Preprint

Existence and instability of steady states for a triangular cross-diffusion system: a computer-assisted proof , with M. Breden. Submitted (2017). The Matlab code associated to this work is here . The code requires the interval arithmetic package Intlab

Efficient representation of invariant manifolds of periodic orbit in the CRTBP. Submitted (2016)

Some unexpected results on the Brillouin singular equation: Fold bifurcation of periodic solutions, with M. Garrione. Submitted 2017

Journals

[22] Rigorous numerics for ill-posed PDEs: periodic orbits in the Boussinesq equation, with M. Gameiro and J.-P. Lessard. Accepted for publication in Archive for Rational Mechanics and Analysis (2017). The Matlab code associated to this work is here . The code requires the interval arithmetic package Intlab

[21] Parameterization of invariant manifolds for periodic orbits (II): a-posteriori analysis and computer assisted error bounds, with J.-P. Lessard and J.D. Mireles James. Journal of Dynamics and Differential Equations (2017).

[20] Rigorous computation of non-uniform patterns for the 2-dimensional Gray-Scott reaction-diffusion equation Acta Appl. Math., 151(1), 27-52, (2017)

[19] Efficient design of direct low-energy transfers in multi-moon systems, with E. Fantino, Celes. Mech. and Dyn. Astr., 127(4), 429-450, (2017)

[18] Topologically distinct collision-free periodic solutions for the N-center problem, Archive for Rational Mechanics and Analysis, 223, 941-975 (2017)

[17] Rigorous numerics for NLS: bound states, spectra, and controllability, with H. Teismann, Physica D: Nonlinear Phenomena, 334, 158–173, 2016. The Matlab code associated to this work is here . The code requires the interval arithmetic package Intlab

[16] Analytic enclosure of the fundamental matrix solution, with J.-P. Lessard and J.D. Mireles James. Applications of Mathematics, 60(6), 617-636, 2015

[15] The monotonicity of the apsidal angle in power-law potential systems, Journal of Mathematical Analysis and Applications, 428(1), 653-676, 2015

[14] Parameterization of invariant manifolds for periodic orbits (I): efficient numerics via the Floquet normal form, with J.-P. Lessard and J.D. Mireles James,SIAM Journal on Applied Dynamical Systems, 14(1), 132-167, 2015

[13] A study of the apsidal angle and a proof of monotonicity in the logarithmic potential case, Journal of Mathematical Analysis and Applications, 413(2):727-751, 2014

[12] Rigorous Numerics in Floquet Theory: Computing Stable and Unstable Bundles of Periodic Orbits, with J.-P. Lessard, SIAM Journal on Applied Dynamical Systems, 12(1):204-245, 2013. The Matlab code associated to this work is here . The code requires the interval arithmetic package Intlab

[11] Singular dynamics under a weak potential on a sphere, with F. Paparella, and A. Portaluri, Nonlinear Differential Equations and Applications NoDEA, 20(3):845-872, 2013

[10] Regions of prevalence in the coupled restricted three-body problems approximation, Communications in Nonlinear Science and Numerical Simulation, 17(2):804-816, 2012

[9] Intersecting invariant manifolds in spatial restricted three-body problems: Design and optimization of Earth-to-halo transfers in the Sun-Earth-Moon scenario, with A. Zanzottera, G. Mingotti and M. Dellnitz, Communications in Nonlinear Science and Numerical Simulation, 17(2):832-843, 2012

[8] On the regularization of the collision solutions of the one-center problem with weak forces, with S. Terracini, Discrete Contin. Dyn. Syst. A, 31(4):1197-1218, 2011

Proceedings

[6] A method to rigorously enclose eigendepairs of complex interval matrices, with J.-P. Lessard, Proceedings of the International Conference on Applications of Mathematics (AM2013) in honour of the 70-th birthday of Karel Segeth, Institute of Mathematics AS CR, Prague 2013

[5] Fog detection from camera images, R. Castelli et al., Proceedings of the SWI 2016 Meeting.

[4] Earth-to-Halo Transfers in the Sun-Earth-Moon Scenario, with A. Zanzottera, G. Mingotti and M. Dellnitz, Proceedings of the Third Conference on Nonlinear Science and Complexity (NSC10), Ankara 2010

[3] The Prevalence of each CR3BP in the Approximation of the Bicircular model, Proceedings of the Third Conference on Nonlinear Science and Complexity (NSC10), Ankara 2010

Chapters

[1] Low-Energy Earth-to-Halo Transfers in the Earth-Moon Scenario with Sun-Perturbation, with A. Zanzottera, G. Mingotti and M. Dellnitz, In Nonlinear and Complex Dynamics, p. 39-51, Springer New York, 2011

Thesis

Il moto di filamenti vorticosi quasi paralleli, M.Sc Thesis, Univ. degli Studi di Milano-Bicocca, 2005 (In italian)