Sansottera, Marco; Danesi, Veronica Kolmogorov variation: Kam with knobs (à la Kolmogorov). (English) Zbl 07817724 Math. Eng. (Springfield) 5, No. 5, Paper No. 89, 19 p. (2023). MSC: 68-XX 65-XX PDFBibTeX XMLCite \textit{M. Sansottera} and \textit{V. Danesi}, Math. Eng. (Springfield) 5, No. 5, Paper No. 89, 19 p. (2023; Zbl 07817724) Full Text: DOI arXiv
Danesi, Veronica; Locatelli, Ugo; Sansottera, Marco Existence proof of librational invariant tori in an averaged model of HD60532 planetary system. (English) Zbl 07693074 Celest. Mech. Dyn. Astron. 135, No. 3, Paper No. 24, 25 p. (2023). MSC: 70F15 70F10 70H08 70H09 PDFBibTeX XMLCite \textit{V. Danesi} et al., Celest. Mech. Dyn. Astron. 135, No. 3, Paper No. 24, 25 p. (2023; Zbl 07693074) Full Text: DOI arXiv
Valvo, Lorenzo; Locatelli, Ugo Hamiltonian control of magnetic field lines: computer assisted results proving the existence of KAM barriers. (English) Zbl 1510.37096 J. Comput. Dyn. 9, No. 4, 505-527 (2022). Reviewer: Mohammad Sajid (Buraydah) MSC: 37J40 37N05 37M05 37N35 70F07 70H08 PDFBibTeX XMLCite \textit{L. Valvo} and \textit{U. Locatelli}, J. Comput. Dyn. 9, No. 4, 505--527 (2022; Zbl 1510.37096) Full Text: DOI arXiv
Caracciolo, Chiara Normal form for lower dimensional elliptic tori in Hamiltonian systems. (English) Zbl 1525.37065 Math. Eng. (Springfield) 4, No. 6, Paper No. 51, 40 p. (2022). Reviewer: Jörg Härterich (Bochum) MSC: 37J40 37J11 70H08 70K45 70K43 70K60 PDFBibTeX XMLCite \textit{C. Caracciolo}, Math. Eng. (Springfield) 4, No. 6, Paper No. 51, 40 p. (2022; Zbl 1525.37065) Full Text: DOI arXiv
Galgani, L. Foundations of physics in Milan, Padua and Paris. Newtonian trajectories from celestial mechanics to atomic physics. (English) Zbl 1511.81138 Math. Eng. (Springfield) 3, No. 6, Paper No. 45, 24 p. (2021). MSC: 81V45 70F15 81Q20 82B30 81V80 01A70 01A72 PDFBibTeX XMLCite \textit{L. Galgani}, Math. Eng. (Springfield) 3, No. 6, Paper No. 45, 24 p. (2021; Zbl 1511.81138) Full Text: DOI
Chen, Qinbo; Pinzari, Gabriella Exponential stability of fast driven systems, with an application to celestial mechanics. (English) Zbl 1472.34104 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 208, Article ID 112306, 44 p. (2021). Reviewer: Bertin Zinsou (Johannesburg) MSC: 34D20 34C20 70F10 37J40 PDFBibTeX XMLCite \textit{Q. Chen} and \textit{G. Pinzari}, Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 208, Article ID 112306, 44 p. (2021; Zbl 1472.34104) Full Text: DOI arXiv
Caracciolo, Chiara; Locatelli, Ugo Elliptic tori in FPU non-linear chains with a small number of nodes. (English) Zbl 1462.37072 Commun. Nonlinear Sci. Numer. Simul. 97, Article ID 105759, 23 p. (2021). MSC: 37J40 37N05 37K60 65P40 70H08 70H15 PDFBibTeX XMLCite \textit{C. Caracciolo} and \textit{U. Locatelli}, Commun. Nonlinear Sci. Numer. Simul. 97, Article ID 105759, 23 p. (2021; Zbl 1462.37072) Full Text: DOI arXiv
Caracciolo, Chiara; Locatelli, Ugo Computer-assisted estimates for Birkhoff normal forms. (English) Zbl 1464.37062 J. Comput. Dyn. 7, No. 2, 425-460 (2020). MSC: 37J40 37N05 68V05 70F07 70H08 PDFBibTeX XMLCite \textit{C. Caracciolo} and \textit{U. Locatelli}, J. Comput. Dyn. 7, No. 2, 425--460 (2020; Zbl 1464.37062) Full Text: DOI arXiv
Guzzo, Massimiliano; Efthymiopoulos, Christos; Paez, Rocío I. Semi-analytic computations of the speed of Arnold diffusion along single resonances in a priori stable Hamiltonian systems. (English) Zbl 1443.37047 J. Nonlinear Sci. 30, No. 3, 851-901 (2020). Reviewer: Xiang Zhang (Shanghai) MSC: 37J40 37J25 37J35 70H08 70H09 PDFBibTeX XMLCite \textit{M. Guzzo} et al., J. Nonlinear Sci. 30, No. 3, 851--901 (2020; Zbl 1443.37047) Full Text: DOI arXiv
Barbieri, Santiago; Niederman, Laurent Sharp Nekhoroshev estimates for the three-body problem around periodic orbits. (English) Zbl 1481.70053 J. Differ. Equations 268, No. 7, 3749-3780 (2020). Reviewer: Maria Gousidou-Koutita (Thessaloniki) MSC: 70F07 70F15 70H05 70H06 70H08 70H09 70H14 37J40 PDFBibTeX XMLCite \textit{S. Barbieri} and \textit{L. Niederman}, J. Differ. Equations 268, No. 7, 3749--3780 (2020; Zbl 1481.70053) Full Text: DOI arXiv
Sansottera, Marco; Libert, Anne-Sophie Resonant Laplace-Lagrange theory for extrasolar systems in mean-motion resonance. (English) Zbl 1451.70054 Celest. Mech. Dyn. Astron. 131, No. 8, Paper No. 38, 20 p. (2019). MSC: 70M20 70F10 70E20 PDFBibTeX XMLCite \textit{M. Sansottera} and \textit{A.-S. Libert}, Celest. Mech. Dyn. Astron. 131, No. 8, Paper No. 38, 20 p. (2019; Zbl 1451.70054) Full Text: DOI arXiv
Giorgilli, Antonio; Locatelli, Ugo; Sansottera, Marco Secular dynamics of a planar model of the Sun-Jupiter-Saturn-Uranus system; effective stability in the light of Kolmogorov and Nekhoroshev theories. (English) Zbl 1390.70020 Regul. Chaotic Dyn. 22, No. 1, 54-77 (2017). MSC: 70F10 37J40 37N05 70-08 70H08 PDFBibTeX XMLCite \textit{A. Giorgilli} et al., Regul. Chaotic Dyn. 22, No. 1, 54--77 (2017; Zbl 1390.70020) Full Text: DOI arXiv
Sansottera, Marco; Ceccaroni, Marta Rigorous estimates for the relegation algorithm. (English) Zbl 1374.70031 Celest. Mech. Dyn. Astron. 127, No. 1, 1-18 (2017). MSC: 70F15 70H09 70-08 70G65 PDFBibTeX XMLCite \textit{M. Sansottera} and \textit{M. Ceccaroni}, Celest. Mech. Dyn. Astron. 127, No. 1, 1--18 (2017; Zbl 1374.70031) Full Text: DOI arXiv
Guzzo, Massimiliano; Lega, Elena The Nekhoroshev theorem and the observation of long-term diffusion in Hamiltonian systems. (English) Zbl 1369.70036 Regul. Chaotic Dyn. 21, No. 6, 707-719 (2016). MSC: 70H08 37J40 PDFBibTeX XMLCite \textit{M. Guzzo} and \textit{E. Lega}, Regul. Chaotic Dyn. 21, No. 6, 707--719 (2016; Zbl 1369.70036) Full Text: DOI
Sansottera, M.; Giorgilli, A.; Carletti, T. High-order control for symplectic maps. (English) Zbl 1364.37120 Physica D 316, 1-15 (2016). MSC: 37J10 93B05 37G05 37M05 PDFBibTeX XMLCite \textit{M. Sansottera} et al., Physica D 316, 1--15 (2016; Zbl 1364.37120) Full Text: DOI arXiv
Stefanelli, Letizia; Locatelli, Ugo Quasi-periodic motions in a special class of dynamical equations with dissipative effects: a pair of detection methods. (English) Zbl 1307.70010 Discrete Contin. Dyn. Syst., Ser. B 20, No. 4, 1155-1187 (2015). MSC: 70F15 70F40 34C20 34D10 37J40 PDFBibTeX XMLCite \textit{L. Stefanelli} and \textit{U. Locatelli}, Discrete Contin. Dyn. Syst., Ser. B 20, No. 4, 1155--1187 (2015; Zbl 1307.70010) Full Text: DOI arXiv
Giorgilli, Antonio; Locatelli, Ugo; Sansottera, Marco On the convergence of an algorithm constructing the normal form for elliptic lower dimensional tori in planetary systems. (English) Zbl 1298.70029 Celest. Mech. Dyn. Astron. 119, No. 3-4, 397-424 (2014). MSC: 70H08 37J40 37J15 70F10 70K45 PDFBibTeX XMLCite \textit{A. Giorgilli} et al., Celest. Mech. Dyn. Astron. 119, No. 3--4, 397--424 (2014; Zbl 1298.70029) Full Text: DOI arXiv
Sansottera, Marco; Lhotka, Christoph; Lemaître, Anne Effective stability around the Cassini state in the spin-orbit problem. (English) Zbl 1294.70015 Celest. Mech. Dyn. Astron. 119, No. 1, 75-89 (2014). MSC: 70M20 70F15 70K20 70H45 PDFBibTeX XMLCite \textit{M. Sansottera} et al., Celest. Mech. Dyn. Astron. 119, No. 1, 75--89 (2014; Zbl 1294.70015) Full Text: DOI arXiv
Sansottera, M.; Locatelli, U.; Giorgilli, A. On the stability of the secular evolution of the planar Sun-Jupiter-Saturn-Uranus system. (English) Zbl 1492.70010 Math. Comput. Simul. 88, 1-14 (2013). MSC: 70F10 37J40 37N05 70-08 70H08 PDFBibTeX XMLCite \textit{M. Sansottera} et al., Math. Comput. Simul. 88, 1--14 (2013; Zbl 1492.70010) Full Text: DOI arXiv
Libert, Anne-Sophie; Sansottera, Marco On the extension of the Laplace-Lagrange secular theory to order two in the masses for extrasolar systems. (English) Zbl 1293.70057 Celest. Mech. Dyn. Astron. 117, No. 2, 149-168 (2013). MSC: 70H09 37J40 37N05 70F15 PDFBibTeX XMLCite \textit{A.-S. Libert} and \textit{M. Sansottera}, Celest. Mech. Dyn. Astron. 117, No. 2, 149--168 (2013; Zbl 1293.70057) Full Text: DOI arXiv
Pinzari, Gabriella Aspects of the planetary Birkhoff normal form. (English) Zbl 1320.70007 Regul. Chaotic Dyn. 18, No. 6, 860-906 (2013). MSC: 70F07 37J40 70F10 70F15 70K43 70K45 PDFBibTeX XMLCite \textit{G. Pinzari}, Regul. Chaotic Dyn. 18, No. 6, 860--906 (2013; Zbl 1320.70007) Full Text: DOI arXiv
Sansottera, Marco; Locatelli, Ugo; Giorgilli, Antonio A semi-analytic algorithm for constructing lower dimensional elliptic tori in planetary systems. (English) Zbl 1266.70033 Celest. Mech. Dyn. Astron. 111, No. 3, 337-361 (2011). MSC: 70H08 70K45 70F15 PDFBibTeX XMLCite \textit{M. Sansottera} et al., Celest. Mech. Dyn. Astron. 111, No. 3, 337--361 (2011; Zbl 1266.70033) Full Text: DOI arXiv
Saito, Masaya Masayoshi; Tanikawa, Kiyotaka Non-Schubart periodic orbits in the rectilinear three-body problem. (English) Zbl 1223.70028 Celest. Mech. Dyn. Astron. 107, No. 4, 397-407 (2010). MSC: 70F07 70F16 PDFBibTeX XMLCite \textit{M. M. Saito} and \textit{K. Tanikawa}, Celest. Mech. Dyn. Astron. 107, No. 4, 397--407 (2010; Zbl 1223.70028) Full Text: DOI