Mastropietro, Vieri; Procesi, Michela Lindstedt series for periodic solutions of beam equations with quadratic and velocity dependent nonlinearities. (English) Zbl 1204.35023 Commun. Pure Appl. Anal. 5, No. 1, 1-28 (2006). MSC: 35B10 35B32 35L75 37K55 74K10 74H45 PDFBibTeX XMLCite \textit{V. Mastropietro} and \textit{M. Procesi}, Commun. Pure Appl. Anal. 5, No. 1, 1--28 (2006; Zbl 1204.35023) Full Text: DOI arXiv
Gentile, G.; Mastropietro, V. Convergence of Lindstedt series for the nonlinear wave equation. (English) Zbl 1061.35012 Commun. Pure Appl. Anal. 3, No. 3, 509-514 (2004). Reviewer: Igor Andrianov (Köln) MSC: 35B10 35B32 35L70 37K55 PDFBibTeX XMLCite \textit{G. Gentile} and \textit{V. Mastropietro}, Commun. Pure Appl. Anal. 3, No. 3, 509--514 (2004; Zbl 1061.35012) Full Text: DOI
Gentile, Guido; Mastropietro, Vieri Construction of periodic solutions of nonlinear wave equations with Dirichlet boundary conditions by the Lindstedt series method. (English) Zbl 1065.35028 J. Math. Pures Appl. (9) 83, No. 8, 1019-1065 (2004). Reviewer: Michal Fečkan (Bratislava) MSC: 35B10 35L70 35L20 35B20 35F20 37K55 81T17 PDFBibTeX XMLCite \textit{G. Gentile} and \textit{V. Mastropietro}, J. Math. Pures Appl. (9) 83, No. 8, 1019--1065 (2004; Zbl 1065.35028) Full Text: DOI
Mastropietro, V. Arnold diffusion and the D’Alembert precession problem. (English) Zbl 1007.37028 Regul. Chaotic Dyn. 6, No. 4, 355-375 (2001). Reviewer: I.A.Taimanov (Novosibirsk) MSC: 37J40 70F15 PDFBibTeX XMLCite \textit{V. Mastropietro}, Regul. Chaotic Dyn. 6, No. 4, 355--375 (2001; Zbl 1007.37028) Full Text: DOI
Gallavotti, G.; Gentile, G.; Mastropietro, V. Hamilton-Jacobi equation, heteroclinic chains and Arnol’d diffusion in three time scale systems. (English) Zbl 0989.37059 Nonlinearity 13, No. 2, 323-340 (2000). Reviewer: Messoud Efendiev (Berlin) MSC: 37J45 37J40 37D05 34C37 70H08 PDFBibTeX XMLCite \textit{G. Gallavotti} et al., Nonlinearity 13, No. 2, 323--340 (2000; Zbl 0989.37059) Full Text: DOI arXiv
Gallavotti, G.; Gentile, G.; Mastropietro, V. On homoclinic splitting problems. (English) Zbl 0997.37036 Physica D 137, No. 1-2, 202-204 (2000). MSC: 37J40 70H05 37G99 PDFBibTeX XMLCite \textit{G. Gallavotti} et al., Physica D 137, No. 1--2, 202--204 (2000; Zbl 0997.37036) Full Text: DOI arXiv
Gallavotti, G.; Gentile, G.; Mastropietro, V. Mel’nikov’s approximation dominance. Some examples. (English) Zbl 0983.37074 Rev. Math. Phys. 11, No. 4, 451-461 (1999). Reviewer: Messoud Efendiev (Berlin) MSC: 37J40 37C29 34E10 34C37 PDFBibTeX XMLCite \textit{G. Gallavotti} et al., Rev. Math. Phys. 11, No. 4, 451--461 (1999; Zbl 0983.37074) Full Text: DOI arXiv
Gentile, Guido; Mastropietro, Vieri A possible mechanism for the KAM tori breakdown. (English) Zbl 0958.37036 Simó, Carles (ed.), Hamiltonian systems with three or more degrees of freedom. Proceedings of the NATO Advanced Study Institute, S’Agaró, Spain, June 19-30, 1995. Dordrecht: Kluwer Academic Publishers. NATO ASI Ser., Ser. C, Math. Phys. Sci. 533, 372-376 (1999). MSC: 37J40 70H08 37N20 PDFBibTeX XMLCite \textit{G. Gentile} and \textit{V. Mastropietro}, NATO ASI Ser., Ser. C, Math. Phys. Sci. 533, 372--376 (1999; Zbl 0958.37036)
Gallavotti, G.; Gentile, G.; Mastropietro, V. A field theory approach to Lindstedt series for hyperbolic tori in three time scales problems. (English) Zbl 0966.37030 J. Math. Phys. 40, No. 12, 6430-6472 (1999). Reviewer: Mamed Rajabov (Baku) MSC: 37J40 70H08 81T18 PDFBibTeX XMLCite \textit{G. Gallavotti} et al., J. Math. Phys. 40, No. 12, 6430--6472 (1999; Zbl 0966.37030) Full Text: DOI arXiv
Bonetto, Federico; Gallavotti, Giovanni; Gentile, Guido; Mastropietro, Vieri Lindstedt series, ultraviolet divergences and Moser’s theorem. (English) Zbl 0931.37034 Ann. Sc. Norm. Super. Pisa, Cl. Sci., IV. Ser. 26, No. 3, 545-593 (1998). MSC: 37K55 37K05 37N20 PDFBibTeX XMLCite \textit{F. Bonetto} et al., Ann. Sc. Norm. Super. Pisa, Cl. Sci., IV. Ser. 26, No. 3, 545--593 (1998; Zbl 0931.37034) Full Text: arXiv Numdam EuDML
Gentile, G.; Mastropietro, V. KAM theorem revisited. (English) Zbl 0896.58030 Physica D 90, No. 3-4, 225-234 (1996). MSC: 37J99 81T17 70H05 PDFBibTeX XMLCite \textit{G. Gentile} and \textit{V. Mastropietro}, Physica D 90, No. 3--4, 225--234 (1996; Zbl 0896.58030) Full Text: DOI
Gallavotti, G.; Gentile, G.; Mastropietro, V. Field theory and KAM tori. (English) Zbl 0849.58038 Math. Phys. Electron. J. 1, No. 5, 13 p. (1995). MSC: 37J35 37K10 81T15 PDFBibTeX XML Full Text: arXiv EuDML EMIS
Gentile, G.; Mastropietro, V. Tree expansion and multiscale analysis for KAM tori. (English) Zbl 0841.58037 Nonlinearity 8, No. 6, 1159-1178 (1995). Reviewer: D.Motreanu (Iaşi) MSC: 37C75 34D10 37C55 PDFBibTeX XMLCite \textit{G. Gentile} and \textit{V. Mastropietro}, Nonlinearity 8, No. 6, 1159--1178 (1995; Zbl 0841.58037) Full Text: DOI Link