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Marco Sansottera
Marco Sansottera
Universita' degli Studi di Milano, Dipartimento di Matematica
Dirección de correo verificada de unimi.it
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Kolmogorov and Nekhoroshev theory for the problem of three bodies
A Giorgilli, U Locatelli, M Sansottera
Celestial Mechanics and Dynamical Astronomy 104, 159-173, 2009
592009
On the extension of the Laplace-Lagrange secular theory to order two in the masses for extrasolar systems
AS Libert, M Sansottera
Celestial Mechanics and Dynamical Astronomy 117 (2), 149-168, 2013
422013
On the stability of the secular evolution of the planar Sun–Jupiter–Saturn–Uranus system
M Sansottera, U Locatelli, A Giorgilli
Mathematics and Computers in Simulation 88, 1-14, 2013
392013
Secular dynamics of a planar model of the Sun-Jupiter-Saturn-Uranus system; effective stability in the light of Kolmogorov and Nekhoroshev theories
A Giorgilli, U Locatelli, M Sansottera
Regular and Chaotic Dynamics 22, 54-77, 2017
362017
Methods of algebraic manipulation in perturbation theory
A Giorgilli, M Sansottera
arXiv preprint arXiv:1303.7398, 2013
282013
A semi-analytic algorithm for constructing lower dimensional elliptic tori in planetary systems
M Sansottera, U Locatelli, A Giorgilli
Celestial Mechanics and Dynamical Astronomy, 1-25, 2011
282011
On the convergence of an algorithm constructing the normal form for elliptic lower dimensional tori in planetary systems
A Giorgilli, U Locatelli, M Sansottera
Celestial Mechanics and Dynamical Astronomy 119, 397-424, 2014
212014
Resonant Laplace-Lagrange theory for extrasolar systems in mean-motion resonance
M Sansottera, AS Libert
Celestial Mechanics and Dynamical Astronomy 131, 1-20, 2019
192019
On the nonexistence of degenerate phase-shift discrete solitons in a dNLS nonlocal lattice
T Penati, M Sansottera, S Paleari, V Koukouloyannis, PG Kevrekidis
Physica D: Nonlinear Phenomena 370, 1-13, 2018
152018
A reverse KAM method to estimate unknown mutual inclinations in exoplanetary systems
M Volpi, U Locatelli, M Sansottera
Celestial Mechanics and Dynamical Astronomy 130, 1-17, 2018
152018
Rigorous estimates for the relegation algorithm
M Sansottera, M Ceccaroni
Celestial Mechanics and Dynamical Astronomy 127, 1-18, 2017
102017
Exponential stability in the perturbed central force problem
D Bambusi, A Fusè, M Sansottera
Regular and Chaotic Dynamics 23 (7), 821-841, 2018
92018
Improved convergence estimates for the Schröder–Siegel problem
A Giorgilli, U Locatelli, M Sansottera
Annali di Matematica Pura ed Applicata (1923-) 194 (4), 995-1013, 2015
92015
Librational KAM tori in the secular dynamics of the υ Andromedæ planetary system
C Caracciolo, U Locatelli, M Sansottera, M Volpi
Monthly Notices of the Royal Astronomical Society 510 (2), 2147-2166, 2022
82022
Effective stability around the Cassini state in the spin-orbit problem
M Sansottera, C Lhotka, A Lemaître
Celestial Mechanics and Dynamical Astronomy 119 (1), 75-89, 2014
82014
On the continuation of degenerate periodic orbits via normal form: full dimensional resonant tori
T Penati, M Sansottera, V Danesi
Communications in Nonlinear Science and Numerical Simulation 61, 198-224, 2018
72018
Su un'estensione della teoria di Lagrange per i moti secolari
A Giorgilli, U Locatelli, M Sansottera
arXiv preprint arXiv:1303.7392, 2013
72013
Methods of algebraic manipulation in perturbation theory, in “Chaos, Diffusion and Non-integrability in Hamiltonian Systems—Applications to Astronomy”
A Giorgilli, M Sansottera
Proceedings of the Third La Plata International School on Astronomy and …, 2012
72012
On the nonexistence of degenerate phase-shift multibreathers in Klein–Gordon models with interactions beyond nearest neighbors
T Penati, V Koukouloyannis, M Sansottera, PG Kevrekidis, S Paleari
Physica D: Nonlinear Phenomena 398, 92-114, 2019
62019
Kolmogorov variation: KAM with knobs (\a la Kolmogorov)
M Sansottera, V Danesi
arXiv preprint arXiv:2109.06345, 2021
52021
El sistema no puede realizar la operación en estos momentos. Inténtalo de nuevo más tarde.
Artículos 1–20