Moon Scenario with Sun-Perturbation
2011 · Anna Zanzottera, Giorgio Mingotti, et al. · Springer eBooks · 4
Efficient representation of invariant manifolds of periodic orbits in the CRTBP
2018 · Roberto Castelli · Discrete and Continuous Dynamical Systems - B · 3
The monotonicity of the apsidal angle in power-law potential systems
2015 · Roberto Castelli · Journal of Mathematical Analysis and Applications · 3
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Fog detection from camera images
2016 · Castelli, Roberto, Frolkovic, Peter, et al. · TU/e Research Portal · 2
A method to rigorously enclose eigendecompositions of interval matrices
2011 · Castelli, Roberto, Lessard, Jean-Philippe · arXiv (Cornell University) · 2
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Two-Body Approximations in the Design of Low-Energy Transfers Between Galilean Moons
2016 · Elena Fantino, Roberto Castelli · Astrophysics and space science proceedings
A variety of non-collision periodic solutions for the N-centre problem
2012 · Roberto Castelli
Works count: 32
Citation count: 374
H-index: 12
I10-index: 14
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