Giorgilli, Antonio Notes on Hamiltonian dynamical systems. (English) Zbl 1517.37001 London Mathematical Society Student Texts 102. Cambridge: Cambridge University Press (ISBN 978-1-00-915113-9/pbk; 978-1-00-915114-6/hbk; 978-1-00-915112-2/ebook). xx, 452 p. (2022). MSC: 37-01 37Kxx 37Jxx 70Hxx PDFBibTeX XMLCite \textit{A. Giorgilli}, Notes on Hamiltonian dynamical systems. Cambridge: Cambridge University Press (2022; Zbl 1517.37001) Full Text: DOI
Giorgilli, Antonio Quasiperiodic motions and stability of the solar system. I. From epicycles to Poincaré’s homoclinic point. (Italian) Zbl 1277.70015 Boll. Unione Mat. Ital., Sez. A, Mat. Soc. Cult. (8) 10, No. 1, 55-83 (2007). MSC: 70F15 70-02 70-03 37J40 37N05 PDFBibTeX XMLCite \textit{A. Giorgilli}, Boll. Unione Mat. Ital., Sez. A, Mat. Soc. Cult. (8) 10, No. 1, 55--83 (2007; Zbl 1277.70015)
Galgani, L.; Giorgilli, A. Recent results on the Fermi-Pasta-Ulam problem. (English. Russian original) Zbl 1120.37049 J. Math. Sci., New York 128, No. 2, 2761-2766 (2005); translation from Zap. Nauchn. Semin. POMI 300, 145-154 (2003). MSC: 37N20 37J40 82C05 PDFBibTeX XMLCite \textit{L. Galgani} and \textit{A. Giorgilli}, J. Math. Sci., New York 128, No. 2, 2761--2766 (2005; Zbl 1120.37049); translation from Zap. Nauchn. Semin. POMI 300, 145--154 (2003) Full Text: DOI
Locatelli, U.; Giorgilli, A. Construction of Kolmogorov’s normal form for a planetary system. (English) Zbl 1128.70304 Regul. Chaotic Dyn. 10, No. 2, 153-171 (2005). MSC: 70F07 70F10 37J40 37N05 70H08 PDFBibTeX XMLCite \textit{U. Locatelli} and \textit{A. Giorgilli}, Regul. Chaotic Dyn. 10, No. 2, 153--171 (2005; Zbl 1128.70304) Full Text: DOI Link
Giorgilli, Antonio Relevance of exponentially large time scales in practical applications: Effective fractal dimensions in conservative dynamical systems. (English) Zbl 0706.70029 Nonlinear evolution and chaotic phenomena, Proc. NATO ASI, Noto/Italy 1987, NATO ASI Ser., Ser. B 176, 161-170 (1988). MSC: 70K50 37J35 37K10 PDFBibTeX XML
Benettin, Giancarlo; Galgani, Luigi; Giorgilli, Antonio Realization of holonomic constraints and freezing of high frequency degrees of freedom in the light of classical perturbation theory. I. (English) Zbl 0646.70013 Commun. Math. Phys. 113, 87-103 (1987). MSC: 70H05 70F20 70J99 82B05 37J35 37K10 PDFBibTeX XMLCite \textit{G. Benettin} et al., Commun. Math. Phys. 113, 87--103 (1987; Zbl 0646.70013) Full Text: DOI