Berretti, Alberto; Gentile, Guido Scaling of the critical function for the standard map: Some numerical results. (English) Zbl 1053.37020 Nonlinearity 17, No. 2, 649-670 (2004). Reviewer: William J. Satzer jun. (St. Paul, Minnesota) MSC: 37E40 37C55 37J10 37J40 70K43 70H12 PDFBibTeX XMLCite \textit{A. Berretti} and \textit{G. Gentile}, Nonlinearity 17, No. 2, 649--670 (2004; Zbl 1053.37020) Full Text: DOI arXiv
Berretti, Alberto; Gentile, Guido Periodic and quasi-periodic orbits for the standard map. (English) Zbl 1038.37047 Commun. Math. Phys. 231, No. 1, 135-156 (2002). MSC: 37J40 37E40 37E45 PDFBibTeX XMLCite \textit{A. Berretti} and \textit{G. Gentile}, Commun. Math. Phys. 231, No. 1, 135--156 (2002; Zbl 1038.37047) Full Text: DOI
Berretti, Alberto; Gentile, Guido Bryuno function and the standard map. (English) Zbl 0990.37028 Commun. Math. Phys. 220, No. 3, 623-656 (2001). Reviewer: Messoud Efendiev (Berlin) MSC: 37E40 37J10 37J40 PDFBibTeX XMLCite \textit{A. Berretti} and \textit{G. Gentile}, Commun. Math. Phys. 220, No. 3, 623--656 (2001; Zbl 0990.37028) Full Text: DOI arXiv
Berretti, Alberto; Gentile, Guido Non-universal behaviour of scaling properties for generalized semistandard and standard maps. (English) Zbl 1019.37026 Nonlinearity 14, No. 5, 1029-1039 (2001). MSC: 37E40 37J10 37J40 70H05 PDFBibTeX XMLCite \textit{A. Berretti} and \textit{G. Gentile}, Nonlinearity 14, No. 5, 1029--1039 (2001; Zbl 1019.37026) Full Text: DOI Link
Berretti, Alberto; Gentile, Guido Scaling properties for the radius of convergence of Lindstedt series: Generalized standard maps. (English) Zbl 0997.37027 J. Math. Pures Appl., IX. Sér. 79, No. 7, 691-713 (2000). Reviewer: Messoud Efendiev (Berlin) MSC: 37J10 37E40 37J40 37E45 PDFBibTeX XMLCite \textit{A. Berretti} and \textit{G. Gentile}, J. Math. Pures Appl. (9) 79, No. 7, 691--713 (2000; Zbl 0997.37027) Full Text: DOI
Berretti, Alberto; Marmi, Stefano Scaling near resonances and complex rotation numbers for the standard map. (English) Zbl 0967.37502 Nonlinearity 7, No. 2, 603-621 (1994). MSC: 37J10 37E40 37J40 PDFBibTeX XMLCite \textit{A. Berretti} and \textit{S. Marmi}, Nonlinearity 7, No. 2, 603--621 (1994; Zbl 0967.37502) Full Text: DOI Link
Berretti, A.; Celletti, A.; Chierchia, L.; Falcolini, C. Natural boundaries for area-preserving twist maps. (English) Zbl 0892.58062 J. Stat. Phys. 66, No. 5-6, 1613-1630 (1992). MSC: 37F99 41A21 37C75 PDFBibTeX XMLCite \textit{A. Berretti} et al., J. Stat. Phys. 66, No. 5--6, 1613--1630 (1992; Zbl 0892.58062) Full Text: DOI